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An enhanced FSDT model for the calculation of interlaminar shear stresses in composite plate structures

机译:增强的FSDT模型用于计算复合板结构层间剪应力

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In this paper a procedure is proposed to calculate the interlaminar shear stresses in layered composite plates. The transverse shear stresses are obtained via the constitutive law and derivatives of some warping functions. For 4-node elements the derivatives of curvatures and strains of the reference surface with respect to the in-plane coordinates are determined through a system of four equations. Hence the equilibrium equations lead to a coupled system of ordinary differential equations, which are solved applying a displacement method. The resulting interlaminar shear stresses are continuous at the layer boundaries. The quality of the obtained results is demonstrated within several plate examples with symmetric and unsymmetric lay-ups. Comparisons with two other approaches using 9-node elements and a solid shell formulation together with a three-dimensional material law show good accuracy and efficiency of the proposed algorithm.
机译:本文提出了一种计算层状复合板层间剪切应力的方法。横剪应力是通过本构定律和某些翘曲函数的导数获得的。对于4节点单元,参考面的曲率和应变相对于面内坐标的导数是通过四个方程式的系统确定的。因此,平衡方程导致了一个常微分方程的耦合系统,可以使用位移法求解。所得的层间剪切应力在层边界处是连续的。在具有对称和不对称叠层的几个板实例中证明了所获得结果的质量。与其他两种使用9节点元素和固体壳公式以及三维材料定律的方法进行比较,表明该算法具有良好的准确性和效率。

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