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Numerical method for nonlinear models of penny-shaped cracks in three-dimensional magnetoelectroelastic media
Authors:MingHao Zhao  ZhengHua Guo  CuiYing Fan
Affiliation:1. School of Mechanical Engineering, Zhengzhou University, No. 100 Science Road, Zhengzhou, 450001, Henan, People’s Republic of China
2. School of Mechanics and Engineering Science, Zhengzhou University, No. 100 Science Road, Zhengzhou, 450001, Henan, People’s Republic of China
3. Henan Key Engineering Laboratory for Anti-fatigue Manufacturing Technology, Zhengzhou, 450001, Henan, China
Abstract:Green functions corresponding to uniformly distributed extended displacement discontinuities on an annular crack element in the isotropic plane of a three-dimensional transversely isotropic magnetoelectroelastic medium are derived. Using the obtained Green functions, an extended displacement discontinuity method is presented to analyze a penny-shaped crack under axisymmetric loadings. Using the electric and magnetic polarization saturation model and the electric and magnetic breakdown model, the electric and magnetic yielding zones, the extended displacement discontinuities, the extended stress intensity factors and the J-integral are numerically calculated. The accuracy and efficiency of the proposed method are demonstrated by comparing the numerical results with those obtained from analytical solutions.
Keywords:
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