Formulation and comparison of algorithms for frictional contact problems

DOI<145::AID-NME358>3.0.CO;2-L 10.1002/(SICI)1097-0207(19980515)42:1<145::AID-NME358>3.0.CO;2-LzbMath0917.73063OpenAlexW2118979432MaRDI QIDQ4216233

Jong-Shi Pang, Niclas Strömberg, Peter W. Christensen, Anders Klarbring

Publication date: 21 October 1998

Full work available at URL: https://doi.org/10.1002/(sici)1097-0207(19980515)42:1<145::aid-nme358>3.0.co;2-l

zbMATH Keywords

Coulomb friction interior point method Newton method complementarity conditions projection operator B-differentiable equations smooth constrained equations

Mathematics Subject Classification ID

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

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Cites Work