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On solution of elliptical interface crack problem. (English) Zbl 0989.74063
Ramm, A. G. (ed.) et al., Operator theory and its applications. Proceedings of the international conference, Winnipeg, Canada, October 7-11, 1998. Providence, RI: American Mathematical Society (AMS). Fields Inst. Commun. 25, 485-496 (2000).
Summary: We study the problem of crack of elliptical shape located between two bonded dissimilar elastic half-spaces and subjected to arbitrary loads. A solution is obtained by using the corresponding traction boundary pseudodifferential equations. Resulting equations are then solved by means of an analytical-numerical method. Strain energy release rates along the crack contours are presented for elliptical cracks with different ratios of semiaxes, and for half-spaces with different ratios of elastic constants. For special cases the results are compared with available exact solutions.
For the entire collection see [Zbl 0943.00054].
MSC:
74R10 Brittle fracture
74G10 Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics
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