| Green’s function for T-stress of semi-infinite plane crack |
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| 引用本文： | 崔元庆,杨卫,仲政.Green’s function for T-stress of semi-infinite plane crack[J].应用数学和力学(英文版),2011,32(8):973-980. |
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| 作者姓名： | 崔元庆 杨卫 仲政 |
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| 作者单位： | School of Aerospace Engineering and Applied Mechanics Tongji University;Office of the Presidents Zhejiang University; |
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| 基金项目： | Project supported by the National Natural Science Foundation of China(Nos.10702071 and 11090334); the China Postdoctoral Science Foundation(No.201003281); the Shanghai Postdoctoral Scientific Program(No.10R21415800); the Shanghai Leading Academic Discipline Project(No.B302); sponsored by the“Sino-German Center for Research Promotion”under a project of“Crack Growth in Ferroelectrics Driven by Cyclic Electric Loading” |
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| 摘 要： | Green’s function for the T-stress near a crack tip is addressed with an analytic function method for a semi-infinite crack lying in an elastical, isotropic, and infinite plate. The cracked plate is loaded by a single inclined concentrated force at an interior point. The complex potentials are obtained based on a superposition principle, which provide the solutions to the plane problems of elasticity. The regular parts of the potentials are extracted in an asymptotic analysis. Based on the regular parts, Gre...
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| 关 键 词： | Green’s function T-stress complex variable function semi-infinite crack fracture mechanics |
Green’s function for <Emphasis Type="Italic">T</Emphasis>-stress of semi-infinite plane crack |
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| Yuan-qing Cui,Wei Yang,Zheng Zhong.Green’s function for T-stress of semi-infinite plane crack[J].Applied Mathematics and Mechanics(English Edition),2011,32(8):973-980. |
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| Authors: | Yuan-qing Cui Wei Yang Zheng Zhong |
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| Institution: | 1. School of Aerospace Engineering and Applied Mechanics, Tongji University,Shanghai 200092, P. R. China
2. Office of the Presidents, Zhejiang University, Hangzhou 310058, P. R. China |
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| Abstract: | Green’s function for the T-stress near a crack tip is addressed with an analytic function method for a semi-infinite crack lying in an elastical, isotropic,
and infinite plate. The cracked plate is loaded by a single inclined concentrated force at an interior point. The complex
potentials are obtained based on a superposition principle, which provide the solutions to the plane problems of elasticity.
The regular parts of the potentials are extracted in an asymptotic analysis. Based on the regular parts, Green’s function
for the T-stress is obtained in a straightforward manner. Furthermore, Green’s functions are derived for a pair of symmetrically and
anti-symmetrically concentrated forces by the superimposing method. Then, Green’s function is used to predict the domain-switchinduced
T-stress in a ferroelectric double cantilever beam (DCB) test. The T-stress induced by the electromechanical loading is used to judge the stable and unstable crack growth behaviors observed
in the test. The prediction results generally agree with the experimental data. |
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| Keywords: | Green's function T-stress complex variable function semi-infinite crack fracture mechanics |
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