Modeling the behaviour of shape memory materials under large deformations

Winter School on Continuous Media Mechanics

Rogovoy, A.A.^1 ; Stolbova, O.S.^1

Institute of Continuous Media Mechanics, Ural Branch, Russian Academy of Sciences, Perm, Russia^1

关键词: Finite deformations;    Relaxation transitions;    Shape memory polymers;    Shape-memory materials;    Solid mechanics;    Systems of equations;    Variational equations;    Variational formulation;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/208/1/012036/pdf
DOI  :  10.1088/1757-899X/208/1/012036

来源: IOP

【 摘 要 】

In this study, the models describing the behavior of shape memory alloys, ferromagnetic materials and polymers have been constructed, using a formalized approach to develop the constitutive equations for complex media under large deformations. The kinematic and constitutive equations, satisfying the principles of thermodynamics and objectivity, have been derived. The application of the Galerkin procedure to the systems of equations of solid mechanics allowed us to obtain the Lagrange variational equation and variational formulation of the magnetostatics problems. These relations have been tested in the context of the problems of finite deformation in shape memory alloys and ferromagnetic materials during forward and reverse martensitic transformations and in shape memory polymers during forward and reverse relaxation transitions from a highly elastic to a glassy state.