Effective response and microstructure evolution for shape memory alloy laminated composites

IF 2.8 3区工程技术 Q2 MECHANICS

International Journal of Non-Linear Mechanics Pub Date : 2024-07-14 DOI:10.1016/j.ijnonlinmec.2024.104830

Amir Hossein Tavakoli , Taha Goudarzi , Mohammad Javad Ashrafi

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引用次数: 0

Abstract

A model for the macroscopic mechanical behavior of rank-1 laminates including two shape memory alloy (SMA) phases is presented. The model expresses the general behavior of the composite with phases undergoing rate-independent elastic and inelastic deformations. Homogenization techniques (including the rank-1 laminate model) are used to establish the effective behavior of the SMA laminated composite (SLC) based on the information about the mechanical response of the individual phases and their volume concentrations. A stress-control algorithm is put forward to implement the model. With the aid of the stress-control algorithm, an implicit expression for the effective tangent stiffness and an evolution equation for the effective inelastic strain are derived. Results are compared with the outcomes of an FE-based computational homogenization and a very good agreement is seen. By using a constitutive model with internal variables for the dense SMA, the overall response of the SLC under different mechanical loadings is evaluated. The effective response of the SLC for various volume concentrations of the phases is assessed and exclusive comparisons are illustrated. Furthermore, the influence of different temperatures on the effective superelastic behavior of the SLCs is studied. The findings have implications for the analysis and the design of more complex shape-memory-alloy laminated composites for high-end applications.

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形状记忆合金层状复合材料的有效响应和微观结构演变

本文介绍了包含两个形状记忆合金（SMA）相的 1 级层压板的宏观力学行为模型。该模型表示了复合材料的一般行为，各相发生了与速率无关的弹性和非弹性变形。均质化技术（包括秩-1 层压模型）用于根据各相的机械响应及其体积浓度信息确定 SMA 层压复合材料 (SLC) 的有效行为。为实现该模型，提出了一种应力控制算法。借助应力控制算法，得出了有效切线刚度的隐式表达式和有效非弹性应变的演化方程。将结果与基于 FE 的计算均质化结果进行了比较，结果显示两者非常吻合。通过使用具有内部变量的致密 SMA 构成模型，评估了 SLC 在不同机械载荷下的整体响应。评估了 SLC 在不同相的体积浓度下的有效响应，并进行了排他性比较。此外，还研究了不同温度对 SLC 有效超弹性行为的影响。研究结果对分析和设计用于高端应用的更复杂的形状记忆合金层压复合材料具有重要意义。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Non-Linear Mechanics 物理-力学

CiteScore

5.50

自引率

9.40%

发文量

192

审稿时长

67 days

期刊介绍： The International Journal of Non-Linear Mechanics provides a specific medium for dissemination of high-quality research results in the various areas of theoretical, applied, and experimental mechanics of solids, fluids, structures, and systems where the phenomena are inherently non-linear. The journal brings together original results in non-linear problems in elasticity, plasticity, dynamics, vibrations, wave-propagation, rheology, fluid-structure interaction systems, stability, biomechanics, micro- and nano-structures, materials, metamaterials, and in other diverse areas. Papers may be analytical, computational or experimental in nature. Treatments of non-linear differential equations wherein solutions and properties of solutions are emphasized but physical aspects are not adequately relevant, will not be considered for possible publication. Both deterministic and stochastic approaches are fostered. Contributions pertaining to both established and emerging fields are encouraged.