含孔有限大各向异性板的应力集中

STRESS CONCENTRATION OF FINITE ANISOTROPIC PLATE WITH ELLIPTICAL HOLE

利用经典层板理论，将复合材料层板的弹性问题化归为均匀各向异性板求解，采用各向异性体平面弹性理论中的复势方法，以Ｆａｂｅｒ级数和最小二乘边界配置技术为工具，提出了含孔有限大层板应力集中问题的级数解，详细探讨铺层形式、层板大小。

Based on the classical laminated plate theory, a finite composite laminated plate with an elliptical hole is treated as an anisotropic multiple connected plate. Using the complex potential method in the plane theory of elasticity of an anisotropic body, an analytical solution concerned with the stress concentration around an elliptical hole in a finite composite laminated plate is obtained with the help of the Faber series expansion and the least square boundary collocation technique. The effects of hole sizes, layups and loading conditions on stress concentration are studied in detail.