Page
%P
18 Result(s)
within
Mircea Sofonea
Engineering
-
Article
Convergence analysis for elliptic quasivariational inequalities
We deal with a class of elliptic quasivariational inequalities with constraints in a reflexive Banach space. We use arguments of monotonicity, convexity and compactness in order to prove a convergence criterio...
-
Article
Minimization arguments in analysis of variational–hemivariational inequalities
In this paper, an alternative approach is provided in the well-posedness analysis of elliptic variational–hemivariational inequalities in real Hilbert spaces. This includes the unique solvability and continuou...
-
Article
A Tykhonov-type well-posedness concept for elliptic hemivariational inequalities
In this paper, we introduce a new Tykhonov-type well-posedness concept for elliptic hemivariational inequalities, governed by an approximating function h. We characterize the well-posedness in terms of the metric...
-
Article
Optimal control for a class of mixed variational problems
The present paper concerns a class of abstract mixed variational problems governed by a strongly monotone Lipschitz continuous operator. With the existence and uniqueness results in the literature for the prob...
-
Article
Time-dependent inclusions and swee** processes in contact mechanics
We consider a class of time-dependent inclusions in Hilbert spaces for which we state and prove an existence and uniqueness result. The proof is based on arguments of variational inequalities, convex analysis ...
-
Article
History-Dependent Inequalities for Contact Problems with Locking Materials
We consider a class of history-dependent variational–hemivariational inequalities with constraints. Besides the unique solvability of the inequalities, we study the behavior of the solution with respect to the...
-
Article
Optimization problems for elastic contact models with unilateral constraints
The aim of this paper is to provide some results in the study of an abstract optimization problem in reflexive Banach spaces and to illustrate their use in the analysis and control of static contact problems w...
-
Article
Open AccessA Class of Variational-Hemivariational Inequalities in Reflexive Banach Spaces
We study a new class of elliptic variational-hemivariational inequalities in reflexive Banach spaces. An inequality in the class is governed by a nonlinear operator, a convex set of constraints and two nondiff...
-
Book
-
Chapter
A History-Dependent Variational-Hemivariational Inequality in Contact Mechanics
This chapter is closely related with Chap. 16 of this book. It deals with a mathematical model which describes the frictional contact between a viscoelastic body a...
-
Chapter
A Variational-Hemivariational Inequality in Contact Mechanics
This chapter deals with a new mathematical model for the frictional contact between an elastic body and a rigid foundation covered by a deformable layer made of soft material. We study the model in the form of...
-
Article
Convergence results for elliptic quasivariational inequalities
In this paper, we state and prove various convergence results for a general class of elliptic quasivariational inequalities with constraints. Thus, we prove the convergence of the solution of a class of penali...
-
Article
Open AccessModeling and analysis of a contact problem for a viscoelastic rod
We consider a nonlinear viscoelastic rod which is in contact with a foundation along its length and is in contact with an obstacle at its end. The rod is acted up by body forces and, as a result, its mechanica...
-
Chapter and Conference Paper
Variational Analysis of a Quasistatic Contact Problem
We start by proving an existence and uniqueness result for a new class of variational inequalities which arise in the study of quasistatic models of contact. The novelty lies in the special structure of these ...
-
Article
A mixed variational problem with applications in contact mechanics
We provide an existence result in the study of an abstract mixed variational problem which involves a history-dependent operator and two nondifferentiable functionals depending on the solution. The proof relie...
-
Chapter
Modelling of Piezoelectric Contact Problems
We consider a mathematical model which describes the frictional contact between an electro-viscoelastic body and a conductive foundation. The process is dynamic and the contact is modelled with normal complian...
-
Article
Analysis of lumped models with contact and friction
We consider two mathematical models that describe the vibrations of spring-mass-damper systems with contact and friction. In the first model, both the contact and frictional boundary conditions are described w...
-
Article
Some remarks on the behaviour of the solution in dynamic processes for rate-type models
This work examines a dynamic problem in the study of semilinear rate-type models for which the plastic rate of deformation depends also on a parameter κ. The continuous dependence of the solution with respect ...
