Wszystkie pola: contact problem - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: A viscoelastic contact problem with normal damped response and friction
Autorzy:: Awbi, B.
Essoufi, El H.
Sofonea, M.
Powiązania:: https://bibliotekanauki.pl/articles/1207854.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: variational problem
monotone operator
frictional contact
viscoelastic material
normal damped response
fixed point
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.
Źródło:: Annales Polonici Mathematici; 2000, 75, 3; 233-246
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Numerical analysis of a frictional contact problem for thermo-electro-elastic materials
Autorzy:: Ouafik, Youssef
Powiązania:: https://bibliotekanauki.pl/articles/2055046.pdf
Data publikacji:: 2020
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: thermo-electro-elastic material
frictional contact
Finite Element Method
error
estimate
numerical simulations
Opis:: A numerical method is presented for a mathematical model which describes the frictional contact between a thermo-electro-elastic body and a conductive foundation. The contact is described by Signorini’s conditions and Tresca’s friction law including electrical and ther- mal conductivity conditions. Our aim is to present a detailed description of the numerical modelling of the problem. To this end, we introduce a discrete scheme based on the finite element method. Under some regularity assumptions imposed on the true solution, optimal order error estimates are derived for the linear element solution. This theoretical result is illustrated numerically.
Źródło:: Journal of Theoretical and Applied Mechanics; 2020, 58, 3; 673--683
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Analysis and numerical approximation of an elastic frictional contact problem with normal compliance
Autorzy:: Han, Weimin
Sofonea, Mircea
Powiązania:: https://bibliotekanauki.pl/articles/1338688.pdf
Data publikacji:: 1999
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: normal compliance
finite element approximation
Coulomb's law
error estimates
frictional contact
variational inequality
fixed point
Opis:: We consider the problem of frictional contact between an elastic body and an obstacle. The elastic constitutive law is assumed to be nonlinear. The contact is modeled with normal compliance and the associated version of Coulomb's law of dry friction. We present two alternative yet equivalent weak formulations of the problem, and establish existence and uniqueness results for both formulations using arguments of elliptic variational inequalities and fixed point theory. Moreover, we show the continuous dependence of the solution on the contact conditions. We also study the finite element approximations of the problem and derive error estimates. Finally, we introduce an iterative method to solve the resulting finite element system.
Źródło:: Applicationes Mathematicae; 1999, 26, 4; 415-435
1233-7234
Pojawia się w:: Applicationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Numerical modelling of a dynamic contact problem with normal damped response and unilateral constraint
Autorzy:: Barboteu, M.
Ouafik, Y.
Sofonea, M.
Powiązania:: https://bibliotekanauki.pl/articles/281115.pdf
Data publikacji:: 2018
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: dynamic contact
viscoelastic material
frictional contact
normal damped response
unilateral constraint
penalty method
numerical simulations
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.
Źródło:: Journal of Theoretical and Applied Mechanics; 2018, 56, 2; 483-496
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

Artykuł

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