State of stress and strain of a small neighborhood of the apex of a wedge for a physical nonlinearity and different boundary conditions

DOI10.1016/0021-8928(87)90092-XzbMath0667.73080MaRDI QIDQ1117759

S. A. Grishin, V. M. Aleksandrov

Publication date: 1987

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

zbMATH Keywords

stream functionnonlinear differential equationAiry stress functionplane strain problemsaxisymmetric caseadhesion to a stiff flat stampCherepanov-Rice-Hutchinson methodflexible inextensible cover plateincompressible wedgeone face is freesmooth contact condition

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Contact in solid mechanics (74M15) Stress concentrations, singularities in solid mechanics (74G70) Asymptotic properties of solutions to ordinary differential equations (34D05) Brittle damage (74R05) Boundary value problems for ordinary differential equations (34B99) Theories of friction (tribology) (74A55)

Cites Work

• Unnamed Item
• Inverse problems of the plane theory of elasticity
• Plane strain deformation near a crack tip in a power-law hardening material
• Singular behaviour at the end of a tensile crack in a hardening material
• Crack propagation in continuous media

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