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A layer-wise theory for laminated glass and photovoltaic panels

机译：夹层玻璃和光伏面板的分层理论

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Laminated plates with glass skin layers and a core layer from soft polymers are widely used in the civil engineering. Photovoltaic panels currently available on the market are composed from stiff front and back layers and a solar cell layer embedded in a soft polymeric encapsulant. In this paper a layer-wise theory for the structural analysis of glass and photovoltaic laminates is developed. Starting from governing equations for individual layers, kinematical constraints and appropriate interaction forces, a twelfth order system of partial differential equations is derived. The primary variables in the theory include the Airy stress function, the deflection function and the vector of relative in-plane displacements of skin layers. For symmetric laminates a system of uncoupled differential equations with respect to scalar potentials is presented. Three of them correspond to the first order shear deformation plate. The new additional second order differential equation provides a correction function according to the layer-wise theory. Closed form analytical solutions for a plate strip are derived to illustrate the essential influence of this correction for laminates with soft core layer. The importance of additional boundary conditions is shown for examples of free and framed plate edges.
机译：具有玻璃表皮层和由软聚合物制成的芯层的层压板广泛用于土木工程。当前在市场上可获得的光伏面板由坚硬的前，后层和嵌入软聚合物密封剂中的太阳能电池层组成。本文提出了一种用于玻璃和光伏层压板结构分析的分层理论。从各个层的控制方程，运动学约束和适当的相互作用力出发，导出了偏微分方程的十二阶系统。该理论中的主要变量包括艾里应力函数，挠度函数和皮肤层相对平面内位移的向量。对于对称层压板，提出了一个相对于标量电势的解耦微分方程组。其中三个对应于一阶剪切变形板。新的附加二阶微分方程根据层理论提供了校正函数。得出了板带的封闭形式分析解决方案，以说明这种校正对具有软芯层的层压板的基本影响。显示了附加边界条件的重要性，例如自由的和带框的板边缘。

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