History-dependent mixed variational problems in contact mechanics

DOI10.1007/s10898-014-0193-zzbMath1325.35219OpenAlexW2059357542MaRDI QIDQ2018509

Andaluzia Matei, Mircea Sofonea

Publication date: 24 March 2015

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-014-0193-z

zbMATH Keywords

weak solutionLagrange multipliervariational formulationfrictionless contactviscoplastic materialnormal complianceunilateral constrainthistory-dependent operatorhistory-dependent stiffness coefficientmixed variational problem

Mathematics Subject Classification ID

Variational inequalities (49J40) Contact in solid mechanics (74M15) Weak solutions to PDEs (35D30) PDEs in connection with mechanics of deformable solids (35Q74) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99) Unilateral problems for nonlinear PDEs of mixed type and variational inequalities with nonlinear partial differential operators of mixed type (35M86) Unilateral problems for mixed-type systems of PDEs and systems of variational inequalities with partial differential operators of mixed type (35M87)

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