摘要
研究横观各向同性压电材料中裂纹问题，提出了Bueckner功共轭积分在这类材料中的表达式：并通过引出两类辅助的应力-位移-电位移-电势场，证明功共轭积分和这类材料中的J积分和M积分仍然存在简单的两倍关系由此，各类在脆性材料断裂问题中已广泛应用的权函数方法可顺理成章地推广到压电材料的研究中来．这对独立地确定电位移强度因子和经典的I、II型应力强度因子提供了有力的数学上的工具．进而通过计算机械应变能释放率对压电材料中裂纹的稳定做出判断．
This paper deals with crack problems in transversely isotropic piezoelectric material. The formulations of Bueckner work conjugate integrals in these kinds of materials are presented. Furthermore, by introducing two kinds of supplementary 'stress-displacement and electricdisplacement-electric field potential' fields, it is proved that are simple but universal relationsbetween the Bueckner work conjugate integral and the J--integral and between the Bueckner workconjugate integral and the M-integral in these kinds of materials. Therefore, the weight functionmethods whiCh are widely used in fracture mechanics for brittle elastic materials could be extendedto treat the crack problems in piezoelectric materials. The methods could then be adopted to findthe electric displacement-intensity factor as well as the traditional Mode I and Mode II stress intensity factors, distinctively, at a crack tip in piezoelectric materials, from which the well--knownmechanical strain energy release rate could be given and the stability or growth of the crack insuch materials could be determined.
出处
《力学学报》
EI
CSCD
北大核心
1999年第5期625-632,共8页
Chinese Journal of Theoretical and Applied Mechanics
基金
国家自然科学基金
清华大学破坏力学实验室资助
关键词
压电材料
功共轭积分
裂纹
J积分
M积分
piezoelectric material, work conjugate integral, electric displacement intensity factor,supplementary field, J-integral, M-integral
