A macroscopic model for magnetic shape-memory single crystals

作者：Bessoud Anne Laure^*; Kruzik Martin; Stefanelli Ulisse

来源：Zeitschrift fur Angewandte Mathematik und Physik, 2013, 64(2): 343-359.

DOI：10.1007/s00033-012-0223-y

• Magnetic shape-memory alloys
• Micro-magnetism
• Energetic solution
• Existence
• Gamma-convergence for rate-independent processes

A rate-independent model for the quasi-static magneto-elastic evolution of a magnetic shape-memory single crystal is presented. In particular, the purely mechanical Souza-Auricchio model for shape-memory alloys is here combined with classical micro-magnetism by suitably associating magnetization and inelastic strain. By balancing the effect of conservative and dissipative actions, a nonlinear evolution PDE system of rate-independent type is obtained. We prove the existence of so-called energetic solutions to this system. Moreover, we discuss several limits for the model corresponding to parameter asymptotics by means of a rigorous I%26quot;-convergence argument.

• 出版日期2013-4