Solution of contact problem using the \(hp\)-version of the finite element method

DOI10.1016/S0898-1221(99)00261-8zbMath0959.74069MaRDI QIDQ1972463

Tamás T. Szabó, Barna A. Szabó, István Páczelt

Publication date: 2 May 2001

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

elasticityaugmented Lagrangian technique\(p\)-version of finite element method\(hp\)-version of finite element methodminor iterative modification of meshtwo-dimensional contact problems

Mathematics Subject Classification ID

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

Related Items

High-order mortar-based element applied to nonlinear analysis of structural contact mechanics ⋮ COMPUTATIONAL CONTACT MECHANICS BASED ON THE rp-VERSION OF THE FINITE ELEMENT METHOD ⋮ Solution of wear problems for monotonic and periodic sliding with \(p\)-version of finite element method ⋮ On some aspects for contact with rigid surfaces: surface-to-rigid surface and curves-to-rigid surface algorithms ⋮ Solution of contact optimization problems of cylindrical bodies using hp‐FEM ⋮ Weak imposition of frictionless contact constraints on automatically recovered high-order, embedded interfaces using the finite cell method ⋮ Complementarity problems in structural engineering: an overview ⋮ High-order mortar-based contact element using NURBS for the mapping of contact curved surfaces ⋮ Error estimates and adaptive finite element methods ⋮ A comparison of the \(h\)-, \(p\)-, \(hp\)-, and \(rp\)-version of the FEM for the solution of the 2D Hertzian contact problem ⋮ Incorporation of contact for high-order finite elements in covariant form

Uses Software

• CONTACT

Cites Work

• Application of the space enrichment method to problems of mechanical contact
• Three-dimensional elastic bodies in rolling contact
• Stiffness matrix integration rules for contact-friction finite elements
• A finite element method for a class of contact-impact problems
• Theory and approximation of quasistatic frictional contact problems
• An augmented lagrangian treatment of contact problems involving friction
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