Study on Surface Effects of Hexagonal Nano-Defects in Magneto-Electro-Elastic Materials
In the framework of fracture mechanics of magneto-electro-elastic materials,the type Ⅲ fracture mechanics problem of six equal-length nano-cracks emanating from a regular hexagonal hole in magneto-electro-elastic bodies under the anti-plane mechanical,in-plane electrical and magnetic coupled loads are analyzed,using the surface elastic theory and the analytical function boundary value theory.The exact solutions of nano-scale crack problem considering the surface effect are determined.Based on the obtained analytical solutions,numerical examples are given to reveal the influences of surface effects,defect geometric parameters and damage loads on the fracture parameters under two ideal crack surface electromagnetic conditions.It is found that the factors affecting crack propagation are obviously different from the classical elastic theory when the surface effects are considered.Each physical component exhibits a significant size-dependent effect.However,as defect size increases,the surface effect decreases and tends to the classical elastic theoretical value.The results provide theoretical guidance for the application of this material in the micro-and nano-structures and micro electro mechanical system.
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