The relation between the generalised Eshelby integral and the generalised BCS and DB modelsvspace1mm |
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| Authors: | Fan Tian-You and Fan Lei |
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| Affiliation: | School of Science, Beijing Institute of Technology, Beijing 100081, China;School of Life Science, Beijing Institute of Technology, Beijing 100081, China |
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| 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. |
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| Keywords: | quasicrystals crack plasticity generalised Eshelby integral |
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