Modified couple stress-based finite element model for analysis of partially supported 2D-FG sandwich microbeams with variable material length scale parameters

IF 2.5 2区数学 Q1 MATHEMATICS, APPLIED

Computers & Mathematics with Applications Pub Date : 2025-08-23 DOI:10.1016/j.camwa.2025.08.023

Van-Chinh Nguyen, Van-Ke Tran, Van-Vinh Pham

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引用次数: 0

Abstract

This article presents a comprehensive mechanical investigation of the functionally graded sandwich microbeams resting on a partial elastic foundation. The novelty of this study is that the length scale parameters are considered to vary through the transverse and longitudinal directions according to the variation of the individual material components. A novel finite element model based on higher-order shear deformation and modified couple stress theories is proposed to address this complex problem. Several comparisons are carried out to validate the accuracy and efficiency of the proposed algorithm. Besides, a completed parametric study is provided to demonstrate the effects of some parameters on the static bending, free vibration, and buckling behaviors of the two-dimensional functionally graded sandwich microbeams. The results of this study showed that the variation of length scale parameters and the characteristics of the partial elastic foundations play a significant role in the mechanical response of the microbeams. This phenomenon should be noticed in the testing, design, and optimization of similar microstructures in practical engineering.

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改进的耦合应力有限元模型用于变材料长度尺度参数的部分支承2D-FG夹层微梁分析

本文对部分弹性地基上的功能梯度夹层微梁进行了全面的力学研究。本研究的新颖之处在于，长度尺度参数被认为是根据单个材料成分的变化，通过横向和纵向方向变化。为了解决这一复杂问题，提出了一种基于高阶剪切变形和修正耦合应力理论的有限元模型。通过若干比较验证了所提算法的准确性和效率。此外，还对二维功能梯度夹层微梁的静态弯曲、自由振动和屈曲行为进行了完整的参数化研究。研究结果表明，长度尺度参数的变化和部分弹性基础的特性对微梁的力学响应有重要影响。在实际工程中对类似微结构进行测试、设计和优化时，应注意这一现象。

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

Computers & Mathematics with Applications 工程技术-计算机：跨学科应用

CiteScore

5.10

自引率

10.30%

发文量

396

审稿时长

9.9 weeks

期刊介绍： Computers & Mathematics with Applications provides a medium of exchange for those engaged in fields contributing to building successful simulations for science and engineering using Partial Differential Equations (PDEs).