集中荷载作用下的压电压磁双材料Ⅲ型界面裂纹问题

Mode Ⅲ Piezoelectric-Piezomagnetic Bimaterial Interfacial Crack Problem under Concentrating Load

研究了压电压磁双材料的Ⅲ型界面裂纹问题,裂纹表面和界面电磁绝缘,且作用有集中荷载.通过解析延拓和复变函数技术,得到该问题的全场解,并给出了裂纹尖端的场强因子.还讨论了Wan等所定义的用以表征界面上下压电压磁材料失配比的无量纲参数G,发现G实际表征的是界面两侧应变的比值,也即界面两侧应变的不相容性.

The problem of two piezoelectric-piezomagnetic half planes with a mode III interracial crack was studied with a concentrating shear stress applied on the crack interface. The crack surface and interface were assumed impermeable. The closed form solutions were obtained by utilizing the complex variable method and the stress intensity factor was given. The material mismatch parameter G defined by Wan was discussed. It was found that G actually is the ratio of the strains on both sides of the interface, i.e. G can be used to characterize the strain incompatibility on the interface.