Student coauthors are underlined.

Items are shown in the following order: book chapters, peer-reviewed archival journal articles, conference proceedings, presentations, posters

*Asterisk (when given) indicates corresponding author.

### 2015

__Homel, M.H.__and R. M. Brannon (2015) Relaxing the Multi-Stage Nested Return Algorithm for Curved Yield Surfaces and Nonlinear Hardening Laws, Int. J. Fracture. Accepted 2015-06-15.- Huq, F., L. Graham-Brady, and R. Brannon* (2015) An Efficient Binning Scheme with Application to Statistical Crack Mechanics, Int. J. Num. Meth. Engr. Accepted with Minor Revisions April, 2015.
- Pučik, T., J.A. Burghardt, and R.M. Brannon* (2015) Instability and nonuniqueness induced by nonassociated plastic flow— Part 1: a case study, J. of the Mechanics of Materials and Structures, accepted May 2015.
- Burghardt, J.A. and R.M. Brannon (2015) Instability and nonuniqueness induced by nonassociated plastic flow— Part 2: investigation of three constitutive features that eliminate or delay the Sandler-Rubin instability, J. of the Mechanics of Materials and Structures, accepted May 2015.
- Homel, M.A., Guilkey, J., Brannon, R.M., “Numerical Solution for Plasticity Models using Consistency Bisection and a Transformed-Space Closest-Point Return”, In Review, Computational Mechanics, 2015.
- Homel, M.A., Guilkey, J., Brannon, R.M., “Mesoscale Validation of the Effective Stress Approach for Modeling the Plastic Deformation of Fluid-Saturated Porous Material”, In Review, Mechanics of Materials, 2015.
- Homel, M.A., Brannon, R.M., Guilkey, J., “Controlled Numerical Fracture in the Material Point Method (MPM) with Convective Particle Domain Interpolation (CPDI) Domain Scaling”, In Review, Int. J. Numerical Methods in Engineering, 2015.
- Homel, M.A., Guilkey, J., Brannon, R.M., “Continuum Effective-Stress Approach for High-Rate Plastic Deformation of Fluid-Saturated Geomaterials with Application to Shaped-Charge Jet Penetration”, In Review, J. Applied Geophysicss, 2015.
- Lori Graham-Brady,
__Farah Huq__,__Junwei Liu__, and Rebecca Brannon (2015) Efficient implementation of a strain-rate dependent constitutive relationship for ceramics, 29^{th}International Conference and Exposition on Advanced Ceramics and Composites, Jan 25-30, 2015, Daytona Beach, FL, USA. - Huq, F., L. Graham-Brady, and R. Brannon (2015) Efficient Binning of Random Samples Applied to a Micromechanics Damage Model for Brittle Materials, Engineering Mechanics Institute Conference 2015, Stanford University, CA, June 16-19, 2015.
- Huq, F., L. Graham-Brady, and R. Brannon (2015) Modeling dynamic brittle failure using efficiently binned crack families, MACH conference, April 8‐10, 2015, Annapolis, MD.

### 2014

- Strack, O.E.,
__R.B. Leavy__, and R.M. Brannon (2014) Aleatory uncertainty and scale effects in computational damage models for failure and fragmentation, Int. J. Num. Meth. in Engr. special issue celebrating the 70^{th}birthday of Ted Belytschko, Accepted March 25, 2014,**invited paper**. - Brannon, RM and
__TJ Gowen__. (2014) Aleatory quantile surfaces in damage mechanics. J Eur Ceram Soc., 34(11), pp. 2643-2653 http://dx.doi.org/10.1016/j.jeurceramsoc.2014.01.006.**The coauthor, Travis Gowen, was an undergraduate, who applied what he had learned in his coursework about 3D Mohr’s circle and***Mathematica*to a problem of contemporary research interest. __Kamojjala, K.__and R.M. Brannon. (2014) Data relocalization to mitigate slow convergence caused by under-resolved stress fields in computational damage mechanics. J Eur Ceram Soc,**34**(11) pp. 2723-2730 http://dx.doi.org/10.1016/j.jeurceramsoc.2013.12.016.- Sanders, A. P. and R. M. Brannon (2014) A simple surrogate test method to rank the wear performance of prospective ceramic materials under hip prosthesis edge-loading conditions. Journal of Biomedical Materials Research Part B: Applied Biomaterials, 102B: 311-321. DOI: 10.1002/jbm.b.33009
__Tonge, Andrew L.__,__Brian Leavy__, Jerry LaSalvia, Brian Schuster, Rebecca Brannon, and K.T. Ramesh (2014) A quantitative approach to comparing high velocity impact experiments and simulations using XCT data, 13^{th}Hypervelocity Impact Symposium 2014, April 27-30, Boulder Colorado, Procedia Engineering, accepted.__Homel, M.A.__, R.M. Brannon, and J.E. Guilkey (2014) Simulation of shaped-charge jet penetration into drained and undrained sandstone using the material point method with new approaches for constitutive modeling, 11th World Congress on Computational Mechanics (WCCM XI), 5th European Conference on Computational Mechanics (ECCM V), 6th European Conference on Computational Fluid Dynamics (ECFD VI) E. Oñate, J. Oliver and A. Huerta (Eds)- Kamojjala, KC, J. Lacy, H. Chu, and R.M. Brannon (2014) Validation Study of Unnotched Charpy and Taylor-Anvil Impact Experiments Using Kayenta, Idaho National Laboratories Report INL/EXT-14-33981, December 2014,
- M. Homel, Sadeghirad, A., J. Colovos, and R.M. Brannon (2014) Development and implementation of Arenisca, a simplified geomodel, in Uintah. User’s Guide Report (limited distribution).
- Macon, D.J., R.M. Brannon, and O.E. Strack (2014) Plastic Cap Evolution Law Derived From Induced Transverse Isotropy In Dilatational Triaxial Compression, Sandia National Laboratories report # SAND2014-1217. [available at http://www.osti.gov/scitech/biblio/1124619
- Brannon, R.M., and J. Burghardt (2014) Two questions for crystal plasticity researchers: (1) Is classical non-associative plasticity intrinsically flawed because of achronicity? (2) Do elastic and plastic texture tensors have common eigenprojectors? Johns Hopkins Civil Engineering meeting of Research Group of Somnath Ghosh, Baltimore MD, March 13, 2014

(invited). - Brannon, R.M. (2014) Deficiencies in overlapping support of CPDI particle basis functions without loss of partition of unity or loss of convergence, 8th Annual MPM workshop, March 9, 2014, Oregon State University, OR (invited).
- Brannon, R.M., K.C. Kamojjala, J. Burghardt, M. Homel, and T. Gowen (2014) Aleatory Uncertainty in Constitutive Models: microphysical insight converted to practical engineering mechanics software, March 13, 2014, Johns Hopkins Distinguished Seminar Series. (invited).
- Brannon, R.M. (2014) An Introduction to the Material Point Method (MPM) with Applications to Penetration and Blast Loading, Distinguished Lecture Series, 2hour talk. June 26, 2014, Albuquerque, NM, Expenses paid (invited).
- Huq, F., R.M. Brannon, and L. Graham-Brady (2014) Initialization of Statistical Crack Properties in Continuum-Scale Domains , Continuum Models Discrete Systems -13, July 21-25, 2014, Salt Lake City, UT (invited).
__S. Schmidt__, J. Guilkey, and R.M. Brannon (2014) Instability in Some Large-Shear Problems Solved with the Material Point Method, Verification and Validation Symposium, Las Vegas, Nevada, May 7-9 (accepted).__K.C. Kamojjala__and R.M. Brannon (2014) Data relocalization to accelerate convergence for failure initiation statistics in problems with known stress concentrations, Las Vegas, Nevada, May 7-9 (accepted).__Ghodrati, E., H. Sarmadi__, and R.M Brannon (2014) A continuum representation for soil disaggregation with subsequent recompression to model blast effects, 17th U.S. National Congress on Theoretical & Applied Mechanics, June 15-20, 2014, Michigan State University.__B. Leavy__, Peitsch, C., W. Bruchey, O.E. Strack, R. Brannon (2014) X-ray Computed Tomography (XCT) of Ceramics, 38th International Conference and Expo on Advanced Ceramics and Composites, Jan. 26-31, 2014, Daytona Beach, FL, Poster ICACC-S4-P044-2014.

### 2013

__K.C. Kamojjala__, R. Brannon,__A. Sadeghirad__, and J. Guilkey (2013) Verification tests in solid mechanics, Engineering with Computers, 1-21. http://dx.doi.org/10.1007/s00366-013-0342-x- Sanders, AP, and RM Brannon (2013) A simple surrogate wear test for edge loading in ceramic hip prostheses. Journal of Biomedical Materials Research, accepted 15 July 2013, Published online 00 Month 2013 in Wiley Online Library (wileyonlinelibrary.com). http://dx.doi.org/10.1002/jbm.b.33009
- Sanders, A.; Tibbitts, I.; Kakarla, D.; Siskey, S.; Ochoa, J.; Ong, K. & Brannon, R. (2013) Contact-Coupled Impact of Slender Rods: Analysis and Experimental Validation Experimental Mechanics, Springer US, 1-12. http://dx.doi.org/DOI 10.1007/s11340-013-9778-6
__Sadeghirad, A.,__R. M. Brannon, J.E. Guilkey (2013) Second-order convected particle domain interpolation (CPDI2) with enrichment for weak discontinuities at material interfaces, Int. J. Num. Meth. Engr., vol. 95, 928-952 http://dx.doi.org/10.1002/nme.4526.- Bonifasi-Lista, C., R.M., Brannon, J.E. Guilkey (2013) Recent developments in Particle-Based Method for simulation of explosive blast, III International Conference on Particle-Based Methods – Fundamentals and Applications (PARTICLES 2013), September 18-20, 2013, Stuttgart, Germany. Accepted 2013-04-03.
__Leavy, B.__, J. Clayton, O.E. Strack, R.M. Brannon, and E. Strassburger (2013) Edge on Impact Simulations and Experiments, 12^{th}Hypervelocity Impact Symposium 2012, 16-20 September, 2012, Procedia Engineering 58 ( 2013 ) 445 – 452.- Brannon, R.M. (2013) Some recent advances in the Material Point Method for high-rate large-deformation penetration and blast loading. MMEC Distinguished Seminar Series, Massachusetts Institute of Technology, October 1, 2013, Cambridge MA. (
**invited**) - Brannon, R.M. (2013) An extended list of questions in macroscale constitutive modeling answerable through micromechanical analysis, HEMI Seminar, Johns Hopkins University, Aug. 13, 2013 Baltimore, MD (
**invited**). - Brannon, R.M. and A. Sadeghirad (2013) Deformation and Fracture of Heterogeneous Media using Boundary-Conforming Convected Particle Characteristic Functions in the Material Point Method. “Critical Assessment of the State of the Art Mechanics and Computational Methods for Predicting Fracture and Failure of Solids and Structures” in honor of Prof. Ted Belytschko’s 70th birthday. April 19, 2013, Northwestern University. (invited).
- Brannon, R.M., B. Banerjee, C. Bonifasi, A. Yarahmadi, and E. Ghodrati (2013) Simulation of buried explosives using recent advances in the Material Point Method, Advances in Computational Mechanics: A Conference Celebrating the 70
^{th}Birthday of Thomas J.R. Hughes, February 24-27, 2013, San Diego, CA. (KEYNOTE). - Brannon, R.M. (2013) Computational Geomechanics at the University of Utah, Schlumberger Ambassador Overview, Salt Lake City, UT, May 14, 2013. (invited)
__Bonifasi-Lista, C.,__R.M. Brannon, and J. Wiskin (2013) New Developments in Particle-Based Method for Blast Simulation of Explosives, 7^{th}MPM Workshop, March 14-15, Salt Lake City UT.__Colovos, James W.__,__Michael A. Homel__, and Rebecca M. Brannon (2013) Numerical Fracture in the Material Point Method with Convective Particle Domain Interpolation, USNCCM12, July 22-25, 2013, Raleigh, North Carolina.__A. Yarahmadi__, R. Brannon, C. Bonifasi-Lista (2013) A thermoplastic constitutive modeling and geotechnical centrifuge simulation of partially saturated soil under buried explosive loading, ASME 2013 International Mechanical Engineering Congress & Exposition San Diego, California, November 2013.- R. M. Brannon and
__T. Gowen__(2013) Strength Perturbations and Scale Effects due to Aleatory Uncertainty in Crack Orientations. CERMODEL 2013: Modeling and Simulation meet Innovation in Ceramics Technology, July 10-12, 2013, Trento-Italy. __Homel, M.__, J. Guilkey, and R.M. Brannon (2013) Numerical Fracture in the Material Point Method with Convective Particle Domain Interpolation”) 7^{th}MPM Workshop, March 14-15, Salt Lake City, UT (best presentation award).__K. Kamojjala__, J. M. Lacy, and R. M. Brannon (2013) Effects of Statistical Variability of Strength and Scale Effects on the Convergence of Unnotched Charpy and Taylor Anvil Impact Simulations, Verification and Validation Symposium, Las Vegas, Nevada, May 22-24.__K. Kamojjala__, R. M. Brannon (2013) Alternative Stress Field Regularization to Preserve Probabilities of Failure Initiation: A Case Study, CERMODEL2013 Modeling And Simulation Meet Innovation In Ceramics Technology, Trento, Italy, July 10-12.__A. Yarahmadi__, R.M. Brannon, and__C. Bonifasi-Lista__(2013) Dynamic Behavior of Saturated Soil under Buried Explosive Loading. SEM 2013 Annual Conference & Exposition on Experimental and Applied Mechanics, June 3-6, 2013, Lombard, IL. http://sem.org/APP-CONF-AC-List2-Abstract.asp?PaperNo=388.__Bonifasi-Lista__, C., R.M., Brannon, and J.E. Guilkey (2013) Recent developments in Particle-Based Method for simulation of explosive blast, 3rd. Conference on Particle-Based Methods (PARTICLES 2013), September 18-20, 2013, Stuttgart, Germany. Accepted 2013-04-03.- Sanders, AP, and RM Brannon (2013) A simple surrogate wear test for edge loading in ceramic hip prostheses, Poster No. 1031, Orthopaedic Research Society Annual Meeting, San Antonio, TX, January 26-29, 2013. http://prgmobileapps.com/ors2013/mobilesite/posterinfo.php?author=Anthony Sanders

### 2012

__Sanders, A.P.__,__P. Dudhiya__, and R.M. Brannon (2012) Thin Hard Crest on the Edge of Ceramic Acetabular Liners Accelerates Wear in Edge Loading, Brief Communication,*J. Arthroplasticy*, pp. 150-152 , doi:10.1016/j.arth.2011.08.012.- T. J. Fuller and R. M. Brannon, “On the effects of deformation-induced anisotropy on classical elastic-plastic materials,”
*Int. J. Num. Anal. Meth. in Geomechanics*, vol. accepted Nov. 28, 2011, pp. TBD, 2012. - J. Meyer H. W. and R. M. Brannon, “,”
*Int. J. of Impact Engineering*, vol. 42, pp. 48-58, 2012. - A. Sanders, I. Tibbitts, and R. Brannon, “Concomitant evolution of wear and squeaking in dual-severity, lubricated wear testing of ceramic-on-ceramic hip prostheses,”
*Journal of Orthopaedic Research*, pp. n/a–n/a, 2012. __Burghardt, J. A.__, R. Brannon, and J. Guilkey (2012) A nonlocal plasticity formulation for the material point method. International Journal for Computational Methods in Engineering Science & Mechanics (CMES)**vol. 225-228**pp. 55-64. http://dx.doi.org/10.1016/j.cma.2012.03.007.__Leavy, B.__, J. Clayton, O.E. Strack, R.M. Brannon, and E. Strassburger (2013) Edge on Impact Simulations and Experiments, 12^{th}Hypervelocity Impact Symposium 2012, 16-20 September, 2012, Procedia Engineering 58 ( 2013 ) 445 – 452.- Brannon, R. and K. Kamojjala (2012) Questions in macroscale constitutive modeling that might be answered through mesoscale simulations, International Workshop on Computational Mechanics of Materials (IWCMM) XXII, Sept. 24-26, 2012, Baltimore, MD. (KEYNOTE).
- Kamojjala, K. and R.M. Brannon (2012) Verification and Validation in Solid Mechanics. SIAM Conference on Uncertainty Quantification, Raleigh, NC. April 2-4, 2012. (invited) http://www.siam.org/meetings/uq12/index.php
- Burghardt, J. and R.M. Brannon (2012) Nonuniqueness and instability of classical formulations of nonassociative plasticity: nontraditional plasticity models and the Sandler-Rubin instability. International Symposium on Plasticity and Its Current Applications 2012, Jan. 3-8, 2012, San Juan, Puerto Rico. (KEYNOTE)
- Homel, M. and R.M. Brannon (2012) Semi-Empirical Effective Stress Model for Quasi-static Deformation of Fluid- Saturated Porous Materials. International Symposium on Plasticity and Its Current Applications 2012, Jan. 3-8, 2012, San Juan, Puerto Rico. (invited)
__Leavy, B.,__J. D. Clayton, T.J. Fuller, R.M. Brannon (2012) The use of mesoscale simulations to inform a macroscale ceramic model for aluminum oxynitride, International Workshop on Computational Mechanics of Materials (IWCMM) XXII, Sept. 24-26, 2012, Baltimore, MD.__Leavy, B.__, J. Clayton, O.E. Strack, R.M.Brannon, and E. Strassburger (2012) Edge on Impact Simulations and Experiments, 12^{th}Hypervelocity Impact Symposium 2012, 16-20 September 2012, Baltimore, MD.__Kamojjala, K.C.__,__M.S. Swan__, and R.M. Brannon (2012) Validation of Strain-Based Failure Models Using Unnotched Charpy Tests, 2012 ASME Verification and Validation Symposium, May 2-4, Las Vegas, NV.__Tibbitts, I.B.__,__A.P. Sanders__, and R.M. Brannon (2012) Wear alters the dynamics of a ceramic hip wear test with edge loading, Orthopaedic Research Society Annual Meeting, San Francisco, CA, Feb. 4-7, 2012.__Sanders, A.__and R.M. Brannon (2012) Scaled Surrogate Hertzian Bearing Pairs for Contact and Wear Testing, Poster 2070, Orthopaedic Research Society Annual Meeting, San Francisco, CA, Feb. 4-7, 2012, Poster 2070.__Kakarla, D..____A.P. Sanders__, S. Siskey, K. Ong, N. Ames, J.O. Ochoa, and R.M. Brannon (2012) Modeling, Testing, and Analysis of Impulse Response of Femoral Head Reduction in Ceramic Hip Prostheses, Poster No. 2076, Orthopaedic Research Society Annual Meeting, San Francisco, CA, Feb. 4-7, 2012.

### 2011

__Sadeghirad, A.,__R. M. Brannon, and__J. Burghardt__(2011) A convected particle domain interpolation technique to extend applicability of the material point method for problems involving massive deformations,*Int. J. Numer. Meth. in Engr.*,**86**(12), pp. 1435-1456. http://www.mech.utah.edu/~brannon/pubs/7-2011-SadeghiradBrannonBurghardt-NME.pdf__Sanders, A. P.__and R. M. Brannon (2011) Assessment of the Applicability of Hertzian Contact Theory to Edge-Loaded Prosthetic Hip Bearings*Journal of Biomechanics*, pp. 2802-2808. http://dx.doi.org/10.1016/j.jbiomech.2011.08.007__Fuller, T.J.__and R.M. Brannon (2011) On the thermodynamic requirement of elastic stiffness anisotropy in isotropic materials.*Int. J. Eng. Sci.*v. 79, pp. 311-321.

http://www.mech.utah.edu/~brannon/pubs/7-2011FullerBrannonInducedElasticAnisotropy.pdf__Sanders, A. P.__and R. M. Brannon (2011) Determining a Surrogate Contact Couple in a Hertzian Contact Problem,*Journal of Tribology—Transactions of the ASME*, v. 133(2), pp. [024502-]1-6 http://www.mech.utah.edu/~brannon/pubs/7-2011-SandersBrannon-IJT.pdf.- J. Burghardt and R. M. Brannon, “Nonuniqueness and instability of classical formulations of nonassociative plasticity, Part II: effect of nontraditional plasticity features on the Sandler-Rubin instability,” , pp. (in review), 2011. [Uintah]
- Sadeghirad, A., R. M. Brannon, and
__J. Burghardt__(2011) A convected particle domain interpolation technique to extend applicability of the material point method for problems involving massive deformations,*Int. J. Numer. Meth. in Engr.*,**86**(12), pp. 1435-1456. http://www.mech.utah.edu/~brannon/pubs/7-2011-SadeghiradBrannonBurghardt-NME.pdf. - T. J. Fuller and R. M. Brannon, “On the thermodynamic requirement of elastic stiffness anisotropy in isotropic materials,”
*International Journal of Engineering Science*, vol. 79, pp. 311-321, 2011. - Brannon, R.M., A.F. Fossum, and O.E. Strack (2011) A Computational Model for Three-Dimensional Materials Containing Arbitrary Joint Sets,
*Final Report and Proceedings of the GSFM 2010 Workshop: 11 – 15 January 2010*. Defense Threat Reduction Agency, DTRA-TR-10-27, April 2011. Washington, DC. - A. Sanders, I. Tibbitts, D. Kakarla, S. Siskey, J. Ochoa, Ong K., and R. Brannon, “Contact mechanics of impacting slender rods: measurement and analysis,” 2011.
- A. Sadeghirad, R. M. Brannon, and J. E. Guilkey (2011) “Enriched convected particle domain interpolation (CPDI) method for analyzing weak discontinuities. [Uintah]
- Brannon, R. M.,
__K.C. Kamojjala__, and A. Sadeghirad (2011) Establishing credibility of particle methods through verification testing.*Particles 2011*, E. Oñate and D.R.J. Owen (Eds). __Sanders, A.__,__Tibbitts, I.__,__Kakarla, D.__, Siskey, S., Ochoa, J., Ong, K., and Brannon, R. (2011) Contact mechanics of impacting slender rods: measurement and analysis,*SEM Annual Conference*, Uncasville, CT, June 13-16, 2011. Springer NY, v.1, pp. 229-236. http://www.springerlink.com/content/n09q8v08716n6865/?MUD=MP__Sadeghirad, A.__and R. M. Brannon, and J.E. Guilkey (2011) Enriched convected particle domain interpolation (CPDI) method for analyzing weak discontinuities.*Particles 2011*, E. Oñate and D.R.J. Owen (Eds).- Brannon, R. M.,
__K.C. Kamojjala__, and A. Sadeghirad (2011) Establishing credibility of particle methods through verification testing.*Particles 2011*, E. Oñate and D.R.J. Owen (Eds). - Brannon, R. M.,
__K.C. Kamojjala__, and__A. Sadeghirad__(2011) Establishing credibility of particle methods through verification testing. Proceedings of Particles 2011. International Center for Numerical Methods in Engineering. Barcelona, Spain, ECCOMAS Special Interest Conference, Oct. 26-28, 2011, E. Oñate and D.R.J. Owen (Eds). __Sadeghirad, A.__and R. M. Brannon, and J.E. Guilkey (2011) Enriched convected particle domain interpolation (CPDI) method for analyzing weak discontinuities. Proceedings of Particles 2011. International Center for Numerical Methods in Engineering. Barcelona, Spain, ECCOMAS Special Interest Conference, Oct. 26-28, 2011.- Brannon, R.M. (2011) The sleazy side of bang-n-splat: verification and validation of blast, impact, and penetration, 14th International Symposium on Interaction of the Effects of Munitions with Structures, Seattle, WA, Sept. 19-23, 2011. (BANQUET SPEAKER).
- Brannon,R.M., A.Sadeghirad, and J. Guilkey (2011) Enriched Convected Particle Domain Interpolation (CPDI) Method for Analyzing Weak Discontinuities, Distinguished Seminar, Los Alamos National Laboratories, May 17, 2011. (invited)
- Brannon, R.M. (2011) Verification and Validation of computational models for shaped charge jet completion of well bores in fluid saturated sandstone. 17th biannual APS Topical Conference on Shock Compression of Condensed Matter, June 26-July1, 2011, Chicago Illinois. (invited)
__K.C. Kamojjala__and R.M. Brannon (2011) Verification of computational constitutive models using the method of manufactured solutions, Workshop on Verification and Validation in Computational Science, University of Notre Dame, October 17-19, 2011.__Burghardt, J.A.__and R.M. Brannon (2011) A method for solving the equations of nonlocal plasticity using the material point method. Sixth M.I.T. Conference on Computational Fluid and Solid Mechanics. Massachusetts Institute of Technology. June 15-17.

### 2010

__Leavy, B.__, R. M. Brannon, Strack, O.E. (2010) The Use of Sphere Indentation Experiments to Characterize Ceramic Damage Models.*Int. J. Applied Ceramic Technology*, v.**7**(5), pp. 606-615. (**invited article for a special issue on ceramic damage**) http://www.mech.utah.edu/~brannon/pubs/7-2009-LeavyBrannonStrack-IJACT.pdf [Uintah]- Brannon, R. M. and
__S. Leelavanichkul__(2010) A multi-stage return algorithm for solving the classical damage component of constitutive models for rocks, ceramics, and other rock-like media.*Int. J. Fracture*v.**163**(1), pp. 133-149. (**invited article for a special issue sponsored by the International Union of Theoretical and Applied Mechanics**). http://www.mech.utah.edu/~brannon/pubs/7-2009BrannonLeelavanichkul-IJF.pdf [Uintah] - J. Burghardt, B. Leavy, J. Guilkey, Z. Xue, and R. Brannon, “Application of Uintah-MPM to shaped charge jet penetration of aluminum,”
*IOP Conference Series: Materials Science and Engineering*, vol. 10, iss. 1, pp. 12223, 2010. [Uintah] __Fuller, T.J.__, R. Brannon, O.E. Strack, and J.E. Bishop (2010) Inclusion of thermodynamic considerations in Kayenta, Sandia National Laboratories. SAND2010-4687.

http://www.mech.utah.edu/~brannon/pubs/7-2010FullerBrannonStrackBishopThermodynamicsInKayenta.pdf- R. M. Brannon, A. F. Fossum, and O. E. Strack, “A Computational Model for Three-Dimensional Materials Containing Arbitrary Joint Sets,” , 2010.
__Burghardt, J. A.__, B. Leavy, J.E. Guilkey, Z. Xue, R. Brannon (2010) Application of Uintah-MPM to shaped charge jet penetration of aluminum.*9th World Congress on Computational Mechanics*, IOP Conf. Series: Materials Science and Engineering, v.10.

http://www.mech.utah.edu/~brannon/pubs/7-2010BurghardtLeavyGuilkeyXueBrannon_ApplicMPMshapedCharge.pdf [Uintah]- Strack, O. E.,
__B. Leavy__, R.M. Brannon, J. Houskamp, R.P. Jensen, C. Krauthauser (2010) An update on the spatially variable Kayenta model.*Advances in Ceramic Armor V: Ceramic Engineering and Science Proceedings*, Daytona Beach, Wiley __Kamojjala, K. C.__and R.M. Brannon (2010) Verification of frame indifference for complicated numerical constitutive models. ASME Early Career Technical Conference (ECTC) Mar 31st – Apr 2nd, 2011 – Fayetteville, AR Fayetteville, AR. http://www.mech.utah.edu/~brannon/pubs/7-2010KamojjalaBrannon_ASME-ECTC.pdf [Uintah]- Sadeghirad, A., R. M. Brannon, and J. Burghardt (2010) Convected particle domain interpolation (CPDI), 6th Annual MPM workshop, Aug. 9-10, 2010, Albuquerque, NM. (invited lead-off presentation). http://www.math.unm.edu/~sulsky/MPMWorkshop/Home.html [Uintah]
- Brannon, R. M. (2010) A Homogenized Rock-Joint (Fault) Formulation for Computational Material Models. DTRA workshop on Ground Shock in Faulted Media, Jan 11, 2010, Washington, DC. (invited, expenses paid by host).
__Sanders, A. P.__and R. M. Brannon (2010) Bearing Materials of Next-Generation Orthopaedic Implants, University of Utah Materials Science Seminar Series (invited).- Brannon, R. (2010) An introduction to the Material Point Method (MPM) for high-rate large deformation of advanced engineered materials with complicated microstructures: Joint Seminar for the Metallurgy Department and Department of Materials Science at the University of Utah. (invited).
__Sadeghirad, A.__, R. M. Brannon, and__J. Burghardt__(2010) Convected particle domain interpolation (CPDI), 6th Annual MPM workshop, Albuquerque, NM. (invited).__Sadeghirad, A.,__R. M. Brannon, et al. (2010) An algorithm for improving the accuracy and stability of the generalized interpolation method. 9th World Congress on Computational Mechanics, Sydney, Australia.__Burghardt, J. A.__,__B. Leavy__, J.E. Guilkey, Z. Xue, R. Brannon (2010) Application of Uintah-MPM to shaped charge jet penetration of aluminum. 9th World Congress on Computational Mechanics, Sydney, Australia.- Sanders, T. and R.M. Brannon (2010) Poster #2258 (ORS2010-1404) Hertzian Contact Theory Applied to Edge-Loaded Ceramic-on-Ceramic Hip Bearings: Analysis and Validation, 56th Annual Meeting of the Orthopaedic Research Society, March 6-9, 2010, New Orleans, LA. Poster Session 62 Implant Wear – Ceramic, poster 2258.

### 2009

- Brannon, R. M.,
__J. A. Burghardt__, David Bronowski, and Stephen Bauer (2009) Experimental Assessment of Unvalidated Assumptions in Classical Plasticity Theory, Sandia National Laboratories, SAND2009-0351.

http://www.mech.utah.edu/~brannon/pubs/7-BrannonBurghardtSAND-Report2009-0351.pdf - S. M. Swan and R. M. Brannon, “Statistical perturbation of material properties in Uintah,” , 2009. [Uintah]
- Brannon, R. M. and
__S. Leelavanichkul__(2009) Survey of four damage models for concrete, Sandia National Laboratories, SAND2009-5544. http://www.mech.utah.edu/~brannon/pubs/7-2009BrannonLeelavanichkulSurveyConcrete.pdf - R. M. Brannon and S. Leelavanichkul, “A multi-stage return algorithm for solving the classical damage component of constitutive models for rocks, ceramics, and other rock-like media,”
*International Journal of Fracture*, vol. 163, pp. 133-149, 2009. [Uintah] __Leavy, B.__, O. E. Strack, R.M. Brannon, R. Jensen, J. Houskamp (2009) Simulation of Experimental Variability with Spatially Heterogeneous Models.*SEM Annual Conference, June 1-4*, Albuquerque, NM, Society for Experimental Mechanics, Inc.

http://sem-proceedings.com/09s/sem.org-SEM-2009-Ann-Conf-s101p01-Simulation-Experimental-Variability-With-Spatially-Heterogeneous.pdf.- Brannon, R. M., A. F. Fossum, and O.E. Strack (2009) KAYENTA: Theory and User’s Guide, Sandia National Laboratories, SAND2009-2282. http://www.mech.utah.edu/~brannon/pubs/7-2009Kayenta_Users_Guide.pdf
- Brannon, R. M. (2009) Theoretical and computational challenges in blast loading and penetration of geological materials, American Physical Society – Shock Compression of Condensed Matter Symposium, June 29-July3, Nashville, TN (PLENARY)
- Brannon, R. M. (2009) A multi-stage return algorithm for solving the classical damage component of constitutive models for rock and rock-like media. IUTAM Symposium on Dynamic Fracture and Fragmentation, Austin, TX. (invited).
- Brannon, R. M. and S. Leelavanichkul (2009) Survey of three damage models for simulating dynamic nonlocal behavior via scale-sensitive uncertainty in failure properties. International Symposium on Plasticity, Jan 3-8, 2009, St. Thomas U.S. Virgin Islands.
**(keynote offered).** __Burghardt, J.A.__, Pučik, T., and R.M. Brannon (2009) A case study of instability and nonuniqueness induced by nonassociated plastic flow, United States National Congress on Computational Mechanics, Columbus, OH, July 16-19, 2009.__Swan, M. S.__and R. M. Brannon (2009) Statistical perturbation of material properties in Uintah, The University of Utah Undergraduate Research Abstracts, pp. 61.__Burghardt, J.A.__, Pučik, T., and R.M. Brannon (2009) A case study of instability and nonuniqueness induced by nonassociated plastic flow, USNCCM Student Poster Session, Columbus, OH, July 16-19, 2009.__Neeman, A.__, R. M. Brannon, et al. (2009) Decomposition and visualization of soil stiffness tensors with VEES. NEES 7th Annual Meeting, June 23-25, 2009 Honolulu, Hawaii. http://www.mech.utah.edu/~brannon/pubs/7-09NeemanBrannonEtAlNEESposter.pdf

### 2008

__A. G. Neeman__, Rebecca Brannon, Boris Jeremić, Allen Van Gelder, Alex Pang (2008) Decomposition and Visualization of Fourth-Order Elastic-Plastic Tensors,*Volume and Point-Based Graphics 2008*, Ed. H.-C. Hege, August 2008, pp. 121-128.**(highly competitive: 17 out of 29 accepted)**http://www.mech.utah.edu/~brannon/pubs/7-2008NeemanBrannonJeremicVanGelderPang.pdf.- Brannon, R. M. and S. Leelavanichkul (2008) Current studies in geologic material models: Formulation and numerical implementation. 79th Shock and Vibration Symposium. Orlando, FL. (invited).
- Brannon, R.M. (2008) High-rate failure of rocks and rock-like materials. Metso Mining Corporate Seminar Series, Colorado Springs, CO (invited).
- Brannon, R.M. (2008) Verification of Computational Dynamic Plasticity Models for Deployment in Multiple Host Codes, International Symposium on Plasticity, Kailua-Kona, HA. (KEYNOTE)
- Brannon, R. M. (2008) Mathematical Challenges in Modeling High Rate Fracture and Failure, University of Utah Mathematics Department, Salt Lake City, UT (invited).

### 2007

- Brannon, R. M. (2007) Elements of Phenomenological Plasticity: geometrical insight, computational algorithms, and applications in shock physics. Y. Horie Ed.. Shock Wave Science and Technology Reference Library: Solids I, Springer-New York. 2: pp. 189-274.
**(BOOK CHAPTER)** - Wells, J. M. and R. M. Brannon (2007) Advances in X-ray Computed Tomography Diagnostics of Ballistic Impact Damage,
*Metallurgical and Materials Transactions A*, Physical Metallurgy and Materials Science 38 A (12), pp. 2943-2949.

http://www.mech.utah.edu/~brannon/pubs/7-2007WellsBrannonAdvancesInXrayComputedTomographyDiagnosticsOfBallisticDamage.pdf - Brannon, R. M., J. M. Wells, and O.E. Strack (2007) Validating theories for brittle damage,
*Metallurgical and Materials Transactions A, Physical Metallurgy and Materials Science*38 A (12), pp. 2861-2868. http://www.mech.utah.edu/~brannon/pubs/7-2007ValidatingTheoriesForBrittleFailure11661_2007_9310_OnlinePDF.pdf - Brannon, R. M. (2007) To question what is known — a survey of tenuous assumptions in high-rate fracture and failure, Hypervelocity Impact Symposium, Williamsburg, VA. (PLENARY)
- Brannon, R. M. (2007) Aleatory Uncertainty in Simulations of Failure and Fragmentation, Department of Aeronautical and Astronautical Engineering, Purdue University, (invited, expenses paid by host).
- Meyer, H. W. J. and R. M. Brannon (2007) A Model for Statistical Variation of Fracture Properties in an Eulerian Continuum Mechanics Code. ASME Applied Mechanics and Materials Conference (McMat), Austin, TX. (invited).
- Fossum, A. F. and R. M. Brannon (2007) Pore collapse vs. Cracking: Competitive Strain Rate Dependence in Salem Limestone ASME Applied Mechanics and Materials Conference (McMat) Austin, TX. (invited).
- Leavy, B., J. Houskamp, H. Miller, O.E. Strack, and R.M. Brannon (2007) Simulations and Experimental Results From Dynamically Impacted Silicon Carbide Ceramics. ASME Applied Mechanics and Materials Conference (McMat) Austin, TX. (invited).
- Fossum, A. F. and R. M. Brannon (2007) A Rate-Sensitive, Limit-State Material Model for Pressure-Sensitive Porous Materials, USNCCM (United States National Congress on Computational Mechanics), San Francisco, CA. (invited).
- Brannon, R. M. (2007) Triumphs and Setbacks in Engineering Simulations of Failure and Fragmentation, Utah State, Logan UT, (invited, expenses paid by host).
- Krauthauser, C.,
__B. Leavy__, T. Weerasooriya, D. Casem, O.E. Strack, and R.M.Brannon (2007) Simulations and experimental results from dynamic Brazilian tests of silicon carbide ceramic cylinders, ASME Applied Mechanics and Materials Conference (McMat), Austin, TX.

### 2006

- Fossum, A.F. and Brannon, R.M. (2006) On a viscoplastic model for rocks with mechanism-dependent characteristic times,
*Acta Geotechnica*, 1 (2), pp. 89-106. http://www.mech.utah.edu/~brannon/pubs/7-2006FossumBrannonMechanismDependentViscoplasticity.pdf - Kim, Wangdo and R.M. Brannon (2006) Factorizing Motions of Soft Tissue Surfaces into Rotation and Stretch, Ninth International Symposium on the 3D analysis of Human Movement, Valenciennes, France, June 28-30, 2006.
- Baer, M.R.; Bell, R.L.; Brannon, R.M.; Crawford, D.A.; Elrick, M.G.; Hertel, E.S. Jr.; Schmitt, R.G.; Silling, S.A.; Taylor, P.A. (2006) CTH User’s Manuals, Sandia National Laboratories Report 2006-3576
- Brannon, R.M. and Strack, O.E. (2006) Size-Dependent Softening in Structural Ceramics, Including Correlations with Mesoscale Interferometry in Impact Experiments, International Symposium on Plasticity, July 17, 2006, Halifax, Nova Scotia. (KEYNOTE)
- Brannon, R.M. and Strack, O.E. (2006) Improving predictiveness of conventional damage models by driving them with experimentally established perturbations in strength and damage properties, 17th US Army Symposium on Solid Mechanics, Sept 24-27, 2006, Ashville, NC. (invited)
- Brannon, R.M. (2006) The Dramatic Influence Of Point-To-Point Variability In Strength On Damage Model Response And Mesh Sensitivity, ARO Workshop on The Role of Damage in Armor Ceramic Performance, ZAI, Arlington, VA, Feb. 14-15, 2006. (invited)
- Strack, O.E., C. Krauthauser, R.M. Brannon, B. Leavy, J. Houskamp (2006) Dynamic Mechanism Studies of Ceramic Models As Applied to Scaled Long-Rod Penetration Interactions, 7th World Congress on Computational Mechanics, Los Angeles, California, July 16 – 22, 2006.
- Brannon, R.M. (2006) A practical approach to modeling fragmentation, University of Utah seminar series.
- Strack, O.E., R.M. Brannon, R.P. Jensen (2006) Spatial Variability of Material Properties to Address Mesh Dependencies of Damage Models, High Performance Computing Modernization Program (HPCMP) Users Group Conference 2006, Denver, Colorado, June 26-29 2006. (invited).

### 2005

- D. B. R. Moo Y. Lee Rebecca M. Brannon, “Uniaxial and Triaxial Compression Tests of Silicon Carbide Ceramics under Quasi-static Loading Condition ,” , 2005.
- P. Crossno, D. Rogers, R. M. Brannon, D. Coblentz, and J.T. Fredrich, “Visualization of Geologic Stress Perturbations using Mohr Diagrams,”
*IEEE Transactions on Visualization and Computer Graphics*, vol. 11, iss. 5, pp. 508-518., 2005. - R.M. Brannon, O.E. Strack, and
__M.G. Veilleux__(2005) Modeling spatial variability and large deformation during failure of an armor ceramic (Silicon Carbide), PM Ground Combat Systems, Detroit MI., Aug. 2005. - Brannon, R.M., O.E. Strack, and M.G. Veilleux (2005) Incorporating micro-heterogeneity in field-scale fragmentation analyses to partially address mesh-dependency of conventional damage models. 8th US National Congress on Computational Mechanics, University of Texas at Austin, July 24-28, 2005 (invited).
- Brannon, R.M. and Strack, O.E. (2005) Overview of the Sandia BFS model for fracture and fragmentation. Cornell Seminar, Dec. 5, 2005. (invited, expenses paid by host).
- Fossum, A.F. and Brannon, R.M. (2005), Numerical Treatment of Mechanism-Dependent Characteristic Times in a Viscoplastic Model for Salem Limestone Based on Experimental Observations, 8th US National Congress on Computational Mechanics held July 25-27 in Austin, Texas, (KEYNOTE).
- Brannon, R.M. (2005) Accepted, rejected, and debatable tenets of plasticity theory in modeling dynamic response of brittle materials, University of California, UCSD distinguished lecturer Seminar San Diego, CA, 14 Feb 2005 (invited).
- Brannon, R.M. (2005) Alternative description of MPM that avoids use of the Dirac delta, rigorously justifies gimp, guides optimal point placement, allows higher-order integration at boundaries, and reduces error for problems having a fractional number of MPM particles per element. University of Utah workshop on the Material Point Method (MPM), Salt Lake City, March 14-15, 2005 (invited).
- Brannon, R.M. (2005) Evolution from physical plasticity to mathematical plasticity, International Symposium on Plasticity, Kauai, HI, 03-09 Jan 2005 (KEYNOTE).
- Brannon, R.M. Strack, O.E., Fossum, A.F., and
__Veilleux, M.G.__(2005) The Influence of Micro-Heterogeneity and Failure Progression Variability on Mesh-Dependency of Conventional Damage Models, Army Research Laboratory, Sept. 12, 2005, Aberdeen, MD. [SAND 2005-5468A] (invited, standing room only). Also in proceeding of: 9th ASCE Specialty Conf. on Prob Mech. and Struct. Reliability. - Brannon, R.M. and Strack, O.E. (2005) Modeling failure of a structural ceramic (Silicon Carbide), PM Combat Systems, Detroit, April 2005.

### 2004

- Lee, M.Y, Brannon, R.M., Bronowski, D.R. (2004) Uniaxial and Triaxial Compression Tests of Silicon Carbide Ceramics under Quasi-static Loading Condition, Sandia National Laboratories Report 2004-6005.
- Coblentz, D., Brannon, R.M., Fredrich, J., Rogers, D.H., Crossno, P. (2004) Visualization of Salt-Induced Stress Perturbations,
*Proceedings IEEE VIS 2004*, Austin, TX, pp. 369-376.**(highly competitive: 24 out of 71 accepted)** - Fossum, A.F. and R.M. Brannon (2004) Unified Compaction/Dilation, Strain-Rate Sensitive, Constitutive Model for Rock Mechanics Structural Analysis Applications,
*North American Rock Mechanics Symposium (ARMA/NARMS)*04-056. - Fossum, A.F. and R.M. Brannon (2004) The Sandia GeoModel: Theory and User’s Guide, Sandia National Laboratories technical report SAND2004-3226.

### 2003

- Coblentz, D., Brannon, R.M., Fredrich, J., Rogers, D.H., Crossno, P. (2003) Imaging Salt-Induced Stress Perturbations with a Tensor Visualization Algorithm Based on the Mohr Diagram: G-cubed (online rapid electronics communications journal).
- Brannon, R. M. (2003) Computational Accuracy of Plasticity Constitutive Models, SAND2003-2716P, Seventh US National Congress on Computational Mechanics (USNCCM), July 27-31, 2003, Albuquerque, NM.
- Crossno, P.J., D.H. Rogers, and R.M. Brannon (2003) SAND2003-1527P Tensor visualization using Mohr’s circles, DOE Computer Graphics Forum and VIS2003, Seattle, WA, Oct 19-24, 2003.
- Brannon, R.M. (2003) Recent work in brittle failure modeling. TCG/1 Winter Meeting, Dec. 3, 2003, Albuquerque, NM. SAND2003-4525P. (invited)

### 2002

- Chen, Z, W. Hu, L. Shen, and R.M. Brannon (2002) An Evaluation of the Material Point Method,
*Engineering Fracture Mechanics*, v. 69 #17, pp. 1873-1890. [Uintah] - Chen, Z, W. Hu, L. Shen, and R.M. Brannon (2002) An Evaluation of the Material Point Method, Sandia National Laboratories report 2002-0482.
- Brannon, R.M., Montgomery, S.T., Aidun, J.B., and Robinson, A.C. (2002) Macro- and Meso-scale Modeling of PZT Ferroelectric Ceramics.
*Shock Compression of Condensed Matter – 2001*, edited by M.D. Furnish, N.N. Thadhani, and Y. Horie, American Institute of Physics, pp. 197-200. - Montgomery, S.T, Brannon, R.M., Robbins, J., Setchell, R.E., Zeuch, D.H. (2002) Simulation of the effects of shock stress and electrical field strength on shock-induced depoling of normally poled PZT 95/5.
*Shock compression of Condensed Matter – 2001*, ed. M.D. Furnish, N.N. Thadhani, and Y. Horie, pp. 201-204. - Brannon, R.M., Aidun, J.B., Robinson, A.C., Montgomery, S.T. (2002) Macro- and mesoscale modeling of PZT ferroelectric ceramics.
*Shock compression of Condensed Matter – 2001*, ed. M.D. Furnish, N.N. Thadhani, and Y. Horie, pp. 201-204. - Burkardt, J., M. Gunzberger, J. Peterson, and R.M. Brannon (2002) User Manual and Supporting Information for Library of Codes for Centroidal Voronoi Point Placement and Associated Zeroth, First, and Second Moment Determination, Sandia National Laboratories Report SAND2002-0099.

### 2001

- Brannon, R.M., Montgomery, S.T., Aidun, J.B., and Robinson, A.C. (2002) Macro- and Meso-scale Modeling of PZT Ferroelectric Ceramics.
*Shock Compression of Condensed Matter – 2001*, edited by M.D. Furnish, N.N. Thadhani, and Y. Horie, American Institute of Physics, pp. 197-200. - Montgomery, S.T, Brannon, R.M., Robbins, J., Setchell, R.E., Zeuch, D.H. (2002) Simulation of the effects of shock stress and electrical field strength on shock-induced depoling of normally poled PZT 95/5.
*Shock compression of Condensed Matter – 2001*, ed. M.D. Furnish, N.N. Thadhani, and Y. Horie, pp. 201-204. - Brannon, R.M., Aidun, J.B., Robinson, A.C., Montgomery, S.T. (2002) Macro- and mesoscale modeling of PZT ferroelectric ceramics.
*Shock compression of Condensed Matter – 2001*, ed. M.D. Furnish, N.N. Thadhani, and Y. Horie, pp. 201-204. - Aidun, J.B., Brannon, R.M., Robbins, J. (2001) Grain-scale simulation of transformation and switching in PZT ceramic. Sandia National Laboratories Report Number SAND2001-0218A for The APS Shock Compression of Condensed Matter Conference, June 24-29, 2001, Atlanta, GA.
- Brannon, R.M. (2001) Prevention of negative plastic work in porous plasticity models. Accepted in The International Journal of Plasticity (but withdrawn by author), http://infoserve.sandia.gov/sand_doc/2001/010208j.pdf
- Brannon, R.M. (2001) Statistical averaging of mesoscale mechanical and electrical properties to model the macroscale response of ferroceramic devices. Sandia National Laboratories Report Number SAND2001-0696A for PAC RIM IV Meeting of the American Ceramics Society, November 4-8, 2001, Wailea, Maui, Hawaii. (invited)
- Brannon, R.M. (2001) Physical issues in the numerical analysis of porous and anisotropic plasticity. 6
^{th}US National Congress on Computational Mechanics, Aug. 1-4, Dearborn, MI. - Potter, B.G., Aidun, J. B., Brannon, R.M., Robbins, J., Brown, K. H. (2001) Grain-scale simulation of shock response in PZT ceramics. PAC RIM IV: International Conference on Advanced Ceramics and Glasses, November 4-8, 2001 in Wailea, Maui, HI, Sandia National Laboratories, SAND2001-0667A. http://infoserve.sandia.gov/sand_doc/2001/010667a.pdf

### 2000

- Meyer, H.W.Jr, T. Abeln, S. Bingert, W.J. Bruchey, R.M.Brannon, L.C. Chhabildas, J.K. Dienes, and J. Middleditch (2000) Crack behavior of ballistically impacted ceramic,
*AIP Conf. Proc.*v. 505, pp. 1109-1112. - Brannon, R.M. (2000) The consistent kinetics porosity (CKP) model: a theory for the mechanical behavior of moderately porous solids. Sandia National Laboratories Report SAND2000-2696. http://infoserve.sandia.gov/sand_doc/2000/002696.pdf.
- Brannon, R.M. (2000) Tensile instabilities for porous plasticity models. Proceedings of the Plasticity 2000 international symposium on plasticity and its current applications, Whistler Resort Canada, July 17 – 21 (invited).
- Brannon, R.M. (2000) On the distinction between large deformation and large distortion for anisotropic materials. Proceedings of the Plasticity 2000 international symposium on plasticity and its current applications, Whistler Resort Canada, July 17 – 21 (invited).
- Brannon, R.M., Aidun, J.B., Robinson, A.C., Montgomery, S.T. (2000) Statistical methods for computing mesoscale polarization and transformation strain from microscale domains in a ferroelectric ceramic. Sandia National Laboratories Report SAND2000-2704C for The 2000 ASME International Mechanical Engineering Congress & Exposition, Orlando, FL, Nov. 5-10, 2000. http://infoserve.sandia.gov/sand_doc/2000/002704c.pdf.
- Brannon, R.M. (2000) Geometrical interpretation of radial and oblique return methods: workshop. Sandia National Laboratories Report SAND99-2991C for The International Symposium on Plasticity and its Current Applications, Whistler, Canada, July 17-21, 2000. http://infoserve.sandia.gov/sand_doc/1999/992991c.pdf.

### 1999

- Brannon, R. M. (1999) A consistent kinetics porosity (CKP) model.
*Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter*, Snowbird, UT, American Institute of Physics, Melville, NY, 301-304. - H.W. Meyer, Jr., T. Abeln, S. Bingert, W.J. Bruchey, R.M. Brannon, L.C. Chhabildas, J.K. Dienes, and J. Middleditch (1999) Impact Phenomena, Hypervelocity Studies and Exotic Shock Configurations Crack Behavior of Ballistically Impacted Ceramic, in Shock Compression of Condensed Matter-1999,
*Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter*, Snowbird, UT, 27 June–2 July 1999, edited by M. D. Furnish, L. C. Chhabildas, and R. X. Hixson (AIP, New York, 2000), p. 1109. - Brannon, R.M. (1999) Grain-Scale Transient Dynamics Simulations of Polar Ceramics, Tri-Laboratory Conference on Modeling and Simulation, Nov. 1999.
- Brannon, R.M. (1999) Statistical crack mechanics: overview, International Mechanical Engineering Congress and Exposition, Nov. 14-19, 1999, Nashville, TN.
- Aidun, J.B., R.M. Brannon, I.J. Fritz, D.M. Hensinger, B.G. Potter, A.C. Robinson, M.D. Rintoul, T.V. Russo, V. Tiara, and S.T. Montgomery (1999) Grain scale transient dynamics simulations of polar ceramics, 3
^{rd}Tri-Laboratory Conference on Modeling and Simulation, Nov. 2-3, 1999, Lawrence Livermore National Laboratory, CA.

### 1998

- Brannon, R.M. (1998) Caveats concerning conjugate stress and strain measures for frame indifferent anisotropic elasticity.
*Acta Mechanica*, v. 129 #1-2, pp. 107-116.

http://csm.mech.utah.edu/content/wp-content/uploads/2011/03/GoBagCaveatConjugatStressTechNote.pdf - Chhabildas, L.C. and Brannon, R.M. (1998) Shock-induced vaporization of zinc: Experiment and numerical simulations.
*Chemical Physics Reports*v. 17 #1-2, pp. 203-213. - Chhabildas, L.C., M.D. Furnish, M. David, R.M. Brannon, and W.D. Reinhart (1998) Sandia hypervelocity gun technology for validating EOS at extreme pressures and temperatures, JOWOG-37 (Joint Work Group), February 2-5, 1998 in Los Alamos, NM.)
- Taylor, P.A. and R.M. Brannon (1998) Modeling of glass-reinforced plastic (GRP) composites for armor applications, ICCE/5 International Community for Composites Engineering, July 5-11, Las Vegas, NV.

### 1997

- Brannon, R.M. (1997) Large deformation analysis of axisymmetric inhomogeneities including coupled elastic and plastic anisotropy, in:
*Advances in Computational Engineering Science*, Ed. S. N. Atluri and G. Yagawa, pp. 1192-1201. - Brannon, R.M. (1997) Axisymmetric statistical crack mechanics, 6
^{th}International Conference on Plasticity, July 14-18, 1997, Juneau, AK. - Aidun, J.B., V. Tikare, and R.M. Brannon (1997) Simulations of the shock response of porous PZT ferroelectric ceramic, Meeting of ASM and American Ceramic Society, Nov. 3, 1997, Albuquerque, NM.
- Tikare, V., J.B. Aidun, R.M. Brannon (1997) Numerical simulations of the stress response of porous isotropic and anisotropic materials under transient dynamic loading. Fall Meeting of Materials Research Society, July 1997.
- Tikare, V., J.B. Aidun, and R.M. Brannon (1997) Simulations of the stress response of a porous polycrystalline material under transient dynamic loading. Pacific Coast Meeting of the American Ceramic Society, Oct. 12-15, 1997, San Francisco, CA.

### 1996

- Brannon, R.M. and M.K. Wong (1996) MIG 0.0 Model Interface Guidelines: rules to accelerate installation of numerical models into any compliant code. Sandia National Laboratories Technical Report SAND96-2000.
- Brannon, R.M. and Wong, M.K. (1996) Rapid installation and maintenance of numerical models in multiple parent codes. Proceedings 14th U.S. Army Solid Mechanics Symposium, October 16-18 Myrtle Beach, SC. Ed. by Kailasam R. Iyer and Shun-chin Chou. Battelle press. 1996. ISBN: 1-574777-038-1 (invited).

### 1995

- Brannon, R.M., and L.C. Chhabildas (1995) Experimental and numerical investigation of shock-induced full vaporization of zinc,
*International Journal of Impact Engineering*17 (1-3), pp. 109-120 - Brannon, R.M., Drugan, W.J., and Shen Y. (1995) Requirements of thermodynamics in the analysis of elastic-plastic shock waves.
*J. Mech. Phys. Solids,*v. 43 #6, pp. 973-1001. - Brannon, R.M. and Chhabildas, L.C. (1995) Shock-induced vaporization of zinc. In: Shock Compression of Condensed Matter — 1995.
*Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter held at Seattle*, Washington, August 13-18, 1995, Ed: S. C. Schmidt and W.C. Tao, American Institute of Physics Press, pp 201-206. http://infoserve.sandia.gov/sand_doc/2001/010218a.pdf.

### 1994

- Trucano, T.G., L.C. Chhabildas, R.M. Brannon (1994) Would you bet your life on the results? (Reliability of code predictions beyond the testable regime), AIAA space programs and technologies conference and exhibit, Sept. 27-29, 1994, Huntsville, AL SAND94-0190A (invited).
- Chhabildas, L.C., D.A. Crawford, R.M. Brannon, G.I. Kerley, W.D. Reinhart, and C.A. Hall (1994) Time resolved measurements at impact velocities over 10 km/s, Hypervelocity Impact Symposium Proceedings, Oct. 16-19, 1994, Santa Fe, NM.

### 1993

- Brannon, R. M. and Drugan, W. J. (1993) Influence of nonclassical elastic-plastic constitutive features on shock wave existence and spectral solutions.
*J. Mech. Phys. Solids*, v. 41, No 2, pp. 297-330.

http://csm.mech.utah.edu/content/wp-content/uploads/2012/07/1993BrannonDrugan_InfluenceOfNonclassicalPlasticConstFeaturesOnShockWavesOCR.PDF