Interior penalty methods for finite element approximations of the Signorini problem in elastostatics

DOI10.1016/0898-1221(82)90038-4zbMath0473.73077OpenAlexW2157356527MaRDI QIDQ1158795

S. H. Smith

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0898-1221(82)90038-4

zbMATH Keywords

a priori error estimatesequilibrium of linearly elastic bodyexistence and uniqueness of minimizing elementidentation of rigid punchin contact with rigid frictionless foundation

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Dynamical problems in solid mechanics (74H99) Elastic materials (74B99) Theories of friction (tribology) (74A55)

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Numerical solving of frictionless contact problems in perfectly plastic bodies, An interior point method for isogeometric contact, Frictionless Signorini's contact problem for hyperelastic materials with interior point optimizer, Penalty and regularization method for variational‐hemivariational inequalities with application to frictional contact, Residual a posteriori error estimation for frictional contact with Nitsche method, A displacement‐driven approach to frictional contact mechanics, An improved normal compliance method for dynamic hyperelastic problems with energy conservation property, An energy-consistent discretization of hyper-viscoelastic contact models for soft tissues, Inexact primal-dual active set method for solving elastodynamic frictional contact problems, Local and global injective solution of the rotationally symmetric sphere problem, Contribution to free boundary problems using boundary elements: Trefftz approach, Unified primal-dual active set method for dynamic frictional contact problems, Generalized potentials in finite elastoplasticity

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