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论文摘要

基于不可逆热力学的形状记忆合金相变塑性统一本构模型研究

Unified Constitutive Model for Phase Transformation and Plastic Behavior of Shape Memory Alloy Based on the Irreversible Thermodynamics

作者:陈华燕(四川大学建筑与环境学院);陈成(四川大学建筑与环境学院);曾祥国(四川大学建筑与环境学院);陈军(北京应用物理与计算数学研究所);郭杨(四川大学建筑与环境学院)

Author:CHEN Huayan(CollegeofArchitectureandEnvironment,SichuanUniv.);CHEN Cheng(CollegeofArchitectureandEnvironment,SichuanUniv.);ZENG Xiangguo(CollegeofArchitectureandEnvironment,SichuanUniv.);CHEN Jun(Inst.ofAppliedPhysicsandComputationalMathematics);GUO Yang(CollegeofArchitectureandEnvironment,SichuanUniv.)

收稿日期:2015-08-25          年卷(期)页码:2016,48(2):219-224

期刊名称:工程科学与技术

Journal Name:Advanced Engineering Sciences

关键字:不可逆热力学;相变演化;塑性演化;形状记忆合金;唯象本构模型

Key words:irreversiblethermodynamics;phasetransformationevolution;plasticevolution;shapememoryalloy;phenomenologicalconstitutivemodel

基金项目:国家自然科学基金资助项目(U1430119)

中文摘要

为获得能够描述形状记忆NiTi合金相变和塑性行为的本构关系,基于不可逆热力学,假设2个内变量,分别推导了相变演化规律和塑性演化规律,以及NiTi合金本构模型的主控方程;将导出的本构方程写成1维的增量形式,编制Fortran程序,并将本构模型进行了程序实现;结合单轴加载的试验曲线、非线性拟合的方法确定该本构模型的相关参数;比较试验结果,验证了该本构模型的合理性。该模型能很好地描述随着载荷不断增加,NiTi合金表现出的母相弹性、马氏体相变、马氏体弹性及马氏体塑性流动行为;同时,对于应变率效应也能够较为理想地描述;所建立的宏观唯象本构模型,参数易确定,为NiTi合金在更加苛刻、极端环境下的工程应用奠定基础。

英文摘要

In order to develop a constitutive relation which is able to describe the phase transition and the plasticity behavior of NiTi alloy,based on the irreversible thermodynamics,two internal variables were assumed to characterize the phase transformation evolution and the plastic evolution respectively,then a master equation was derived.Rewritten in one dimension incremental form,the constitutive model was program implemented with Fortran code,in which the parameters were determined in combining with the uniaxial experiment and the nonlinear fitting.The model validation was carried out by comparing the predicted results with five uniaxial tesile tests under different strain rates,and the results showed that the proposed phenomenological constitutive model can not only describe very well the phenomenon of parent phase transformation and martensite plastic yield, but also the strain rate effect.

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