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Thermal buckling of cross-ply laminated composite shallow shells according to a global higher-order deformation theory

机译：根据整体高阶变形理论的交叠层压复合浅壳热屈曲

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摘要

A two-dimensional global higher-order deformation theory is presented for the evaluation of critical temperatures in cross-ply laminated composite shallow shells subjected to thermal loading. The effects of prebuckling deformations of the shells subjected to a temperature change that is independent of the in-plane coordinates are taken into account in the present analysis. 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 are derived through the principle of virtual work. Several sets of truncated Mth order approximate theories are applied to solve the thermal buckling problems of a simply supported multilayered shell. Critical temperatures are shown for two cases of including the effects of prebuckling displacements and neglecting these effects. The modal 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. The present results are verified to be accurate enough for cross-ply laminated composite shallow shells through the convergence study and energy balance computations.
机译：提出了一种二维全局高阶变形理论，用于评估承受热负荷的交叉层压复合浅壳的临界温度。在本分析中考虑了承受与平面内坐标无关的温度变化的壳体的预屈曲变形的影响。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壳的热屈曲问题。显示了两种情况下的临界温度，其中包括预屈曲位移的影响而忽略了这些影响。模态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。通过收敛性研究和能量平衡计算，证明了本结果对于交叉层压的复合材料浅壳足够准确。

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