磁电弹性材料含纳米尺度唇口次生 两不对称裂纹的反平面问题.

Based on the Gurtin-Murdoch surface elasticity theory and the magnetoelectroelasticity (MEE) theory, the fracture behaviors of MEE materials containing nanoscale lip-shaped orifice with 2 asymmetric cracks under anti-plane mechanical loads and in-plane electromagnetic loads were investigated with the analytic function conformal mapping technique. Analytical solutions for the generalized MEE stress fields around defects (the lip-shaped orifice and cracks), as well as the crack tip MEE intensity factors and energy release rates, were given. Under special conditions, the obtained results would degenerate into existing results or offer new insights. Numerical examples reveal that, the defect surface effects on the MEE intensity factors are dependent on the radii of nano-sized circular holes, the size of the lip-shaped orifice, the size of secondary cracks originating from the lip-shaped orifice, and the applied MEE loads. Under the surface effect, the dimensionless energy release rate varies with the lip width, the infinity mechanical load, the infinity electrical load and the infinity magnetic load. [ABSTRACT FROM AUTHOR]