Implementation Details for the Phase Field Approaches to Fracture

doi:10.1007/s12204-018-1922-0

sa ›› 2018, Vol. 23 ›› Issue (1): 166-174.doi: 10.1007/s12204-018-1922-0

Implementation Details for the Phase Field Approaches to Fracture

SHEN Yongxing1,2* (沈泳星), MOLLAALI Mostafa1,2, LI Yihuan1,2 (李毅环),MA Weixin1,2 (马维馨), JIANG Jiahao3 (蒋家皓)

(1. State Key Laboratory of Metal Matrix Composites, Shanghai Jiao Tong University, Shanghai 200240, China; 2. University of Michigan - Shanghai Jiao Tong University Joint Institute, Shanghai Jiao Tong University, Shanghai 200240, China; 3. Department of Mechanical Engineering, University of Michigan, Ann Arbor, Michigan, USA)

出版日期:2018-02-01 发布日期:2018-02-01
通讯作者: SHEN Yongxing(沈泳星) E-mail: yongxing.shen@sjtu.edu.cn

Implementation Details for the Phase Field Approaches to Fracture

SHEN Yongxing1,2* (沈泳星), MOLLAALI Mostafa1,2, LI Yihuan1,2 (李毅环),MA Weixin1,2 (马维馨), JIANG Jiahao3 (蒋家皓)

(1. State Key Laboratory of Metal Matrix Composites, Shanghai Jiao Tong University, Shanghai 200240, China; 2. University of Michigan - Shanghai Jiao Tong University Joint Institute, Shanghai Jiao Tong University, Shanghai 200240, China; 3. Department of Mechanical Engineering, University of Michigan, Ann Arbor, Michigan, USA)

Online:2018-02-01 Published:2018-02-01
Contact: SHEN Yongxing(沈泳星) E-mail: yongxing.shen@sjtu.edu.cn

摘要/Abstract

摘要： Phase field description of fracture is a very promising approach for simulating crack initiation, propagation, merging and branching. This method greatly reduces the implementation complexity, compared with discrete descriptions of cracks. In this work, we provide an overview of phase field models for quasistatic and dynamic cases. Afterward, we present useful vectors and matrices for the implementation of this method in two and three dimensions.

关键词: phase field approach to fracture, variational fracture, brittle fracture, dynamic fracture, variational integrator

Abstract: Phase field description of fracture is a very promising approach for simulating crack initiation, propagation, merging and branching. This method greatly reduces the implementation complexity, compared with discrete descriptions of cracks. In this work, we provide an overview of phase field models for quasistatic and dynamic cases. Afterward, we present useful vectors and matrices for the implementation of this method in two and three dimensions.

Key words: phase field approach to fracture, variational fracture, brittle fracture, dynamic fracture, variational integrator

中图分类号:

O241.82

SHEN Yongxing1,2* (沈泳星), MOLLAALI Mostafa1,2, LI Yihuan1,2 (李毅环),MA Weixin1,2 (马. Implementation Details for the Phase Field Approaches to Fracture[J]. sa, 2018, 23(1): 166-174.

SHEN Yongxing1,2* (沈泳星), MOLLAALI Mostafa1,2, LI Yihuan1,2 (李毅环),MA Weixin1,2 (马维馨), JIANG Jiahao3 (蒋家皓). Implementation Details for the Phase Field Approaches to Fracture[J]. Journal of Shanghai Jiao Tong University (Science), 2018, 23(1): 166-174.

参考文献

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Implementation Details for the Phase Field Approaches to Fracture

Implementation Details for the Phase Field Approaches to Fracture

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