Temat: normal damped response

Skocz do pozycji: 1.

Tytuł:: A viscoelastic contact problem with normal damped response and friction
Autorzy:: Awbi, B.
Essoufi, El H.
Sofonea, M.
Tematy:: variational problem
monotone operator
frictional contact
viscoelastic material
normal damped response
fixed point; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Powiązania:: https://bibliotekanauki.pl/articles/1207854.pdf Link otwiera się w nowym oknie
Opis:: We study an evolution problem which describes the quasistatic contact of a viscoelastic body with a foundation. We model the contact with normal damped response and a local friction law. We derive a variational formulation of the model and we establish the existence of a unique weak solution to the problem. The proof is based on monotone operators and fixed point arguments. We also establish the continuous dependence of the solution on the contact boundary conditions.
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: A new class of hyperbolic variational-hemivariational inequalities driven by nonlinear evolution equations
Autorzy:: Migórski, Stanisław
Zeng, Shengda
Han, Weimin
Opis:: The aim of the paper is to introduce and investigate a dynamical system which consists of avariational–hemivariational inequality of hyperbolic type combined with a non-linear evolutionequation. Such a dynamical system arises in studies of complicated contact problems in mechan-ics. Existence, uniqueness and regularity of a global solution to the system are established. Theapproach is based on a new semi-discrete approximation with an application of a surjectivity resultfor a pseudomonotone perturbation of a maximal monotone operator. A new dynamic viscoelasticfrictional contact model with adhesion is studied as an application, in which the contact boundarycondition is described by a generalised normal damped response condition with unilateral constraintand a multivalued frictional contact law.
Dostawca treści:: Repozytorium Uniwersytetu Jagiellońskiego

Artykuł

Skocz do pozycji: 3.

Tytuł:: Numerical modelling of a dynamic contact problem with normal damped response and unilateral constraint
Autorzy:: Barboteu, M.
Ouafik, Y.
Sofonea, M.
Tematy:: dynamic contact
viscoelastic material
frictional contact
normal damped response
unilateral constraint
penalty method
numerical simulations; Pokaż więcej
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Powiązania:: https://bibliotekanauki.pl/articles/281115.pdf Link otwiera się w nowym oknie
Opis:: We consider a mathematical model which describes the dynamic evolution of a viscoelastic body in frictional contact with an obstacle. The contact is modelled with normal damped response and unilateral constraint for the velocity field, associated to a version of Coulomb’s law of dry friction. Our aim is to present a detailed description of the numerical modelling of the problem. To this end, we use a penalty method to approximate the constraint. Then, we provide numerical simulations in the study of a two-dimensional example and compare the penalty model with the original one.
Dostawca treści:: Biblioteka Nauki

Artykuł

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