Homogenized Energy Model for SMA

The main file for the homogenized model developed in Section 5.5 is

  sma_model_demo.m

In its present form, the input is varying stress and temperature
without Joule heating.  Details regarding the algorithms can be
found in the citations [321,323] of the text.  The code requires 
the following files:

Top Level Files
  polycryst.m - main file for homogenized model
  matparam.m - initializes 19 material parameters
  comparam.m - assigns 12 computed parameters

Auxiliary Files
  gnodes.m - composite 4-pt Gauss-Legendre quadrature nodes
  gweights.m - 4-pt Gauss-Legendre quadrature weights
  input_J.m - Joule heating input
  input_sigma.m - stress input
  input_Te.m - external temperature input
  sawtooth.m - sawtooth stress/temperature input
  mepsv.m - compute strain averages (vectorized)
  pFuns.m - compute transformation likelihoods
  phase_ini.m - compute initial phase fractions
  plotFun.m - adaptive plotting function
  polyFun.m - compute local (single crystal) quantities for homgenization
  rateODE.m - phase fraction rate law
  sigAfun.m - compute transformation stresses
  sigAfunv.m - compute transformation stresses (vectorized)
  Tsig.m - compute stress-dependent transformation temperatures