Time-dependent inclusions and sweeping processes in contact mechanics

DOI10.1007/s00033-019-1084-4zbMath1409.49008arXiv1903.05582OpenAlexW3104146572WikidataQ128442150 ScholiaQ128442150MaRDI QIDQ666613

Samir Adly, Mircea Sofonea

Publication date: 6 March 2019

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.05582

zbMATH Keywords

weak solutioncontact problemnonlinear inclusionunilateral constraintsweeping process

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Evolution inclusions (34G25) Variational inequalities (global problems) in infinite-dimensional spaces (58E35) Variational and other types of inclusions (47J22)

Related Items (11)

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 ⋮ Duality arguments in the analysis of a viscoelastic contact problem ⋮ Solution properties of convex sweeping processes with velocity constraints ⋮ Unnamed Item ⋮ A class of nonlinear inclusions and sweeping processes in solid mechanics ⋮ Weak formulations of quasistatic frictional contact problems ⋮ Implicit subdifferential inclusions with nonconvex-valued perturbations ⋮ Analysis and control of stationary inclusions in contact mechanics

Cites Work

• Variational inequalities and frictional contact problems
• Nonlinear inclusions and hemivariational inequalities. Models and analysis of contact problems
• Convex sweeping process in the framework of measure differential inclusions and evolution variational inequalities
• Evolution problem associated with a moving convex set in Hilbert space
• Convex functional analysis
• Advances in variational and hemivariational inequalities. Theory, numerical analysis, and applications
• Mathematical Models in Contact Mechanics
• Intersection of moving convex sets in a normed space.
• An Implicit Sweeping Process Approach to Quasistatic Evolution Variational Inequalities
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