Abstract
Semi-weight function method is developed to solve the plane problem of two bonded dissimilar materials containing a crack along the bond. From equilibrium equation, stress and strain relationship, conditions of continuity across interface and free crack surface, the stress and displacement fields were obtained. The eigenvalue of these fields is lambda. Semi-weight functions were obtained as virtual displacement and stress fields with eigenvalue-lambda. Integral expression of fracture parameters, KI and KII, were obtained from reciprocal work theorem with semi-weight functions and approximate displacement and stress values on any integral path around crack tip. The calculation results of applications show that the semi-weight function method is a simple, convenient and high precision calculation method.
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Communicated by DUAN Zhu-ping, Original Member of Editorial Committee, AMM
Foundation item: the National Natural Science Foundation of China (19872066)
Biography: MA Kai-ping (1974≈)
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Kai-ping, M., Chun-tu, L. Semi-weight function method on computation of stress intensity factors in dissimilar materials. Appl Math Mech 25, 1241–1248 (2004). https://doi.org/10.1007/BF02438279
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DOI: https://doi.org/10.1007/BF02438279
Key words
- dissimilar material
- interface crack
- stress intensity factor
- semi-weight function method
- plane fracture problem