Variational method of investigation of three-dimensional mixed problems of a plane cut in an elastic medium in the presence of slip and adhesion of its surfaces

DOI10.1016/0021-8928(83)90011-4zbMath0545.73010OpenAlexW1972523846MaRDI QIDQ797337

R. V. Gol'dshtejn, Alexander A. Spector

Publication date: 1984

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(83)90011-4

zbMATH Keywords

existenceuniquenessmathematical programmingintegral characteristicsqualitative behaviouranti-symmetric body-or surface forcesequilibrium of an elastic spaceequivalent variational statement of input boundary value problemplane cutregions of local adhesion and slippage

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Contact in solid mechanics (74M15) Dynamical problems in solid mechanics (74H99) Brittle damage (74R05) Elastic materials (74B99) Theories of friction (tribology) (74A55)

Related Items (3)

Plane cracks in a transversely isotropic layer ⋮ A strip cut in a transversely isotropic elastic solid ⋮ A numerical-analytical algorithm for solving crack problems

Cites Work

• On the theory of contact problems taking account of friction on the contact surface
• On the local axisymmetric compression of an elastic layer weakened by an annular or circular crack
• Inverse problems of the plane theory of elasticity
• Asymptotic methods in contact problems with nonlinear friction
• The effect of cracks on the uniaxial elastic compression of rocks
• THE PENNY-SHAPED CRACK ON AN INTERFACE
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