基于新修正偶应力理论的斜交铺设层合Kirchhoff板模型与尺度效应

摘要

A model for angle-ply laminate Kirchhoff plate was developed based on the new modified couple stress theory.The new model contains only one scale parameter.The effects of ply angle on scale effect were analyzed. The principle of virtual work was employed to derive the bending equations and boundary conditions of laminate Kirchhoff plate in arbitrary ply angles.A simply supported antisymmetric microscale angle-ply laminate Kirchhoff plate was analytically solved by this new model.The results show that the scale effects of microscale anisotropic laminate not only depend on the characteristic size,but also depend on the ply angles.The ply angles may have sig-nificant effect on the scale effects.%基于新修正偶应力理论，建立了只含有1个尺度参数的复合材料斜交铺设层合 Kirchhoff板模型，并分析了铺设角对尺度效应的影响。采用虚功原理推导了任意铺设角的层合 Kirchhoff板的弯曲方程和边界条件。通过新模型给出了四边简支反对称角铺设微尺度层合 Kirchhoff 板的解析解。结果表明：细观尺度各向异性层合板的尺度效应并不仅仅受其几何尺寸的影响，还受铺设角的影响；铺设角对尺度效应可能产生非常显著的影响。