A Dugdale–Barenblatt model for a strip with a semi-infinite crack embedded in decagonal quasicrystals

doi:10.1088/1674-1056/22/3/036201

中国物理B ›› 2013, Vol. 22 ›› Issue (3): 36201-036201.doi: 10.1088/1674-1056/22/3/036201

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇下一篇

A Dugdale–Barenblatt model for a strip with a semi-infinite crack embedded in decagonal quasicrystals

李梧^{a b}, 解凌云^b

a School of Science, Taiyuan University of Technology, Taiyuan 030024, China;
b Department of Physics, Beijing Institute of Technology, Beijing 100081, China

收稿日期:2012-05-01 修回日期:2012-06-18 出版日期:2013-02-01 发布日期:2013-02-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 10972035).

A Dugdale–Barenblatt model for a strip with a semi-infinite crack embedded in decagonal quasicrystals

Li Wu (李梧)^{a b}, Xie Ling-Yun (解凌云)^b

a School of Science, Taiyuan University of Technology, Taiyuan 030024, China;
b Department of Physics, Beijing Institute of Technology, Beijing 100081, China

Received:2012-05-01 Revised:2012-06-18 Online:2013-02-01 Published:2013-02-01
Contact: Li Wu E-mail:liwu823210@yahoo.com.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 10972035).

摘要/Abstract

摘要： The present study is to determine the solution of a strip with a semi-infinite crack embedded in decagonal quasicrystals, which transforms a physically and mathematically daunting problem. Then cohesive forces are incorporated into a plastic strip in the elastic body for nonlinear deformation. By superposing the two linear elastic fields, one is evaluated with internal loadings and the other with cohesive forces, the problem is treated in Dugdale-Barenblatt manner. A simple but yet rigorous version of the complex analysis theory is employed here, which involves conformal mapping technique. The analytical approach leads to the establishment of a few equations, which allows the exact calculation of the size of cohesive force zone and the most important physical quantity in crack theory: stress intensity factor. The analytical results of the present study may be used as the basis of fracture theory of decagonal quasicrystals.

关键词: quasicrystals, conformal mapping, Dugdale-Barenblatt model, stress intensity factor

Abstract: The present study is to determine the solution of a strip with a semi-infinite crack embedded in decagonal quasicrystals, which transforms a physically and mathematically daunting problem. Then cohesive forces are incorporated into a plastic strip in the elastic body for nonlinear deformation. By superposing the two linear elastic fields, one is evaluated with internal loadings and the other with cohesive forces, the problem is treated in Dugdale–Barenblatt manner. A simple but yet rigorous version of the complex analysis theory is employed here, which involves conformal mapping technique. The analytical approach leads to the establishment of a few equations, which allows the exact calculation of the size of cohesive force zone and the most important physical quantity in crack theory: stress intensity factor. The analytical results of the present study may be used as the basis of fracture theory of decagonal quasicrystals.

Key words: quasicrystals, conformal mapping, Dugdale–Barenblatt model, stress intensity factor

中图分类号: (Elasticity)

62.20.D-

61.44.Br (Quasicrystals) 62.20.M- (Structural failure of materials)

李梧, 解凌云. A Dugdale–Barenblatt model for a strip with a semi-infinite crack embedded in decagonal quasicrystals[J]. 中国物理B, 2013, 22(3): 36201-036201.

Li Wu (李梧), Xie Ling-Yun (解凌云). A Dugdale–Barenblatt model for a strip with a semi-infinite crack embedded in decagonal quasicrystals[J]. Chin. Phys. B, 2013, 22(3): 36201-036201.

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A Dugdale–Barenblatt model for a strip with a semi-infinite crack embedded in decagonal quasicrystals

A Dugdale–Barenblatt model for a strip with a semi-infinite crack embedded in decagonal quasicrystals

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