Partitioned formulation of frictional contact problems using localized Lagrange multipliers

DOI10.1002/cnm.821zbMath1144.74026OpenAlexW2089554079MaRDI QIDQ5467025

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Publication date: 23 May 2006

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.821

zbMATH Keywords

finite element methoddisplacement frameinterface meshes

Mathematics Subject Classification ID

Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (6)

A formulation based on localized Lagrange multipliers for BEM-FEM coupling in contact problems ⋮ An interface-enriched generalized finite element formulation for locking-free coupling of non-conforming discretizations and contact ⋮ A new approach for nonmatching interface construction by the method of localized Lagrange multipliers ⋮ Bi-penalty stabilized technique with predictor-corrector time scheme for contact-impact problems of elastic bars ⋮ Partitioned vibration analysis of internal fluid-structure interaction problems ⋮ The d'Alembert-Lagrange principal equations and applications to floating flexible systems

Cites Work

• A perturbed Lagrangian formulation for the finite element solution of contact problems
• A mixed formulation for the finite element solution of contact problems
• A mixed formulation for frictional contact problems prone to Newton like solution methods
• A mortar segment-to-segment contact method for large deformation solid mechanics.
• A localized version of the method of Lagrange multipliers and its applications
• Newton's Method for B-Differentiable Equations
• An augmented lagrangian treatment of contact problems involving friction
• A simple algorithm for localized construction of non-matching structural interfaces
• A contact formulation based on localized Lagrange multipliers: formulation and application to two-dimensional problems

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