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Thermal buckling of cross-ply laminated composite and sandwich plates according to a globalhigher-order deformation theory

机译:根据整体高阶变形理论的交叠层压复合材料和夹层板的热屈曲

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摘要

A two-dimensional global higher-order deformation theory is presented for thermal buckling of cross-ply laminated composite and sandwich plates. By using the method of power series expansion of continuous displacement components, a set of fundamental governing equations which can take into account the effects of both transverse shear and normal stresses is derived through the principle of virtual work. Several sets of truncated Mth-order approximate theories are applied to solve the eigenvalue problems of a simply supported multilayered plate. Modal transverse shear and normal stresses can be calculated by integrating the three-dimensional equations of equilibrium in the thickness direction, and satisfying the continuity conditions at the interface between layers and stress boundary conditions at the external surfaces. Numerical results are compared with those of the published three-dimensional layerwise theory in which both in-plane and normal displacements are assumed to be C~0 continuous in the continuity conditions at the interface between layers. Effects of the difference of displacement continuity conditions between the three-dimensional layerwise theory and the global higher-order theory are clarified in thermal buckling problems of multilayered composite plates.
机译:提出了二维全局高阶变形理论,用于交叉层压复合材料和夹心板的热屈曲。通过使用连续位移分量的幂级数展开法,通过虚功原理推导了一套可以同时考虑横向剪力和法向应力影响的基本控制方程。应用了几套截断的M阶近似理论来解决简单支撑的多层板的特征值问题。模态横向剪切力和法向应力可以通过对厚度方向上的三维平衡方程进行积分,并满足层间界面处的连续性条件和外表面的应力边界条件来计算。将数值结果与已发布的三维分层理论的结果进行了比较,在三维分层理论中,在层间界面处的连续性条件下,平面内位移和法向位移都假定为C〜0连续。在多层复合板的热屈曲问题中,阐明了三维分层理论和整体高阶理论之间位移连续条件不同的影响。

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