Solution of the problem of stress concentration around intersecting defects by using the Riemann problem with an infinite index

DOI10.1016/0021-8928(87)90113-4zbMath0661.73011OpenAlexW2034506244MaRDI QIDQ1113716

G. Ya. Popov, S. I. Yatsko, Yuri A. Antipov

Publication date: 1987

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(87)90113-4

zbMATH Keywords

plane probleminfinite indexbiharmonic operatorsharmonicdiscontinuous boundary value problemsfixed singularitystress intensity coefficientscruciform slitFredholm integral equation on a segmentGamma-shaped slitgeneralized method of integral transformsminus-infinity indexplus-infinity indexRiemann problem with zero indexsingularity in the solutiontwo successively solvable scalar Riemann problems

Mathematics Subject Classification ID

Systems of singular linear integral equations (45F15) Inhomogeneity in solid mechanics (74E05) Stress concentrations, singularities in solid mechanics (74G70) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (2)

Vector Semi-Fredholm Toeplitz Operators and Mean Winding Numbers ⋮ Annular and circular rigid inclusions planted into a penny-shaped crack and factorization of triangular matrices

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