A class of nonlinear inclusions and sweeping processes in solid mechanics
type: Item
instance of: scholarly article
title: A class of nonlinear inclusions and sweeping processes in solid mechanics
author: Florent Nacry
author: Mircea Sofonea
published in: Acta Applicandae Mathematicae
publication date: 2021-06-25T00:00:00Z
Mathematics Subject Classification ID: 47J20
Mathematics Subject Classification ID: 47J22
Mathematics Subject Classification ID: 34G25
Mathematics Subject Classification ID: 58E35
Mathematics Subject Classification ID: 74M10
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 74G25
zbMATH DE Number: 7363541
zbMATH Keywords: nonlinear inclusion
zbMATH Keywords: sweeping process
zbMATH Keywords: history-dependent operator
zbMATH Keywords: viscoelastic material
zbMATH Keywords: contact problem
zbMATH Keywords: unilateral constraint
MaRDI profile type: Publication
full work available at URL: s10440-020-00380-4
OpenAlex ID: W3119508468
cites work: An Implicit Sweeping Process Approach to Quasistatic Evolution Variational Inequalities
cites work: Time-dependent inclusions and sweeping processes in contact mechanics
cites work: Existence of solutions to the nonconvex sweeping process
cites work: Sweeping process by prox-regular sets in Riemannian Hilbert manifolds
cites work: First and second order convex sweeping processes in reflexive smooth Banach spaces
cites work: Optimal control of a nonconvex perturbed sweeping process
cites work: Q3213509
cites work: The sweeping processes without convexity
cites work: Q4421517
cites work: Q4875402
cites work: BV solutions of nonconvex sweeping process differential inclusion with perturbation
cites work: Q4085497
cites work: Nonconvex differential variational inequality and state-dependent sweeping process
cites work: Perturbed sweeping process with a subsmooth set depending on the state
cites work: Positively \(\alpha\)-far sets and existence results for generalized perturbed sweeping processes
cites work: On parabolic quasi-variational inequalities and state-dependent sweeping processes
cites work: Convex functional analysis
cites work: Nonlinear inclusions and hemivariational inequalities. Models and analysis of contact problems
cites work: Well-Posedness of History-Dependent Sweeping Processes
cites work: Differential inclusions in nonsmooth mechanical problems. Shocks and dry friction
cites work: Q4112536
cites work: Q5657753
cites work: Evolution problem associated with a moving convex set in Hilbert space
cites work: Truncated nonconvex state-dependent sweeping process: implicit and semi-implicit adapted Moreau's catching-up algorithms
cites work: Q5151651
cites work: Q4323869
cites work: Q3702572
cites work: Q4846263
cites work: History-dependent inequalities for contact problems with locking materials
cites work: Mathematical models in contact mechanics
cites work: Q5358123
cites work: Sweeping process with regular and nonregular sets.
cites work: Sweeping process with unbounded nonconvex perturbation
cites work: Convergence of best approximations in a smooth Banach space
cites work: Q3825628
DOI: 10.1007/S10440-020-00380-4
Recommended article: Time-dependent inclusions and sweeping processes in contact mechanics
Recommended article: A sweeping process approach to inelastic contact problems with general inertia operators
Recommended article: Q3829150
Recommended article: Q3370177
Recommended article: Q4299987
Recommended article: Q4531596
Recommended article: Q3605324
Recommended article: On nonlinear inclusions in non-smooth domains
Recommended article: Finite-Time Stability of Polyhedral Sweeping Processes with Application to Elastoplastic Systems
Recommended article: Galerkin-like Method and Generalized Perturbed Sweeping Process with Nonregular Sets
description: scientific article; zbMATH DE number 7363541