The effect of porosity and thermal environment on buckling responses for the sandwich plates with different boundary conditions is analyzed and discussed in the present study. The author’s recently developed sandwich plate using a new modified sigmoid function based functionally graded material (S-FGM) plate of different symmetric and asymmetric configurations is considered. A new temperature distribution through the thickness based on modified sigmoid law is proposed in which temperature is assumed to be conducted in the thickness direction. Three different types of porosity are considered viz. even, uneven but symmetric and uneven but non-symmetric. A new uneven non-symmetric porosity model is used in which micro-voids are varied in accordance with material property variation in the thickness direction to capture the accurate distribution of voids on the plate. The principle of virtual work is employed to derive equilibrium equations. An exact solution is obtained using the assumed solution with shape functions satisfying the edge boundary conditions. This is implemented using Galerkin Vlasov’s method. The analysis has been performed to study the effect of porosity, geometric configurations, inhomogeneity parameter, and foundation parameter. It is observed that the elastic foundation parameters have the least effect on non-symmetric plate configuration subjected to nonlinear temperature distribution in comparison to other symmetric and non-symmetric plate configurations and temperature distribution. Besides, the non-symmetric plate configuration possesses maximum thermal buckling temperature in comparison to a symmetric configuration. The volume fraction exponent with value 2 is observed as a changeover point where the effect of porosity distribution is null and void for 2-1-1 plate configuration irrespective of boundary conditions. The calculated outcomes and interpretations can be useful as a validation study for the imminent investigation of sandwich S-FGM plates having porosities in the thermal environment.

在本研究中分析并讨论了孔隙度和热环境对夹层板在不同边界条件下的屈曲响应的影响。考虑了作者最近开发的夹心板，该夹心板使用了一种新的基于S形函数的改良的，基于S-FGM的，具有不同对称和不对称构型的材料。提出了基于修正的S形定律的整个厚度的新温度分布，其中假设温度沿厚度方向进行。三种不同类型的孔隙率被认为是。甚至不均匀但对称，不均匀但不对称。使用了一种新的不均匀非对称孔隙率模型，其中，微孔隙根据厚度方向上的材料特性变化而变化，以捕获孔隙在板上的准确分布。虚拟工作原理被用于导出平衡方程。使用具有满足边缘边界条件的形状函数的假定解，可以获得精确解。这是使用Galerkin Vlasov的方法实现的。已经进行了分析以研究孔隙率，几何构型，不均匀性参数和地基参数的影响。可以看出，与其他对称和非对称板的形状和温度分布相比，弹性地基参数对经受非线性温度分布的非对称板的形状影响最小。此外，与对称构造相比，非对称板构造具有最大的热屈曲温度。观察到具有值为2的体积分数指数作为转换点，在该转换点处，孔隙率分布的影响对于2-1-1板构造无效，而与边界条件无关。计算得出的结果和解释可以用作对即将在热环境中具有孔隙的夹层S-FGM板进行研究的验证研究。与对称构造相比，非对称板构造具有最大的热屈曲温度。观察到具有值为2的体积分数指数作为转换点，在该转换点处，孔隙率分布的影响对于2-1-1板构造无效，而与边界条件无关。计算得出的结果和解释可以用作对即将在热环境中具有孔隙的夹层S-FGM板进行研究的验证研究。与对称构造相比，非对称板构造具有最大的热屈曲温度。观察到具有值为2的体积分数指数作为转换点，在该转换点处，孔隙率分布的影响对于2-1-1板构造无效，而与边界条件无关。计算得出的结果和解释可以用作对即将在热环境中具有孔隙的夹层S-FGM板进行研究的验证研究。