A variational approach via bipotentials for unilateral contact problems

DOI10.1016/j.jmaa.2012.07.065zbMath1314.74055OpenAlexW2061474123MaRDI QIDQ713470

Andaluzia Matei

Publication date: 29 October 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.07.065

zbMATH Keywords

weak solutionfrictionless unilateral contactsubdifferential inclusionbipotentialnonlinear elastic constitutive law

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators (35J86)

Related Items (6)

Two-field variational formulations for a class of nonlinear mechanical models ⋮ Weak solvability via bipotential method for contact models with nonmonotone boundary conditions ⋮ Weak solvability via bipotentials and approximation results for a class of bilateral frictional contact problems ⋮ Weak solutions for contact models involving a class of generalized materials ⋮ Weak solvability via bipotentials for contact problems with power-law friction ⋮ A variational approach via bipotentials for a class of frictional contact problems

Cites Work

• Convex functions, monotone operators and differentiability.
• Bipotentials for non-monotone multivalued operators: fundamental results and applications
• Plastic collapse in non-associated hardening materials with application to Cam-clay
• Weak solutions via bipotentials in mechanics of deformable solids
• Mathematical Models in Contact Mechanics
• Non maximal cyclically monotone graphs and construction of a bipotential for the Coulomb's dry friction law
• Matériaux viscoplastiques et lois de normalité implicites
• Sur l'endommagement et les matériaux standard implicites
• Convex functions and their applications. A contemporary approach
• Plasticity with nonlinear kinematic hardening: Modelling and shakedown analysis by the bipotential approach
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A variational approach via bipotentials for unilateral contact problems