Publication: Conjugate stress and strain caveats /w distortion and deformation distinction

The publication, “Caveats concerning conjugate stress and strain measures (click to download)” contains an analytical solution for the stress in a fiber reinforced composite in the limit as the matrix material goes to zero stiffness. Because the solution is exact for arbitrarily large deformations, it is a great test case for verification of anisotropic elasticity codes, and it nicely illustrates several subtle concepts in large-deformation continuum mechanics.

 

Also see related viewgraphs entitled “The distinction between large distortion and large deformation.”

Tutorial: the thermoelastic square

A very kewl mnemonic device for recalling thermodynamic identities (the Gibbsian relations, the Maxwell relations, the contact or Legendre transformations, etc.) I am working on a new version of this document that will clarify why property definitions for solids do NOT, in general, reduce to those for fluids when the tensors are isotropic. Stay tuned…

You may download the rest of the document here.

Resource and Tutorial: thermostatics derivative simplification tables

When studying thermodynamics, do you feel lost in an alphabet soup of too many derivatives? Do you take a “random walk” through various identities hoping to stumble upon the right answer? If so, then this document will help! It describes a systematic way to express any thermostatics derivative in terms of fundamental thermodynamic state variables (pressure, temperature, entropy, and specific volume) and basic material properties such as specific heat, bulk modulus, thermal expansion coefficient, Gruneisen’s parameter, etc.

You may download the rest of the document here.