内、外压力作用下多孔SMA厚壁圆柱体伪弹性响应的显式建模

IF 2.9 3区 工程技术 Q2 MECHANICS International Journal of Applied Mechanics Pub Date : 2023-11-08 DOI:10.1142/s1758825124500145
Nahid Enteshari, Seyed Ahmad Tajalli
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引用次数: 0

摘要

形状记忆合金(SMA)具有致密或多孔的结构,由于其形状记忆效应和伪弹性所产生的功能特性而被广泛应用。因此,由于设计问题,这些材料的精确建模是必不可少的。本文研究了基于显式现象学本构模型的求解算法。该方法是根据返回映射格式提取的,以找出这些结构的相变演化。通过将加载、卸载和热致动期间的单轴拉伸-压缩曲线与已发表的文献进行比较,验证了该公式。利用该模型,在假定弹性应变和相变应变的情况下,对内外加压厚壁圆筒沿厚度方向的应力场、应变场和位移场进行了全面的研究。为此,采用有效的广义微分正交法(GDQ)对弹性-非弹性区域的控制非线性方程进行离散,并对结果关系进行数值求解。讨论了不同温度下,包括相变和饱和状态下,内外压力对加载-卸载过程中沿气缸壁应力分布的影响。研究了相变开始时临界压力的闭式解。
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An explicit modeling for the pseudoelastic response of porous SMA thick-walled cylinders under internal and external pressure
Shape-memory alloy (SMA) structures, either dense or porous, are widely used because of their functional characteristics arising from shape-memory effect and pseudoelasticity. Hence, the precise modeling of these materials is essential due to design issues. In this study, the solution algorithm based on an explicit phenomenological constitutive model is investigated to analyze pressurized cylinders. The proposed method is extracted following return mapping scheme to find the evolution of phase transformation in these structures. The formulation is validated by comparing uniaxial tension–compression curves during loading, unloading and thermal actuation against published literature. By the aid of this model, assuming elastic and phase transformation strains, a comprehensive study is presented to inspect stress, strain and displacement fields along the thickness of internally and externally pressurized thick-walled cylinders. To this end, the governing nonlinear equation in elastic–inelastic zones is discretized by the efficient method of generalized differential quadrature (GDQ) and the resultant relations are solved numerically. The influences of internal and external pressure on stress distribution along the cylinder wall during loading–unloading for different temperatures including phase transformation and saturation states are discussed. Also, the closed-form solution for critical pressure at the onset of the phase transformation is studied.
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来源期刊
CiteScore
5.80
自引率
11.40%
发文量
116
审稿时长
3 months
期刊介绍: The journal has as its objective the publication and wide electronic dissemination of innovative and consequential research in applied mechanics. IJAM welcomes high-quality original research papers in all aspects of applied mechanics from contributors throughout the world. The journal aims to promote the international exchange of new knowledge and recent development information in all aspects of applied mechanics. In addition to covering the classical branches of applied mechanics, namely solid mechanics, fluid mechanics, thermodynamics, and material science, the journal also encourages contributions from newly emerging areas such as biomechanics, electromechanics, the mechanical behavior of advanced materials, nanomechanics, and many other inter-disciplinary research areas in which the concepts of applied mechanics are extensively applied and developed.
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