Dynamic fracture analysis of a penny-shaped crack in a magnetoelectroelastic layer
Dynamic fracture analysis of a penny-shaped crack in a magnetoelectroelastic layer
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DOI：
10.1016/j.ijsolstr.2007.05.020
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发表时间：
2007-12
影响因子：
3.6
通讯作者：
W. Feng;E. Pan;X. Wang
中科院分区：
文献类型：
--
作者：
W. Feng;E. Pan;X. Wang
本文分析了在预定应力或预定位移作用下磁电弹性层中硬币形裂纹引起的动态磁电弹性行为。两种裂纹面条件，即，采用磁电不可渗透和可渗透的裂缝。利用拉普拉斯变换和汉克尔变换将问题转化为Fredholm积分方程。得到了场强因子，并进行了讨论。裂纹张开位移（COD）的强度因子的数值结果和磁电载荷，裂纹表面条件和裂纹的配置裂纹扩展和增长的影响进行了检查。结果表明，电磁弹性材料的断裂行为与电磁场的大小和方向有关，且与弹性边界条件密切相关。
This paper analyzes the dynamic magnetoelectroelastic behavior induced by a penny-shaped crack in a magnetoelectroelastic layer subjected to prescribed stress or prescribed displacement at the layer surfaces. Two kinds of crack surface conditions, i.e., magnetoelectrically impermeable and permeable cracks, are adopted. The Laplace and Hankel transform techniques are employed to reduce the problem to Fredholm integral equations. Field intensity factors are obtained and discussed. Numerical results of the crack opening displacement (COD) intensity factors are presented and the effects of magnetoelectromechanical loadings, crack surface conditions and crack configuration on crack propagation and growth are examined. The results indicate that among others, the fracture behaviors of magnetoelectroelastic materials are affected by the sizes and directions of the prescribed magnetic and/or electric fields, and the effects are strongly dependent on the elastic boundary conditions.