复合材料单层板非弹性主方向的裂纹尖端应变能释放率  

On Crack-Tip Strain Energy Release Rate in Non-Principal Directions of Elasticity for Simple Layer Plate of Composite Materials

作　　者：杨维阳[1] 张少琴[1] 

机构地区：[1]太原重型机械学院

出　　处：《应用数学和力学》1993年第8期707-713,共7页Applied Mathematics and Mechanics

摘　　要：本文研究线弹性正交异性复合材料单层板非弹性主方向的断裂问题.推出了非弹性主方向坐标系和弹性主方向坐标系的特征根和柔度系数的变换公式.将裂纹尖端应力与位移代入应变能释放率的基本公式,得到了在斜对称载荷作用下,用弹性主方向坐标系的工程参量表示的裂纹尖端应变能释放率的计算公式.In this paper, the fracture problem in non-principal directions of elasticity for a simple layer plate of linear-elastic orthotropic composite materials -is studied. The formulae of transformation between characteristic roots, coefficients of elastic compliances in non-principal directions of elasticity and corresponding parametsrs in principal directions of elasticity are derived. Then, the computing formulas of strain energy release rate under skew-symmetric loading in terms of engineering parameters for principal directions of elasticity are obtained by substituting crack-tip stresses and displacements into the basic formula of the strain . energy release rate.

关 键 词：应变能释放率 复合材料 裂纹 

分 类 号：O346.1[理学—固体力学]