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A hypersingular boundary integral method for two-dimensional screen and crack problems. (English) Zbl 0725.73091
The two-dimensional hypersingular boundary integral equations defined over curved boundaries are discussed in detail for the Helmholtz and Navier equations (the latter is further extended to consider harmonic elastic waves). The existence, uniqueness and especially the regularity of the solutions are demonstrated including its local behaviour close to crack geometries.
The paper is highly recommended to those concerned with the application of boundary elements to fracture mechanics type of problems.

74S15 Boundary element methods applied to problems in solid mechanics
74R99 Fracture and damage
74J20 Wave scattering in solid mechanics
65R10 Numerical methods for integral transforms
74S30 Other numerical methods in solid mechanics (MSC2010)
Full Text: DOI
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