| Analysis of phase transformation from austenite to martensite in NiTi alloy strips under uniaxial tension |
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| 作者姓名： | 谢宇新 张义同 徐家福 |
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| 作者单位： | Department of Mechanics Tianjin University，Department of Mechanics，Tianjin University，Department of Mechanics，Tianjin University，Tianjin 300072，P.R.China，Tianjin 300072，P.R.China，Tianjin 300072，P.R.China |
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| 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 transfor- mation.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 equa- tions are solved numerically and it is verified that the unique solution exists definitely. The Maxwell stress,the stresses and strains inside both anstenite and martensite phases, and the transformation-front orientation angle are determined to be in reasonably good agreement with experimental observations.
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| 关 键 词： | 镍钛合金 奥氏体 马氏体 拉伸张力 相位转换 |
| 收稿时间： | 23 March 2006 |
Analysis of phase transformation from austenite to martensite in NiTi alloy strips under uniaxial tension |
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| Xie Yu-xin,Zhang Yi-tong,Xu Jia-fu.Analysis of phase transformation from austenite to martensite in NiTi alloy strips under uniaxial tension[J].Applied Mathematics and Mechanics(English Edition),2007,28(12):1651-1658. |
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| Authors: | Xie Yu-xin Zhang Yi-tong Xu Jia-fu |
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| Institution: | Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China |
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| Abstract: | 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 transfor- mation.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 equa- tions are solved numerically and it is verified that the unique solution exists definitely. The Maxwell stress,the stresses and strains inside both anstenite and martensite phases, and the transformation-front orientation angle are determined to be in reasonably good agreement with experimental observations. |
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| Keywords: | stress-induced phase transformations Maxwell relation NiTi alloy austenite martensite |
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