Green’s Function for <em>T</em>-Stress of a Semi-Infinite Plane Crack

CUI Yuan-qing; YANG Wei; ZHONG Zheng

doi:10.3879/j.issn.1000-0887.2011.08.002

Volume 32 Issue 8

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CUI Yuan-qing, YANG Wei, ZHONG Zheng. Green’s Function for T-Stress of a Semi-Infinite Plane Crack[J]. Applied Mathematics and Mechanics, 2011, 32(8): 912-919. doi: 10.3879/j.issn.1000-0887.2011.08.002

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Green’s Function for T-Stress of a Semi-Infinite Plane Crack

doi: 10.3879/j.issn.1000-0887.2011.08.002

School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, P. R. China;
University Office, Zhejiang University, Hangzhou 310058, P. R. China

Received Date: 2010-07-21
Rev Recd Date: 2011-05-16
Publish Date: 2011-08-15

Abstract

Abstract

Green's function for the T-stress near a crack tip was addressed by an analytic function method for a semi-infinite crack lying in an elastical,isotropic,and infinite plate.The cracked plate was loaded by single inclined concentrated force at interior point.The complex potentials were obtained by a superpo sition principle,which provide the solutions to the plane problems of elasticity.The regular parts of the potentials were extracted by an asymptotic analysis.Based on the regular parts,Green's function for the T-stress was obtained in a straight-forward manner.Furthermore,Green's functions were derived for a pair of symmetrically and anti-symmetrically concentrated forces by the superimpo sing method.Then Green's function was used to predict the do ain-switch-induced T-stress in a ferroelectric double cantilever beam(DCB)test.The T-stress induced by the electro mechanical loading was used to judge the stable and unstable crack growth behaviors observed in the test.The prediction results roughly agree with the experimental data.
- Green’s function,
- T-stress,
- complex variable function,
- semi-infinite crack,
- fracture mechanics

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References(30)

References

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