位移模式对Cross－PLY矩形板热弹性响应的影响

Effect of In-Plane Displacement Model on ThermoelasticRcsponses of Cross-Ply Rectangular Plate

本文建立了以Ｒｅｉｓｓｎｅｒ混合变分原理为基础的迭层板剪切变形理论来求解Ｃｒｏｓｓ－ＰＬＹ矩形板的热弯曲问题，用二种方式来模拟平面位移沿厚度的变化：将一阶剪切变形理论的平面位移叠加一项交错线性函数；设平面住移是分段线性连续函数。为保证层间应力的连续性，将横向剪切应力处理成厚度坐标的二次函数，温度沿厚度线性变化。通过对称及反对称Ｃｒｏｓｓ－ＰＬＹ矩形板的热应力及挠度分析比较，指出了位移模式对热弹性响应的影响。

A shear deformation theory based upon a new mixed variational principle proposed by Reissner(1984) is developed to study the thermal bending problem for cross-ply rectangular plates. Two meth-ods are used to simulate the thickness variation of in-plane displacement: ① A zigzas-shal)ed linearfunction is included in the in-plane displacement one-order shear deformation theory ② Across eachindividual layer, piecewise linear continuous displacement is assumed. The thickness variation of tem-perature is considered to be linear. By comparing the thermal stresses and deflection for symmetric andantisymmetric rectangular plate using the two methods, effect of in-plane displacement model on ther-moelastic responses of cross-ply rectangular plate can be known.