A class of nonlinear inclusions and sweeping processes in solid mechanics

DOI10.1007/s10440-020-00380-4OpenAlexW3119508468MaRDI QIDQ2035839

Florent Nacry, Mircea Sofonea

Publication date: 25 June 2021

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-020-00380-4

zbMATH Keywords

contact problemviscoelastic materialnonlinear inclusionunilateral constrainthistory-dependent operatorsweeping process

Mathematics Subject Classification ID

Related Items (9)

Analysis and control of an electro-elastic contact problem ⋮ History-dependent operators and prox-regular sweeping processes ⋮ A History-Dependent Inclusion with Applications in Contact Mechanics ⋮ A differential equation approach to evolutionary quasi-variational inequalities arising in contact problems ⋮ Solution properties of convex sweeping processes with velocity constraints ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Weak formulations of quasistatic frictional contact problems ⋮ Analysis and control of stationary inclusions in contact mechanics

Cites Work

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• On parabolic quasi-variational inequalities and state-dependent sweeping processes
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• Convex functional analysis
• Sweeping process by prox-regular sets in Riemannian Hilbert manifolds
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• An Implicit Sweeping Process Approach to Quasistatic Evolution Variational Inequalities
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