DQM for axisymmetric thermal buckling of 2D-FGM circular plates with variable thickness resting on a two-parameter elastic foundation

IF 4.7 3区材料科学 Q2 ENGINEERING, MECHANICAL

International Journal of Mechanics and Materials in Design Pub Date : 2026-04-09 DOI:10.1007/s10999-026-09904-6

Aastha Tanwar, Rashmi Rani

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Abstract

In this article, the thermal buckling analysis of two-directional functionally graded material (2D-FGM) non-uniform circular plates, exposed to uniform, linear, and nonlinear thermal environments, is presented. The plate is assumed to rest on a two-parameter elastic foundation. The material properties are graded following a power law and an exponential law in the transverse and radial directions, respectively. The governing equations are derived based on the first-order shear deformation theory (FSDT) using von Kármán geometric nonlinearity. The differential quadrature method (DQM) is employed to discretize the resulting governing equations for clamped and simply supported plates. The resulting system is solved using MATLAB, and the lowest root obtained is reported as the critical buckling temperature difference. The influence of various plate parameters, including foundation stiffness, thickness variation, and material gradation, on thermal buckling behavior under different boundary conditions is analyzed. The results are validated through comparison with published work, demonstrating excellent agreement. The three-dimensional buckling mode shapes for the specified plates are plotted.

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双参数弹性地基上变厚度2D-FGM圆板轴对称热屈曲的DQM

本文介绍了在均匀、线性和非线性热环境下，双向功能梯度材料（2D-FGM）非均匀圆形板的热屈曲分析。假定板位于双参数弹性基础上。材料的性能在横向和径向上分别服从幂律和指数律。基于一阶剪切变形理论（FSDT），利用von Kármán几何非线性推导了控制方程。采用微分正交法（DQM）对夹紧板和简支板的控制方程进行离散化。利用MATLAB对系统进行求解，得到的最小根作为临界屈曲温度差。分析了基础刚度、厚度变化和材料级配等不同板参数对不同边界条件下热屈曲行为的影响。通过与已发表文献的比较，验证了所得结果的一致性。绘制了指定板的三维屈曲模态振型。

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 Mechanics and Materials in Design ENGINEERING, MECHANICAL-MATERIALS SCIENCE, MULTIDISCIPLINARY

CiteScore

6.00

自引率

5.40%

发文量

审稿时长

>12 weeks

期刊介绍： It is the objective of this journal to provide an effective medium for the dissemination of recent advances and original works in mechanics and materials'' engineering and their impact on the design process in an integrated, highly focused and coherent format. The goal is to enable mechanical, aeronautical, civil, automotive, biomedical, chemical and nuclear engineers, researchers and scientists to keep abreast of recent developments and exchange ideas on a number of topics relating to the use of mechanics and materials in design. Analytical synopsis of contents: The following non-exhaustive list is considered to be within the scope of the International Journal of Mechanics and Materials in Design: Intelligent Design: Nano-engineering and Nano-science in Design; Smart Materials and Adaptive Structures in Design; Mechanism(s) Design; Design against Failure; Design for Manufacturing; Design of Ultralight Structures; Design for a Clean Environment; Impact and Crashworthiness; Microelectronic Packaging Systems. Advanced Materials in Design: Newly Engineered Materials; Smart Materials and Adaptive Structures; Micromechanical Modelling of Composites; Damage Characterisation of Advanced/Traditional Materials; Alternative Use of Traditional Materials in Design; Functionally Graded Materials; Failure Analysis: Fatigue and Fracture; Multiscale Modelling Concepts and Methodology; Interfaces, interfacial properties and characterisation. Design Analysis and Optimisation: Shape and Topology Optimisation; Structural Optimisation; Optimisation Algorithms in Design; Nonlinear Mechanics in Design; Novel Numerical Tools in Design; Geometric Modelling and CAD Tools in Design; FEM, BEM and Hybrid Methods; Integrated Computer Aided Design; Computational Failure Analysis; Coupled Thermo-Electro-Mechanical Designs.