Analysis of phase transformation from austenite to martensite in NiTi alloy strips under uniaxial tension  

作　　者：谢宇新 张义同 徐家福 

机构地区：[1]Department of Mechanics,Tianjin University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2007年第12期1651-1658,共8页应用数学和力学（英文版）

基　　金：the National Natural Science Foundation of China(No.10272079);the joint grant from the National Natural Science Foundation of China and the Royal Society

摘　　要：Phase transformation from austenite to martensite in NiTi alloy strips under the uniaxial tension has been observed in experiments and numerically simulated as a localized deformation. This work presents an analysis using the theory of phase transformation. The jump of deformation gradient across the interface between two phases and the Maxwell relation are considered. Governing equations for the phase transformation are derived. The analysis is reduced to finding the minimum value of the loading at which the governing equations have a unique, real and physically acceptable solution. The equations are solved numerically and it is verified that the unique solution exists definitely. The Maxwell stress, the stresses and strains inside both austenite and martensite phases, and the transformation-front orientation angle are determined to be in reasonably good agreement with experimental observations.Phase transformation from austenite to martensite in NiTi alloy strips under the uniaxial tension has been observed in experiments and numerically simulated as a localized deformation. This work presents an analysis using the theory of phase transformation. The jump of deformation gradient across the interface between two phases and the Maxwell relation are considered. Governing equations for the phase transformation are derived. The analysis is reduced to finding the minimum value of the loading at which the governing equations have a unique, real and physically acceptable solution. The equations are solved numerically and it is verified that the unique solution exists definitely. The Maxwell stress, the stresses and strains inside both austenite and martensite phases, and the transformation-front orientation angle are determined to be in reasonably good agreement with experimental observations.

关 键 词：stress-induced phase transformations Maxwell relation NiTi alloy austen-ite MARTENSITE 

分 类 号：O343.5[理学—固体力学]