论文部分内容阅读
通过引入合适的保角映射,利用复变函数方法研究了裂纹面上受反平面剪应力和面内磁电载荷共同作用下狭长磁电弹性体中半无限裂纹的断裂行为,给出了磁电全非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。当狭长体高度趋于无限大时,可得到无限大磁电弹性体中半无限裂纹的解析解。若不考虑磁场或电场作用,所得解可退化为已知解。通过数值算例,分析了裂纹面上受载长度、狭长体高度以及磁、电和机械载荷对能量释放率的影响。
By introducing a suitable conformal mapping method, the fracture behavior of semi-infinite crack in a narrow magnetoelectroelastic elastomer under the combined effect of anti-plane shear stress and in-plane magnetoelectric load on a cracked surface is studied by the complex function method. Analytical solution of the field strength factor and energy release rate at crack tip for all non - porous boundary conditions. When the length of narrow body tends to infinity, an analytical solution of semi-infinite crack in infinite magnetoelastic can be obtained. Without considering the effect of magnetic field or electric field, the solution can degenerate into a known solution. Numerical examples are given to analyze the effects of load length, strip height, and magnetic, electrical and mechanical loads on the energy release rate at cracked surface.