反对称斜交叠层板双向弯曲问题的横向基理论解

研究反对称斜交叠层板的双向弯曲问题。根据横向基理论，在厚度方向，给出了三个方向位移沿厚度的分布规律；在面内方向，采用升阶谱位移函数；然后，应用最小势能原理导出叠层板的静力控制方程。通过对多种层数和铺层角的层板力学响应计算分析表明：在典型位置的应力分布，本文解与三维弹性解符合很好，并有较好的收敛性。

A Solution for antisymmetrical Laminated Anisotropic Plates under Bending with the Theory of Transverse Distribution Functions

A bi-directional bending problem for antisymmetrically laminated angle-ply plate is studied. Displacement distributions in the thickness direction are derived with the theory of transverse distribution functions, and hierarchical displacement function are adopted along in-plane direction. Finally, based on the principle of minimum potential theory, special finite element model is obtained. Accuracy and convergence of the solution are calculated for many kinds of layers and ply-angles. It is shown that the present stress results are in good agreement with the three-dimensional elasticity solution, and have a good convergence.