Utilization of Mathematical Model to Understand Martensitic Transformation in Ferromagnetic Shape Memory Alloys

Abstract

Ferromagnetic Shape Memory Alloys (FSMAs) are the highly demanding material for engineering application. It has the ability to return to a predetermined shape by application of thermal field or magnetic field. The key characteristic of Shape Memory Alloys are the occurrence of a martensitic phase transformation which is a phase change between two solid phases and involves rearrangement of atoms within the crystal lattice. In this article, the basic phenomena and concepts of martensitic transformation along phase changes in FSMAs are presented through mathematical models. The implementation of mathematical calculations of FSMAs in to engineering applications are impeded by the absence of a theory that would allow to complete the thermo-mechanical characteristics of polycrystalline and can be effectively adapted to the analysis of SMAs dynamics as well as to other problems on structural phase transition. Shape recovery by thermal and magnetic field and the role of twin boundary symmetry are briefly reviewed. This paper formulates the initial and boundary conditions for evaluation of result of the system are considered.