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Analytic solution of angle-ply laminated plates under extension, bending, and torsion
Journal of Composite Materials ( IF 2.9 ) Pub Date : 2019-09-09 , DOI: 10.1177/0021998319873025
Shen-Haw Ju, Wen-Yu Liang, Hsin-Hsiang Hsu, Jiann-Quo Tarn

This paper develops a Hamiltonian state space approach for analytic determination of deformation and stress fields in multilayered monoclinic angle-ply laminates under the combined action of extension, bending, and torsion. The present solution satisfies the equations of anisotropic elasticity, the end conditions, the traction-free boundary conditions on the four edge surfaces of the rectangular section, and the interfacial continuity conditions in multilayered laminates. The proposed method only requires the solutions of matrix and eigen equations, regardless of the number or lamination of the layers. The finite element analyses are used to validate the accuracy of the analysis. The analytical solution and the numerical solutions are in excellent agreement.

中文翻译:

角层合板在拉伸、弯曲和扭转作用下的解析解

本文开发了一种哈密顿状态空间方法,用于在拉伸、弯曲和扭转的联合作用下分析确定多层单斜角层板中的变形和应力场。本解满足各向异性弹性方程、端部条件、矩形截面四个边面上的无牵引边界条件以及多层层压板的界面连续性条件。所提出的方法只需要矩阵和特征方程的解,而不管层的数量或分层。有限元分析用于验证分析的准确性。解析解和数值解非常吻合。
更新日期:2019-09-09
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