On the stress-strain state near a three-dimensional crack in a two- sheeted surface

DOI10.1016/0021-8928(90)90095-RzbMath0732.73051OpenAlexW1573374463MaRDI QIDQ808779

V. V. Sil'vestrov

Publication date: 1990

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(90)90095-r

zbMATH Keywords

constant coefficientmixed boundary-value problemsanalogy with the case of a single planeasymptotic form of the stresses and displacementsedge of a three-dimensional crackfundamental firstlimit scheme of a two-sheeted Riemannian surfaceRiemann boundary-value matrix problemsecondsolved explicitly by quadratures

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Plates (74K20) Fracture and damage (74R99) Boundary value problems in the complex plane (30E25) Dynamical problems in solid mechanics (74H99) Elastic materials (74B99) Singular integral equations (45E99) Riemann surfaces (30F99)

Related Items (1)

A genus-3 Riemann-Hilbert problem and diffraction of a wave by two orthogonal resistive half-planes

Cites Work

• Invariant \(\Gamma\)-integrals and some of their applications in mechanics
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