This paper deals with linear elastic fracture problems for a planar crack on an interface between two dissimilar elastic half-space solids bonded together. The finite-part integral concept is used to derive hypersingular integro-differential equations for the interfacial crack from the point-force solutions for a bimaterial space. Investigations on the singularities and the singular stress fields in the vicinity of the crack are made by the dominant-part analysis of the two-dimensional hypersingular integrals. Thereafter the stress intensity factor K-fields and the energy release rate G are exactly obtained by using the definitions of stress intensity factors and the principle of virtual work, respectively. The results show that, unlike the homogenous case, the asymptotic fields always consist of all three modes of fracture. Finally, some numerical examples of various aspects of elliptical cracks subjected to constant pressures are given.
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December 1999
Technical Papers
Application of Finite-Part Integrals to Planar Interfacial Fracture Problems in Three-Dimensional Bimaterials
M.-C. Chen,
M.-C. Chen
Department of Mechanical Engineering, East China Jiaotong University, Nanchang 330013, Jiangxi, P.R. China
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N.-A. Noda,
N.-A. Noda
Department of Mechanical Engineering, Kyushu Institute of Technology, Kitakyushu 804-8550, Japan
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R.-J. Tang
R.-J. Tang
Department of Engineering Mechanics, Shanghai Jiao Tong University, Shanghai 200030, P.R. China
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M.-C. Chen
Department of Mechanical Engineering, East China Jiaotong University, Nanchang 330013, Jiangxi, P.R. China
N.-A. Noda
Department of Mechanical Engineering, Kyushu Institute of Technology, Kitakyushu 804-8550, Japan
R.-J. Tang
Department of Engineering Mechanics, Shanghai Jiao Tong University, Shanghai 200030, P.R. China
J. Appl. Mech. Dec 1999, 66(4): 885-890 (6 pages)
Published Online: December 1, 1999
Article history
Received:
September 23, 1998
Revised:
February 19, 1999
Online:
October 25, 2007
Citation
Chen, M., Noda, N., and Tang, R. (December 1, 1999). "Application of Finite-Part Integrals to Planar Interfacial Fracture Problems in Three-Dimensional Bimaterials." ASME. J. Appl. Mech. December 1999; 66(4): 885–890. https://doi.org/10.1115/1.2791793
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