层合板六参量几何非线性高阶剪切理论

SIX-VARIABLE GEOMETRICALLY NONLINEAR LAMINATED THEORY FOR LARGE DEFORMATION

提出了层合板六参量的高阶剪切变形理论的位移场假定 ,以考虑在大变形条件下层合板法向变形和厚度的变化 .同时对vonKarman应变位移简化假设进行了补充修改 ,考虑某些有限变形条件下被忽略小量的影响 ,建立了对应于该文六参量模型和更加适合大变形分析的层合板几何非线性关系 ,平衡方程和边界条件 .利用该文模型分析了橡胶复合材料简支板的大变形弯曲行为 ,并对比Reddy五参量几何非线性简单高阶剪切变形层合理论解和弹性解析解 ,证明该文模型更适合大变形和层合厚板分析 .

A six variable geometrically nonlinear shear deformation laminated theory is presented by which normal stress and strain distribution can be calculated. By considering some affecting factors, which were neglected under the finite deformation condition, an improved von Karman deformation strain relation is used for large deformation analysis. Through theoretically analyzing the bending problems of cord rubber laminated plates, and by comparing it with Reddy J N five variable simple high order shear deformation laminated theory, we can come to a conclusion that a satisfactory precision of the calculation studied in this paper has been achieved. It shows that the presented model is especially suitable for analysing large deformation and laminated thick plate.