摘要：由于磁电弹性复合材料具有独特的磁电耦合效应，因而被广泛应用于磁场探测、电包装、传感器和驱动器等。在力、电和磁载荷长期服役下，磁电弹性复合材料由于加工过程中产生的各种缺陷如裂纹、孔洞等极易导致失效。因此，磁电弹性复合材料的断裂力学是一个重要的研究课题。

 

　　采用复变函数方法和保角映射技术，研究了磁电弹性复合材料中唇形裂纹在无限远处受反平面剪应力以及面内磁电载荷共同作用下的断裂行为，给出了磁电全非渗透型和磁电全渗透型边界条件下裂纹尖端场强度因子和能量释放率的解析解。当唇形裂纹的高度趋于零时，可得到无限大磁电弹性体中Griffith裂纹的解析解。通过数值算例，分析了裂纹的几何尺寸以及磁、电和机械载荷对能量释放率的影响。

 

　　关键词：磁电弹性复合材料；唇形裂纹；复变函数方法；场强度因子；能量释放率

 

 

Yu Jing *,+,2） ,Guo Junhong *,Xing Yongming *

 

*（  The Chinese Society of Theoretical and Applied Mechanics,Hohhot <app:ds:Hohhot>  010051,China ）

 

+（ College of General Education, Inner Mongolia Normal University,Hohhot <app:ds:Hohhot>  011517,China ）

 

　　Abstract:Due to their unique magnetoelectric coupling effect, compositematerials consisting of a piezoelectric phase and a piezomagneticphase are extensively used as magnetic field probes, electric packaging, sensors and actuators.When subjected to mechanical,magnetic and electrical loads in service, these magnetoelectroelasticmaterials can fail prematurely due to some defects such ascracks and holes, arising during their manufacturing processes.Therefore, the fracture mechanics of magnetoelectroelastic solidis an important research subject.In recent years, research on fracture mechanics of magnetoelectroelasticmaterials has received considerable interests.

 

　　Based on the complex variable function method and the technique of conformal mapping, the fracture behavior of a lip-shape crack in a magnetoelectroelastic composite material was studied under remotely uniform anti-plane shear stress and in-plane electric and magnetic loads. the analytical expressions of the field intensity factors and the energy release rate were obtained with the assumption that the crack surfaces were both electrically and magnetically impermeable and both electrically and magnetically permeable. When the height of the lip-shape crack approaches to zero, the present results can be reduced to the solutions of the Griffith crack.The numerical examples are provided to show the influences of the geometrical parameters and applied electric/magnetic and mechanical loads on the mechanical strain energy release rate.

 

　　Key words:magnetoelectroelastic composite material,lip-shape crack,complex variable function method,field intensity factors, energy release rate

 

　　联系方式

 

　　郭俊宏：jhguo@imut.edu.cn