Volume 36, Number 6, December 2018
|Page(s)||1209 - 1215|
|Published online||12 March 2019|
Analysis of Mode Ⅲ Interface Fracture for Magneto-Electro-Elastic Materials
State Key Laboratory of Structure Analysis of Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian, 116024, China
2 School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an 710072, China
A novel finite element discretized symplectic method is developed for analyzing interface fracture of magneto-electro-elastic (MEE) materials under anti-plane loads. The overall cracked body is meshed by conventional finite elements and divided into a finite size singular region near the crack tip (near field) and a regular region far away from the crack tip (far field). In the near field, a based-Hamiltonian model is introduced to find the analytical series expressions, and the large number nodal unknowns are condensed into a small set of the undetermined coefficients of the symplectic series by a transformation. The nodal unknowns in the far field remain unchanged. The stress, electric and magnetic intensity factors, energy release rates (ERRs) and explicit expressions of singular field variables in the near field are simultaneously obtained without any processing.
Key words: intensity factors / finite element discretized symplectic method / magneto-electro-elastic materials / anti-plane interface fracture
关键字 : 强度因子 / 辛离散有限元方法 / 电磁弹性材料 / 反平面界面裂纹
© 2018 Journal of Northwestern Polytechnical University. All rights reserved.
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