CONTACT PROBLEMS FOR NONLINEARLY ELASTIC MATERIALS: WEAK SOLVABILITY INVOLVING DUAL LAGRANGE MULTIPLIERS

DOI10.1017/S1446181111000629zbMath1278.74128MaRDI QIDQ3094659

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Publication date: 25 October 2011

Published in: The ANZIAM Journal (Search for Journal in Brave)

zbMATH Keywords

weak solutionsnonlinearly elastic materialsdual Lagrange multiplierscontact models

Mathematics Subject Classification ID

Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Variational methods for elliptic systems (35J50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) PDEs in connection with mechanics of deformable solids (35Q74) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boundary value problems for second-order elliptic systems (35J57)

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Cites Work

• Models and analysis of quasistatic contact. Variational methods
• Variational inequalities with applications. A study of antiplane frictional contact problems
• A priori error estimates and an inexact primal-dual active set strategy for linear and quadratic finite elements applied to multibody contact problems
• A primal--dual active set strategy for nonlinear multibody contact problems
• A VARIATIONAL APPROACH FOR AN ELECTRO‐ELASTIC UNILATERAL CONTACT PROBLEM
• Mixed and Hybrid Finite Element Methods
• A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier
• Efficient Algorithms for Problems with Friction
• Computational Contact Mechanics
• An Optimal A Priori Error Estimate for Nonlinear Multibody Contact Problems
• Analysis and Approximation of Contact Problems with Adhesion or Damage

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