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A refined hyperbolic shear deformation theory for thermal buckling analysis of cross-ply laminated plates

机译:精细的双曲剪切变形理论,用于交叉层压板的热屈曲分析

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Analytical solution of refined hyperbolic shear deformation theory is developed to obtain the critical buckling temperature of cross-ply laminated plates with simply supported edge. Derivations of equations are based on novel refined theory using a new hyperbolic shear deformation theory. Unlike other theories, there are only four unknown functions involved, as compared to five in other shear deformation theories. The theory presented is variationally consistent and strongly similar to the classical plate theory in many aspects. It does not require the shear correction factor, and gives rise to the transverse shear stress variation so that the transverse shear stresses vary parabolically across the thickness to satisfy free surface conditions for the shear stress. The validity and high accuracy of the current exact solution are evaluated by comparing the present results with their counterparts reported in literature. (C) 2016 Elsevier Ltd. All rights reserved.
机译:提出了精细的双曲线剪切变形理论的解析解,以得到具有简单支撑边的交叉层压板的临界屈曲温度。方程的推导基于使用新的双曲剪切变形理论的新颖的精炼理论。与其他理论不同,与其他剪切变形理论中的五个未知函数相比,仅涉及四个未知函数。提出的理论在变化方面是一致的,并且在许多方面与经典板理论非常相似。它不需要剪切校正因子,并且会引起横向剪切应力变化,从而横向剪切应力会在整个厚度上呈抛物线形变化,从而满足剪切应力的自由表面条件。通过将当前结果与文献报道的同类结果进行比较,可以评估当前精确解的有效性和准确性。 (C)2016 Elsevier Ltd.保留所有权利。

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