Abstract

A novel refined arctangent exponential shear deformation theory (RAESDT) is presented for analysis the mechanical behavior of both isotropic and sandwich FGM plates. Material properties are set to be isotropic at each point and varied across the thickness direction obeying to a power-law distribution of the volume fraction gradation with respect to FGM core or skins of the plate. Unlike high-order shear deformation plate theories based on five or more variables, the displacement field of the novel RAESDT using arctangent exponential variations in planed displacements were approximated by only four unknowns, satisfying naturally tangential stress-free conditions at the plate surfaces and leading to reduce computational efforts. In accordance with RAESDT and enhanced moving kriging interpolation (EMKI)-based meshfree method with a new quadrature correlation function is introduced for the numerical modeling. Numerical validations with different plate configurations, geometries, length to thickness ratios and boundaries conditions are conducted. The obtained results are compared with the corresponding solutions available in the literature showing the accuracy and efficiency of the present approach.

摘要

提出了一种新颖的精细反正切指数剪切变形理论（RAESDT），用于分析各向同性和夹层FGM板的力学性能。将材料特性在每个点设置为各向同性，并在厚度方向上变化，遵循相对于FGM板或蒙皮的体积分数渐变的幂律分布。与基于五个或多个变量的高阶剪切变形板理论不同，使用平面位移的反正切指数变化的新型RAESDT位移场仅由四个未知数近似，满足了板表面自然无切向应力的条件，并导致减少计算量。根据RAESDT和基于增强移动克里格插值法（EMKI）的无网格方法，引入了一种新的正交相关函数，用于数值建模。进行了不同板配置，几何形状，长厚比和边界条件的数值验证。将获得的结果与文献中可用的相应解决方案进行比较，这些解决方案表明了本方法的准确性和效率。