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首页> 外文期刊>International journal of mechanics and materials in design >Thermal buckling of porous symmetric and non-symmetric sandwich plate with homogenous core and S-FGM face sheets resting on Pasternak foundation
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Thermal buckling of porous symmetric and non-symmetric sandwich plate with homogenous core and S-FGM face sheets resting on Pasternak foundation

机译：多孔对称和非对称夹层板的热屈曲与岩浆基金会均匀芯和S-FGM面板

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摘要

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.
机译：在本研究中分析并讨论了孔隙率和热环境对具有不同边界条件的夹层板的屈曲反应。作者最近开发了使用新的改进的S形功能基于基于不同对称和非对称配置的功能分级材料（S-FGM）板的夹层板。提出了通过基于改进的六端法律的厚度的新温度分布，其中假设温度在厚度方向上进行温度。三种不同类型的孔隙度被认为是viz。甚至，不均匀但对称和不均匀但不对称。使用新的不均匀非对称孔隙率模型，其中微空隙根据厚度方向上的材料性质变化而变化，以捕获板上的空隙的精确分布。虚拟工作原理用于导出均衡方程。使用具有满足边缘边界条件的具有形状函数的假定的解决方案获得精确的解决方案。这是使用Galerkin Vlasov的方法实现的。已经进行了分析以研究孔隙，几何配置，不均匀性参数和基础参数的影响。观察到，与其他对称和非对称板配置和温度分布相比，弹性基础参数对非线性温度分布的非对称板配置的影响最小。此外，与对称配置相比，非对称板配置具有最大的热屈曲温度。观察到具有值2的体积分数指数作为转换点，其中孔隙率分布的效果为无效和空隙2-1-1平板配置，而不管边界条件如何。计算的结果和解释可以作为验证研究，以便将夹层调查在热环境中具有孔隙孔的夹层的S-FGM平板。

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