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A refined zigzag nonlinear first-order shear deformation theory of composite laminated plates

机译：复合材料叠合板的精细曲折非线性一阶剪切变形理论

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摘要

A refined nonlinear zigzag shear deformation theory of composite laminated plates is presented using a modified mixed variational formulation. The theory accounts for continuous piecewise layer-by-layer linear variation approximation in the thickness direction for the displacements. Moreover, it includes piecewise stress distributions satisfying the continuity conditions at the layer interfaces and the surface conditions. The advantages of this theory are that it recovers the interlaminar stresses, and does not need any shear correction factor used in other first-order theories. To assess this theory, the bending problems of symmetric and antisymmetric cross-ply laminated plates are solved. Some numerical results for the deflection and stresses are compared with their counterparts in the literature obtained due to three-dimensional elasticity solution and higher-order laminate theories. It is found that the present theory predicts the local and global responses of the laminated plates with excellent accuracy.
机译：利用改进的混合变分公式，提出了复合叠层板的精细非线性之字形剪切变形理论。该理论考虑了位移在厚度方向上连续的逐层逐层线性变化近似。而且，它包括满足层界面的连续性条件和表面条件的分段应力分布。该理论的优点在于它可以恢复层间应力，并且不需要其他一阶理论中使用的任何剪切校正因子。为了评估该理论，解决了对称和反对称交叉层压板的弯曲问题。由于三维弹性解和高阶层合理论，将挠度和应力的一些数值结果与文献中的结果进行了比较。发现本理论以优异的精度预测了层压板的局部和整体响应。

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