摘要
该文利用积分变换和奇异积分方程技术研究压电压磁双材料界面裂纹在磁导、电位移和机械载荷作用下的二维断裂问题。本文仅考虑四种理想的裂纹面电磁边界条件即磁电不导通(情形1)、磁导通电不导通(情形2)、磁不导通电导通(情形3)和磁电导通(情形4)。导出了应力强度因子(SIF)和能量释放率(ERR)的表达式,给出了ERR的大量数值结果,并与已有结果进行了对比。研究成果对压电压磁多层复合结构的设计具有理论与应用价值。
Two dimensional fracture problem of an interfacial crack between piezoelectric and piezomagnetic layers are investigated under magnetic, electrical and mechanical loads by using integral transform method and singular integral equation technique. Four kinds of ideal crack-face assumptions, i.e., magnetoelectrically impermeable （Case 1）, magnetically permeable and electrically impermeable （Case 2）, magnetically impermeable and electrically permeable （Case 3） and magnetoelectrically permeable （Case 4）, are adopted separately. The stress intensity factor （SIF） as well as energy release rate （ERR） are given and numerically resolved, Lots of numerical results on ERR are given and compared with the possible results. The results presented here should have potential applications to the design of multilayered piezoelectric and piezomagnetic layered structures.
出处
《工程力学》
EI
CSCD
北大核心
2013年第6期327-333,共7页
Engineering Mechanics
基金
国家自然科学基金项目(11072160)
关键词
压电材料
压磁材料
I-型裂纹
界面裂纹
应力强度因子
能量释放率
piezoelectric ceramics
piezomagnetic material
mode-I problem
interfacial crack
stress intensityfactor
energy release rate
