On an approach to the investigation of the Signorini problem using the idea of duality

DOI10.1016/0021-8928(82)90087-9zbMath0506.73101OpenAlexW2150522361MaRDI QIDQ1837033

V. Ya. Tereshchenko

Publication date: 1982

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(82)90087-9

zbMATH Keywords

error estimatesSignorini problemapproximate solutionsboundary functionalsunilateral boundary value problemsconvex closed sets of functionsreciprocal variational problemsreciprocity relationship

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Duality theory (optimization) (49N15) Dynamical problems in solid mechanics (74H99) Elastic materials (74B99) Theories of friction (tribology) (74A55)

Related Items (3)

On certain formulations of the boundary-elements method ⋮ On the algorithm of the solution of the Signorini problem ⋮ Mixed spatial problems of elasticity theory with a circular line separating the boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Formulation of the problem of contact between several deformable bodies as a nonlinear programming problem
• Duality in contact problems
• Method of orthogonal expansions on the domain boundary in three- dimensional problems of the linear theory of elasticity
• On the theory of contact problems taking account of friction on the contact surface
• On the convex functionals analogous to the generalized Trefftz functionals in variational problems of the theory of elasticity
• Existence Theorems in Linear and Semi-Linear Elasticity

This page was built for publication: On an approach to the investigation of the Signorini problem using the idea of duality