Nonlinear Finite Element Method Considering Martensite Plasticity for Shape Memory Alloy Structure

doi:10.1007/s12204-021-2327-z

Abstract

Abstract: This work presents a nonlinear finite element method to simulate the macroscopic mechanical responsesand the effects of martensite plasticity in a shape memory alloy (SMA) structure. A linear relationshipformulation is adopted to express the influence of martensite plasticity on the inverse martensitic phase transitionof SMA material. Incorporating with a trigonometric-type phase transition evolution law and an exponential-typeplastic flow evolution law, an incremental mechanical model with two internal variables is supposed based onthe macroscopic experimental phenomena. A nonlinear finite element equation is formulated and solved by theprinciple of virtual displacement and Newton-Raphson method respectively. By employing the proposed nonlinearfinite element method, the uniform tensile bar and three-point bending beam are simulated and analyzed. Resultsillustrate that the presented nonlinear finite element method is suitable to act as an effective computational toolfor the wide applications based on the SMA material considering the effects of martensite plasticity because allmaterial constants related to the method can be obtained from macroscopic experiments.

Key words: shape memory alloy (SMA) structure, martensite plasticity, incremental mechanical model, nonlinearfinite element method

CLC Number:

TG 139.6

ZHOU Bo∗ (周博), KANG Zetian (康泽天), WANG Zhiyong (王志勇), XUE Shifeng (薛世峰). Nonlinear Finite Element Method Considering Martensite Plasticity for Shape Memory Alloy Structure[J]. J Shanghai Jiaotong Univ Sci, 2021, 26(6): 774-785.

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