Due to the effects of pseudoelasticity and pseudoplasticity, shape memory alloys are very promising materials whose industrial usage has lagged behind its potential. The reason for that is the functional degradation during cyclic loading - more precisely the effect of functional fatigue which occurs during pseudoelastic loading. As presented in detail in [1], the effect is modeled by subdividing the diffusionless solid/solid phase transformation into a reversible and an irreversible process which is an experimentally motivated ansatz for the modeling of the complex material behavior. Thus, we consider a reversible and an irreversible volume fraction for the austenitic and several martensitic phases. To consider the material's polycrystalline structure and thus differently oriented grains, we use an orientation distribution function which depends on three Euler angles and affects a high numerical efficiency as presented in [2], In addition to the calculations on the material point level, we transfer the material model on a higher level by use of the finite element method, see also [3],
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