In this research, nonlinear thermal buckling and post-buckling behaviors of composite plate with the circular/elliptical cut-out are investigated using particle semi-energy (PSE) method. The semi-energy method is based on the solution of compatibility equation via an Airy force function and out-of-plane displacement function. The unknown parameters of these functions are determined by minimizing the potential energy. The integral of potential energy are replaced with summation of particles energy at perforated plate. The cut-out is modeled easily using these particles. The advantages of this method are easily cut-out modeling by particles and proposing just one of the displacement fields (i.e. out-of-plane). Based on the results, there is a good agreement (1.25%) between the post-buckling loads derived from PSE of this paper and experimental test of other literature. The accuracy of the finite element method (FEM) is 7.5% with respect to experimental test. The influences of temperature distribution, the cut-out size and elliptical cut-out rotating on post-buckling load and deflection of perforated plate are investigated.

中文翻译：

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用粒子半能法分析含有椭圆切口的复合板的热后屈曲

在这项研究中，使用粒子半能（PSE）方法研究了具有圆形/椭圆形切口的复合板的非线性热屈曲和后屈曲行为。半能量法基于通过艾里力函数和面外位移函数求解相容方程。这些函数的未知参数是通过最小化势能来确定的。势能积分被穿孔板上的粒子能量总和取代。使用这些粒子可以轻松地对切口进行建模。这种方法的优点是可以很容易地通过粒子进行建模，并且只提出一个位移场（即平面外）。根据结果​​，有很好的一致性（1。25%）在本文 PSE 得出的后屈曲载荷与其他文献的实验测试之间。相对于实验测试，有限元法 (FEM) 的准确度为 7.5%。研究了温度分布、开孔尺寸和椭圆开孔旋转对穿孔板后屈曲载荷和挠度的影响。