On the treatment of nonlinear unilateral contact problems

DOI10.1007/BF00788917zbMath0767.73082OpenAlexW150006554WikidataQ64017447 ScholiaQ64017447MaRDI QIDQ1210029

Peter Wriggers, M. Imhof

Publication date: 16 May 1993

Published in: Archive of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00788917

zbMATH Keywords

penalty formulationfinite deformationstangent matrixGaussian pointsisoparametric contact elements

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Theories of friction (tribology) (74A55)

Related Items (10)

Time-discretized variational formulation of non-smooth frictional contact ⋮ Nonlinear analysis of structural elements under unilateral contact constraints by a Ritz-type approach ⋮ Geometric properties of 2D and 3D unilateral large slip contact operators ⋮ Frictionless Signorini's contact problem for hyperelastic materials with interior point optimizer ⋮ Three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS ⋮ Isogeometric large deformation frictionless contact using T-splines ⋮ Finite element analysis of nonsmooth contact ⋮ Constrained and unconstrained optimization formulations for structural elements in unilateral contact with an elastic foundation ⋮ A reproducing kernel smooth contact formulation for metal forming simulations ⋮ The constrained buckling problem of geometrically imperfect beams: a mathematical approach for the determination of the critical instability points

Cites Work

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• A two-level iteration method for solution of contact problems
• A mixed formulation for the finite element solution of contact problems
• A consistent tangent stiffness matrix for three-dimensional non-linear contact analysis
• A note on tangent stiffness for fully nonlinear contact problems
• Contact Mechanics
• A theory of penalty methods for finite element approximations of highly nonlinear problems in continuum mechanics

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