AN EXPERIMENTALLY-FITTED THERMODYNAMICAL CONSTITUTIVE MODEL FOR POLYCRYSTALLINE SHAPE MEMORY ALLOYS

A phenomenological model for polycrystalline NiTi shape-memory alloys with a refined dissipation function is here enhanced by a thermomechanical coupling and rigorously analyzed as far as existence of weak solutions and numerical stability and convergence of the numerical approximation performed by a staggered time discretization. Moreover, the model is verified on one-dimensional computational simulations compared with real laboratory experiments on a NiTi wire.

Automated summary

This study enhances a phenomenological model for polycrystalline NiTi shape-memory alloys with refined dissipation function by incorporating thermomechanical coupling, and rigorously analyzes it in terms of weak solution existence, numerical stability, and convergence through staggered time discretization. The model is verified through one-dimensional computational simulations and compared with real laboratory experiments on a NiTi wire, demonstrating its validity.