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刚度微分法计算压电材料平面断裂问题
引用本文:杨晓翔,匡震邦.刚度微分法计算压电材料平面断裂问题[J].力学学报,1997,29(3):314-322.
作者姓名:杨晓翔  匡震邦
作者单位:大庆石油学院机械系
摘    要:把计算应变能释放率的刚度微分法推广到压电材料平面断裂问题.在此基础上,利用压电材料平面断裂问题的有限元数值解作为真实场,用Sosa的平面问题裂端渐近解作为辅助场,由推广的交互M积分法求得了应力强度因子KI,KII和电位移强度因子KIV.算例表明,计算结果与理论解符合得很好

关 键 词:压电材料  刚度微分法  强度因子  断裂力学

THE CALCULATION OF PIEZOELECTRIC MATERIALS WITH A MIXED MODE CRACK
Yang Xiaoxiang.THE CALCULATION OF PIEZOELECTRIC MATERIALS WITH A MIXED MODE CRACK[J].chinese journal of theoretical and applied mechanics,1997,29(3):314-322.
Authors:Yang Xiaoxiang
Abstract:A stiffness derivative technique to deter min e the strain energy release rate has been generalized to the plane strain fracture problem of piezoelectric materials. By using the numerical solution to piezoelectric materials obtained by finite element method as the actual fields and Sosa's asymptotic expressions for the electricmechanical fields in the vicinity of the crack as the auxillary fields, the generalized reciprocal M integeral method is used to solve the stress intensity factors K I ,K II and the electric displacement intensity factor K IV of piezoelectric materials with a mixed mode crack. Numerical examples is presented to demonstrate the accuracy of the proposed method.
Keywords:piezoelectric materials  stiffness derivative technique  stress intensity factor  
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