On solution of elliptical interface crack problem. (English) Zbl 0989.74063

Shifrin, Efim I.; Brank, Boštjan

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

Keywords:

series solution; strain energy release rates; traction boundary pseudodifferential equations; analytical-numerical method; elliptical cracks