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<p>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.</p>

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

  • 期刊论文

  • 发表日期：

    2026年4月9日

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  • Aastha Tanwar,
  • Rashmi Rani

摘要

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.