中国物理B ›› 2011, Vol. 20 ›› Issue (3): 36102-036102.doi: 10.1088/1674-1056/20/3/036102

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The relation between the generalised Eshelby integral and the generalised BCS and DB modelsvspace1mm

范蕾1, 范天佑2   

  1. (1)School of Life Science, Beijing Institute of Technology, Beijing 100081, China; (2)School of Science, Beijing Institute of Technology, Beijing 100081, China
  • 收稿日期:2010-10-29 修回日期:2010-11-25 出版日期:2011-03-15 发布日期:2011-03-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China(Grant Nos. 10372016 and 10672022).

The relation between the generalised Eshelby integral and the generalised BCS and DB modelsvspace1mm

Fan Tian-You (范天佑)a)† and Fan Lei(范蕾)b)   

  1. a School of Science, Beijing Institute of Technology, Beijing 100081, China; b School of Life Science, Beijing Institute of Technology, Beijing 100081, China
  • Received:2010-10-29 Revised:2010-11-25 Online:2011-03-15 Published:2011-03-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China(Grant Nos. 10372016 and 10672022).

摘要: The generalised BCS dislocation group model and the generalised DB atomic cohesive force zone model have obtained the same results on nonlinear fracture study of some one-, two- and three-dimensional quasicrystals. This work reveals some inherent connection between the two models, and finds that their common basis is the generalised Eshelby integral based on the generalised Eshelby energy--momentum tensor for quasicrystals. Further applications of the theory in solving nonlinear fracture problems of the materials are also discussed.

关键词: quasicrystals, crack, plasticity, generalised Eshelby integral

Abstract: The generalised BCS dislocation group model and the generalised DB atomic cohesive force zone model have obtained the same results on nonlinear fracture study of some one-, two- and three-dimensional quasicrystals. This work reveals some inherent connection between the two models, and finds that their common basis is the generalised Eshelby integral based on the generalised Eshelby energy--momentum tensor for quasicrystals. Further applications of the theory in solving nonlinear fracture problems of the materials are also discussed.

Key words: quasicrystals, crack, plasticity, generalised Eshelby integral

中图分类号: 

  • 61.44.Mr