Primal and dual variational formulation of a frictional contact problem
From MaRDI portal
Publication:277042
DOI10.1007/s00009-014-0504-0zbMath1335.74048OpenAlexW1980632132MaRDI QIDQ277042
David Danan, Mircea Sofonea, Cong Zheng
Publication date: 4 May 2016
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-014-0504-0
weak solutionfrictional contactvariational inequalitydual variational formulationelastic materialnormal complianceprimal variational formulationunilateral constraint
Variational inequalities (49J40) Contact in solid mechanics (74M15) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)
Related Items
A class of subdifferential inclusions for elastic unilateral contact problems ⋮ Subdifferential inclusions for stress formulations of unilateral contact problems ⋮ A mixed variational formulation of a contact problem with adhesion ⋮ Optimal Control of Quasivariational Inequalities with Applications to Contact Mechanics ⋮ A quasistatic frictional contact problem with normal compliance and unilateral constraint ⋮ Convergence results for primal and dual history-dependent quasivariational inequalities ⋮ Optimization problems for elastic contact models with unilateral constraints ⋮ On a new computational algorithm for impacts of elastic bodies.
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear inclusions and hemivariational inequalities. Models and analysis of contact problems
- Models and computational methods for dynamic friction phenomena
- Frictional contact problems with normal compliance
- Solution of variational inequalities in mechanics
- Models and analysis of quasistatic contact. Variational methods
- Dual formulation of a viscoplastic contact problem with unilateral constraint
- Mathematical Models in Contact Mechanics
- Dual formulation of a quasistatic viscoelastic contact problem with tresca's friction law
- On friction problems with normal compliance
- Existence and uniqueness results for dynamic contact problems with nonlinear normal and friction interface laws
- Analysis of a contact problem with unilateral constraint and slip-dependent friction
- ANALYSIS OF A CONTACT PROBLEM WITH NORMAL COMPLIANCE, FINITE PENETRATION AND NONMONOTONE SLIP DEPENDENT FRICTION
- On the solvability of dynamic elastic‐visco‐plastic contact problems