Size-dependent finite element analysis of FGMs in thermal environment based on the modified couple stress theory

IF 1.5 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Engineering Computations Pub Date : 2024-06-04 DOI:10.1108/ec-10-2023-0666
Songhao Wang, Zhenghua Qian, Yan Shang
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Abstract

Purpose

The paper aims to the size-dependent analysis of functionally graded materials in thermal environment based on the modified couple stress theory using finite element method.

Design/methodology/approach

The element formulation is developed within the framework of the penalty unsymmetric finite element method (FEM) in that the C1 continuity requirement is satisfied in weak sense and thus, C0 continuous interpolation enhanced by independent nodal rotation is employed as the test function. Meanwhile, the trial function is designed based on the stress functions and the weighted residual method. Besides, the special Gauss quadrature scheme is employed for integrals of matrices in accordance with the graded variation of the material properties.

Findings

The numerical results reveal that in thermal environment, functionally graded materials exhibit better bending performance compared to homogeneous materials, Moreover, the findings also indicate that with an increase in MLSP, the natural frequencies of out-of-plane modes gradually increase, while the natural frequencies of in-plane modes show much less variation, leading to a mode switch phenomenon.

Originality/value

The work provides an efficient numerical tool for analyzing and designing the functionally graded structures in thermal environment in practical engineering applications.

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基于修正耦合应力理论的热环境中取决于尺寸的 FGM 有限元分析
设计/方法/途径 在罚非对称有限元法(FEM)的框架内开发了元素配方,在弱意义上满足 C1 连续性要求,因此采用独立节点旋转增强的 C0 连续插值作为试验函数。同时,试验函数是根据应力函数和加权残差法设计的。数值结果表明,在热环境下,与均质材料相比,功能分级材料表现出更好的弯曲性能。此外,研究结果还表明,随着 MLSP 的增加,平面外模态的固有频率逐渐增加,而平面内模态的固有频率变化较小,从而导致模态切换现象。原创性/价值这项研究为实际工程应用中热环境下功能分级结构的分析和设计提供了有效的数值工具。
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来源期刊
Engineering Computations
Engineering Computations 工程技术-工程:综合
CiteScore
3.40
自引率
6.20%
发文量
61
审稿时长
5 months
期刊介绍: The journal presents its readers with broad coverage across all branches of engineering and science of the latest development and application of new solution algorithms, innovative numerical methods and/or solution techniques directed at the utilization of computational methods in engineering analysis, engineering design and practice. For more information visit: http://www.emeraldgrouppublishing.com/ec.htm
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