NiTi合金的相变-塑性统一本构模型与数值算法

为了准确描述NiTi形状记忆合金的相变与塑性力学行为,基于不可逆热力学理论框架并假定两个内变量分别表征合金变形过程中的相变与塑性行为,推导出其相变、塑性的主控方程,总结两阶段的主控方程,构建出NiTi合金动态加载过程中的相变-塑性统一本构模型。采用半隐式应力积分算法对非弹性应变增量进行更新,通过FORTRAN语言将所提出的宏观唯象本构模型进行了数值程序实现。对比模拟与实验结果验证了该本构模型的合理性,发现该模型能够准确描述NiTi合金随着载荷增加而出现的母相弹性、马氏体相变、马氏体弹性与马氏体塑性流动等不同变形阶段,对于不同应变率动态加载下的应力-应变行为该模型也可较理想地描述。...

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Bibliographic Details
Published in:	航空材料学报 Vol. 38; no. 1; pp. 26 - 32
Main Author:	李云飞;陈成;曾祥国
Format:	Journal Article
Language:	Chinese
Published:	中国工程物理研究院总体工程研究所,四川绵阳,621999%四川大学建筑与环境学院,成都,610065 01.02.2018
Subjects:	半隐式应力积分形状记忆合金本构模型相变-塑性行为 shape memory alloy 相变-塑性行为 semi-implicit stress integration algo-rithm 形状记忆合金本构模型 constitutive model 半隐式应力积分 phase transformation and plastic behavior
ISSN:	1005-5053
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Summary:	为了准确描述NiTi形状记忆合金的相变与塑性力学行为,基于不可逆热力学理论框架并假定两个内变量分别表征合金变形过程中的相变与塑性行为,推导出其相变、塑性的主控方程,总结两阶段的主控方程,构建出NiTi合金动态加载过程中的相变-塑性统一本构模型。采用半隐式应力积分算法对非弹性应变增量进行更新,通过FORTRAN语言将所提出的宏观唯象本构模型进行了数值程序实现。对比模拟与实验结果验证了该本构模型的合理性,发现该模型能够准确描述NiTi合金随着载荷增加而出现的母相弹性、马氏体相变、马氏体弹性与马氏体塑性流动等不同变形阶段,对于不同应变率动态加载下的应力-应变行为该模型也可较理想地描述。
Bibliography:	LI Yunfei1, CHEN Cheng2, ZENG Xiangguo2（1. Institute of Systems Engineering , China Academy of Engineering Physics , Mianyang 621999 , Sichuan , China; 2. College of Archi-tecture and Environment , Sichuan University , Chengdu 610065 , China） 11-3159/V In order to actually describe the mechanical behavior of phase transformation and plasticity for Ni Ti shape memory alloy（SMA）,the master equations which based on irreversible thermodynamics theory was derived by assuming two internal variables to characterize phase transformation evolution and plastic evolution. Thus a unified constitutive model was developed by summarizing master equations of phase transformation and plasticity in the loading process of Ni Ti alloy. Adopting semi-implicit stress integration algorithm to update inelastic strain increment,the phenomenological-based constitutive model was numerically implemented with FORTRAN code. The numerical simulation results were in good agreement with experimental data so that the proposed model validation w
ISSN:	1005-5053
DOI:	10.11868/j.issn.1005-5053.2017.000019