A refined shear deformation theory for the analysis of laminated plates
A refined shear deformation theory for the analysis of laminated plates
复制标题
用于层合板分析的精细剪切变形理论
DOI：
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发表时间：
1986
期刊：
影响因子：
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通讯作者：
J. Reddy
中科院分区：
文献类型：
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作者：
J. Reddy
一个完善的，三阶板理论，占横向剪切应变，Navier解导出某些简支正交铺设和反对称角铺设层合板，和有限元模型开发一般层合板。新理论不需要一阶理论的剪切修正系数（即，Reissner-Mindlin板理论），因为在本理论中横向剪应力是抛物线表示的。一个混合的有限元模型，使用独立的近似的广义位移和广义力矩，和位移模型，仅使用广义位移作为自由度的开发。位移模型要求跨单元间边界的横向挠度具有Csup 1连续性，而混合模型要求Csup 0单元。此外，混合模型不需要弯矩的连续近似（单元之间）。数值结果表明，本理论在预测横向应力的准确性。对板的非线性弯曲进行了数值计算，计算结果与文献中的实验结果进行了比较。
A refined, third-order plate theory that accounts for the transverse shear strains is presented, the Navier solutions are derived for certain simply supported cross-ply and antisymmetric angle-ply laminates, and finite-element models are developed for general laminates. The new theory does not require the shear correction factors of the first-order theory (i.e., the Reissner-Mindlin plate theory) because the transverse shear stresses are represented parabolically in the present theory. A mixed finite-element model that uses independent approximations of the generalized displacements and generalized moments, and a displacement model that uses only the generalized displacements as degrees of freedom are developed. The displacement model requires C sup 1-continuity of the transverse deflection across the inter-element boundaries, whereas the mixed model requires a C sup 0-element. Also, the mixed model does not require continuous approximations (between elements) of the bending moments. Numerical results are presented to show the accuracy of the present theory in predicting the transverse stresses. Numerical results are also presented for the nonlinear bending of plates, and the results compare well with the experimental results available in the literature.