<p>The nonlinear large deformations of two-directional functionally graded circular plate reinforced with graphene platelets (GPL) under coupled thermo‑electro‑mechanical loadings are investigated. The GPL content in the plate varies continuously along both the thickness and radial directions following power‑law distributions. Consequently, the equivalent material properties, varying continuously in both directions, are estimated by the Halpin–Tsai model together with the rule of mixtures. The radially varying stiffness coefficients are rigorously obtained through integration. Then, considering von Kármán geometric nonlinearity, thermoelastic theory and piezoelectric effects, strongly nonlinear governing equations for large deflections of the plate under multi-physics coupling are established. The shooting method is employed to solve the equations and to acquire numerical results for deflections. Subsequently, effects of GPL mass fraction, distribution patterns, geometric size, applied load and voltage, as well as temperature difference on the maximum deflection are discussed. Results demonstrate that appropriate adjustment of these factors can effectively enhance structural stiffness and facilitate structural optimization. The outcomes offer a theoretical basis for design of high-performance two-directional gradient plates under complex multi-physics coupling conditions.</p>

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Thermo-electro-mechanical nonlinear axisymmetric large deformation of two-directional functionally graded circular plate reinforced with graphene platelets

  • Jinghua Zhang,
  • Yahong Zhang

摘要

The nonlinear large deformations of two-directional functionally graded circular plate reinforced with graphene platelets (GPL) under coupled thermo‑electro‑mechanical loadings are investigated. The GPL content in the plate varies continuously along both the thickness and radial directions following power‑law distributions. Consequently, the equivalent material properties, varying continuously in both directions, are estimated by the Halpin–Tsai model together with the rule of mixtures. The radially varying stiffness coefficients are rigorously obtained through integration. Then, considering von Kármán geometric nonlinearity, thermoelastic theory and piezoelectric effects, strongly nonlinear governing equations for large deflections of the plate under multi-physics coupling are established. The shooting method is employed to solve the equations and to acquire numerical results for deflections. Subsequently, effects of GPL mass fraction, distribution patterns, geometric size, applied load and voltage, as well as temperature difference on the maximum deflection are discussed. Results demonstrate that appropriate adjustment of these factors can effectively enhance structural stiffness and facilitate structural optimization. The outcomes offer a theoretical basis for design of high-performance two-directional gradient plates under complex multi-physics coupling conditions.