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首页> 外文期刊>Composite Structures >Post-buckling and large-deflection analysis of a sandwich FG plate with FG porous core using Carrera's Unified Formulation
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Post-buckling and large-deflection analysis of a sandwich FG plate with FG porous core using Carrera's Unified Formulation

机译：用Carrera统一配方与FG多孔芯的夹层FG板的后屈曲和大偏转分析

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摘要

In this study, the unified formulation of a full geometrically nonlinear refined plate theory in a total Lagrangian approach is developed to study the post-buckling and large-deflection analysis of sandwich functionally graded (FG) plate with FG porous (FGP) core. The plate has three layers so that the upper and lower layers are FG and the middle layer (core) is the FGP, which is considered with four cases in terms of the porosity core distribution. The different two-dimensional (2D) plate structures kinematics are consistently implemented based on the Carrera's Unified Formulation (CUF) by means of an index notation and an arbitrary expansion function of the generalized variables in the thickness direction, leading to lower- to higher-order plate models with only pure displacement variables. Furthermore, a finite element approximation and the principle of virtual work are used to easily and straightforwardly formulate the nonlinear governing equations in a total Lagrangian manner, whereas a path-following Newton-Raphson linearization scheme based on the arc-length constraint is utilized to solve the full geometrically nonlinear problem. Numerical assessments are finally conducted to confirm the capabilities of the proposed CUF plate model to predict the post-buckling and large-deflection equilibrium curves with high accuracy.
机译：在这项研究中，开发了在总拉格朗日方法中进行全几何非线性精炼板理论的统一制定，研究了用FG多孔（FGP）芯的夹层功能梯度（FG）板的后屈曲和大偏转分析。板具有三层，使得上层和下层是FG，中间层（核心）是FGP，其在孔隙芯分布方面被认为是四种情况。通过指数符号和厚度方向上的广义变量的任意扩展函数，基于Carrera的统一配方（CUF）始终基于Carrera的统一配方（CUF）来始终实施不同的二维（2D）板结构运动学。订购板型号仅具有纯位移变量。此外，有限元近似和虚拟工作的原理用于容易和直接地制定总拉格朗日方式的非线性控制方程，而基于弧长约束的路径跟踪牛顿 - 拉文线性化方案用于解决完整的几何非线性问题。最终进行数值评估以确认所提出的CUF板模型的能力，以预测高精度的屈曲和大偏转平衡曲线。

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