Constitutive equations for simulations of thermo-mechanical processes,involving solid-solid phase transformations are derived.The rate of phase transformation is assumed to depend on temperature as well as stress state.The constitutive equations comprise latent heat of transformation,transformation dilatation and transformation induced plasticity.Consistent moduli are derived for finite time steps.The constitutive equations are implemented in a finite element model,which has displacements and heat flows as primary variables.The temperatures,phase fractions,stresses and equivalent strains are treated as state variables and are evaluated in element integration points.The model is demonstrated on simulations of laser hardening.
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