磁电弹性功能梯度板共线Griffith裂纹断裂行为  

FRACTURE BEHAVIORS OF COLLINEAR GRIFFITH CRACKS IN A FUNCTIONALLY GRADIENT MAGNETO-ELECTRO-ELASTIC STRIP

作　　者：薛雁[1] 聂辉[1] 冯文杰[1] 

机构地区：[1]石家庄铁道学院工程力学系,石家庄050043

出　　处：《工程力学》2008年第4期70-74,共5页Engineering Mechanics

摘　　要：该文考察了磁电弹性功能梯度板的反平面问题。该板具有多个垂直于边界的共线裂纹。裂纹表面采用磁电不穿透或可穿透假设。应用积分变换和位错密度函数将问题化为柯西奇异积分方程求解。导出和分析了场强度因子和能量释放率。数值结果表明了载荷组合参数、材料梯度指数及裂纹构形对裂尖断裂行为的影响。The anti-plane problem for a functionally gradient magneto-electro-elastic strip containing multiple collinear cracks perpendicular to the boundary is investigated. The cracks are assumed to be either magneto-electrically impermeable or magneto-electrically permeable. Integral transforms and dislocation density functions are employed to reduce the problem to Cauchy singular integral equations. Field intensity factors and energy release rate are derived, analyzed and calculated numerically. The numerical results show the effect of the parameters of loading combination, the material gradient indices and the crack, configuration on the fracture behavior of the cracks.

关 键 词：磁电弹性材料 功能梯度材料(FGM) 共线裂纹 能量释放率 奇异积分方程 板 

分 类 号：O343[理学—固体力学] O346.1[理学—力学]