Shape-memory alloys: Macromodelling and numerical simulations of the superelastic behavior
Shape-memory alloys: Macromodelling and numerical simulations of the superelastic behavior
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DOI：
10.1016/s0045-7825(96)01232-7
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发表时间：
1997-07-15
影响因子：
7.2
通讯作者：
Lubliner, J
中科院分区：
文献类型：
--
作者：
Auricchio, F;Taylor, RL;Lubliner, J
形状记忆合金具有传统工程材料所不具备的特性，因此，它们是创新应用的基础。回顾现有文献发现，缺乏支持形状记忆合金器件设计过程的计算工具。一个主要的原因是传统的非弹性模型没有提供一个足够的框架来描述形状记忆材料的异常宏观行为，本文主要研究了一类新的基于内变量形式的广义塑性非弹性模型。本文采用广义塑性理论作为建立形状记忆材料一维和三维本构模型的框架。所提出的本构模型再现了形状记忆合金的一些基本特征，如超弹性、不同的材料拉伸和压缩行为以及单变量马氏体重取向过程。对于等温条件，详细讨论了模型在有限元格式中的实现和算法上一致的切线的形式。对形状记忆材料进行的典型试验(例如，单轴加载，四点弯曲和三点弯曲试验)，并与已有的实验数据进行了比较。从总体发展来看，所提出的方法为开发用于形状记忆合金器件模拟的有效计算工具提供了可行的基础。
Shape-memory alloys show features not present in materials traditionally used in engineering; as a consequence, they are the basis for innovative applications.A review of the available literature shows a dearth of computational tools to support the design process of shape-memory-alloy devices. A major reason is that conventional inelastic models do not provide an adequate framework for representing the unusual macrobehavior of shape-memory materials.The present work focuses on a new family of inelastic models, based on an internal-variable formalism and known as generalized plasticity. Generalized plasticity is adopted herein as framework for the development of one- and three-dimensional constitutive models for shape-memory materials.The proposed constitutive models reproduce some of the basic features of shape-memory alloys, such as superelasticity, different material behavior in tension and compression, and the single-variant-martensite reorientation process.For isothermal conditions the implementation of the model in a finite-element scheme and the form of the algorithmically consistent tangent are discussed in detail.Numerical simulations of typical tests performed on shape-memory materials (e.g. uniaxial Loading, four-point bending and three-point bending tests) are presented and compared with available experimental data.Based on the overall developments, it appears that the proposed approach is a viable basis for the development of an effective computational tool to be used in the simulation of shape-memory-alloy devices.