形状记忆合金三维鼓包结构热变形的有限元模拟
Finite Element Simulation of Thermal Deformation of Shape Memory Alloy Three Dimensional Bump Structure
摘 要
基于Lagoudas唯象本构关系模型, 利用ABAQUS软件二次开发功能, 编写出可用于描述形状记忆合金(SMA)特性的UMAT材料子程序, 并对SMA三维鼓包结构的热力学特性进行了有限元分析。结果表明: 该子程序能够较好地描述SMA的超弹性和形状记忆效应特性; SMA三维鼓包结构能够产生较大的竖向挠度变形, 并且鼓包大部分区域完成了马氏体逆相变, 只在边界附近残留有部分马氏体相。
本构关系模型
有限元
shape memory alloy(SMA)
constitutive model
finite element
Abstract
The user material subroutine (UMAT) based on the Lagoudas model was compiled to describe its unique material features of the shape memory alloy (SMA) by using the redevelop technology of the ABAQUS software, and the finite element simulation of thermodynamic property of SMA bump structure was analyzed. The results show that the UMAT can accurately describe the features such as pseudoelasticity and shape memory effect; the bump can undergo large vertical deflection, and most of the area completed the martensitic reverse transformation while only the near of border remained martensite phase.
中图分类号 TB21
所属栏目 物理模拟与数值模拟
基金项目 国家自然科学基金重点资助项目(50830201); 长江学者和创新团队发展计划资助项目(IRT0968)
收稿日期 2012/12/22
修改稿日期 2013/11/15
网络出版日期
作者单位点击查看
备注赵澎涛(1985-), 男, 河北衡水人, 助理工程师, 硕士。
引用该论文: ZHAO Peng-tao,QIU Jin-hao,YU Hui-chen. Finite Element Simulation of Thermal Deformation of Shape Memory Alloy Three Dimensional Bump Structure[J]. Materials for mechancial engineering, 2014, 38(3): 96～101
赵澎涛,裘进浩,于慧臣. 形状记忆合金三维鼓包结构热变形的有限元模拟[J]. 机械工程材料, 2014, 38(3): 96～101
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参考文献
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【11】庄茁,张帆,岑松,等. ABAQUS 非线性有限元分析与实例［M］.北京:科学出版社,2005.
【12】LAGOUDAS D C, BO Z, QIDWAI M A. A unified thermodynamic constitutive model for SMA and finite element analysis of active metal matrix composite［J］.Mechanics of Composite Materials & Structures,1996,3:153-79.
【2】LAGOUDAS D C. Shape memory alloys: modeling and engineering applications［M］.New York: Springer,2008:1-43.
【3】GAO X, TURNER T L, BURTON D, et al. Finite element analysis of adaptive-stiffening and shape-control SMA hybrid composites［J］.Journal of Engineering Materials and Technology,2006,128(3):285-293.
【4】REY N, TILLMAN G, MILLER R, et al. Shape memory alloy actuation for a variable area fan nozzle ［C］// Proceedings of SPIE, Smart Structures and Materials: Industrial and Commercial Application of Smart Structures Technologies.［S.l.］:［s.n］,2001:371-382.
【5】徐祖耀, 江伯鸿. 形状记忆材料［M］.上海:上海交通大学出版社,2000:3-6.
【6】WILLIAMS K, CHIU G, BERNHARD R. Adaptive-passive absorbers using shape-memory alloys［J］.Journal of Sound and Vibration,2002,249(5):835-848.
【7】BO Z, LAGOUDAS D C. Thermomechanical modeling of polycrystalline SMAs under cyclic loading-Part I: theoretical derivations［J］.International Journal of Engineering Science,1999,37:1089-1140.
【8】QIDWAI M A, LAGOUDAS D C. On thermomechanics and transformation surfaces of polycrystalline NiTi shape memory alloy material［J］. International Journal of Plasticity,2000,16:1309-1343.
【9】TANAKA K, NISHIMURA F, HAYASHI T, et al. Phenomenological analysis on subloops and cyclic behavior in shape memory alloys under mechanical and/or thermal loads［J］. Mechanics of Materials,1995,19:281-92.
【10】LIANG C, ROGERS C A. The multi-dimensional constitutive relations of shape memory alloys［J］.Journal of Engineering Mathematics,1992,26:429-443.
【11】庄茁,张帆,岑松,等. ABAQUS 非线性有限元分析与实例［M］.北京:科学出版社,2005.
【12】LAGOUDAS D C, BO Z, QIDWAI M A. A unified thermodynamic constitutive model for SMA and finite element analysis of active metal matrix composite［J］.Mechanics of Composite Materials & Structures,1996,3:153-79.
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