电磁弹性材料Ⅲ型界面断裂分析

Zhenhuan Zhou; Wang Xu; Zichen Deng; Xinsheng Xu; Chenghui Xu

doi:10.1051/jnwpu/20183661209

电磁弹性材料Ⅲ型界面断裂分析

Translated title of the contribution: Analysis of Mode III Interface Fracture for Magneto-Electro-Elastic Materials

Zhenhuan Zhou
, Wang Xu
, Zichen Deng
, Xinsheng Xu
, Chenghui Xu

School of Aeronautics

Dalian University of Technology
Northwestern Polytechnical University Xian

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Translated title of the contribution	Analysis of Mode III Interface Fracture for Magneto-Electro-Elastic Materials
Original language	Chinese (Traditional)
Pages (from-to)	1209-1215
Number of pages	7
Journal	Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University
Volume	36
Issue number	6
DOIs	https://doi.org/10.1051/jnwpu/20183661209
State	Published - 1 Dec 2018

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title = "电磁弹性材料Ⅲ型界面断裂分析",

abstract = "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.",

keywords = "Anti-plane interface fracture, Finite element discretized symplectic method, Intensity factors, Magneto-electro-elastic materials",

author = "Zhenhuan Zhou and Wang Xu and Zichen Deng and Xinsheng Xu and Chenghui Xu",

year = "2018",

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doi = "10.1051/jnwpu/20183661209",

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TY - JOUR

T1 - 电磁弹性材料Ⅲ型界面断裂分析

AU - Zhou, Zhenhuan

AU - Xu, Wang

AU - Deng, Zichen

AU - Xu, Xinsheng

AU - Xu, Chenghui

PY - 2018/12/1

Y1 - 2018/12/1

N2 - 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.

AB - 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.

KW - Anti-plane interface fracture

KW - Finite element discretized symplectic method

KW - Intensity factors

KW - Magneto-electro-elastic materials

UR - https://www.scopus.com/pages/publications/85060755149

U2 - 10.1051/jnwpu/20183661209

DO - 10.1051/jnwpu/20183661209

M3 - 文章

AN - SCOPUS:85060755149

SN - 1000-2758

VL - 36

SP - 1209

EP - 1215

JO - Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University

JF - Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University

IS - 6

ER -

电磁弹性材料Ⅲ型界面断裂分析

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