位移模式对Cross－PLY矩形板热弹性响应的影响

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。     

有关复合材料迭层板平面响应的理论

为了准确地分析迭层板的平面响应，本文建立了一种以Ｒｅｉｓｓｎｅｒ的新的混合变分原理为基础的迭层板剪切变形理论。将一阶剪切变形理论的平面位移叠加一项交错线性数函数平模拟平面位移沿厚度的变化，为保证层间应力的连续性，将横向剪切应力处理成厚度从标的二次函数。将该理论具体实施到迭层的柱形弯曲问题中，理论解与Ｐａｇａｎｏ的精确解比较的结果说明了本文的迭层板理论对于分析平面响应是非常有效的。     

含双共线裂纹板的弹性分析

本文研究含双共线裂纹无限大平板的平面弹性问题,目的是要确定当裂纹上下表面受到任意的张开型载荷(正应力)作用时,板内的应力状态,特别是裂纹尖端上的应力强度因子.已有的若干文献考虑的是均布正应力情况下的问题,只是本文所处理的情况的一个特例.1.问题和基本解答考虑图1所示的含裂纹无限大平板.用t 表示裂纹位置线L 上的坐标x,我们要确定当裂纹上下表面受到任意的正应力σ(t)作用时,板内的应力和应力强度因子的计算公式.为此,就要解出由下列边界条件确定的一个平面弹性问题:     

NONLINEAR THREE-DIMENSIONAL ANALYSIS OF COMPOSITELAMINATED PLATES

ＮＯＮＬＩＮＥＡＲＴＨＲＥＥ－ＤＩＭＥＮＳＩＯＮＡＬＡＮＡＬＹＳＩＳＯＦＣＯＭＰＯＳＩＴＥＬＡＭＩＮＡＴＥＤＰＬＡＴＥＳ￥(江晓禹，张相周，陈百屏)ＪｉａｎｇＸｉａｏｙｕ；（ＳｏｕｔｈｗｅｓｔｅｒｎＪｉａｏｔｏｎｇＵｎｉｖｅｒｓｉｔｙ，Ｃｈｅｎｇｄｕ６...     

Nonlinear three-dimension analysis for axially symmetrical circular plates and multilayered plates

Analytic nonlinear three-dimension solutions are presented for axially symmetrical homogeneous isotropic circular plates and multilayered plates with rigidly clamped boundary conditions and under transverse load.The geometric nonlinearily from a moderately large deflection is considered.A developmental perturbation method is used to solve the complicated nonlinear three-dimension differential equations of equilibrium.The basic idea of this perturbation method is using the two-dimension solutions as a basic form of the corresponding three-dimension solutions,and then processing the perturbation procedure to obtain the three-dimension perturbation solutions.The nonlinear three-dimension results in analytic expressions and in numerical forms for ordinary plates and multilayered plates are presented.All of the plate stresses are shown in figures.The results show that this perturbation method used to analyse nonlinear three-dimension problems of plates is effective.