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    Wyświetlanie 1-4 z 4
    Tytuł:
    Stick-Slip Contact Problem of Two Half Planes with a Local Recess
    Autorzy:
    Malanchuk, N.
    Kaczyński, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/386247.pdf
    Data publikacji:
    2011
    Wydawca:
    Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
    Tematy:
    tarcie
    zagadnienie kontaktowe
    prawo Amontona-Coulomba
    friction
    contact problem
    Amonton-Coulomb law
    Opis:
    A plane problem of frictional contact interaction between two elastic isotropic half planes one of which possesses a single shallow recess (depression) is examined in the case of successive application of remote constant normal and shear forces. The loads steps (compression, and next monotonically increasing shear loads) lead to the main contact problem with an unknown stick-slip boundary determined by the Amonton-Coulomb law. It is reduced to a Cauchy-type singular integral equation for the tangential displacement jump in the unknown sliding region. Its size is derived from an additional condition of finiteness of shear stresses at the edges of the slip zone. Considerations are carried out for some general shape of the recess. Analytical results with the characterization of the considered contact are given and illustrated for the certain form of the initial recess.
    Źródło:
    Acta Mechanica et Automatica; 2011, 5, 4; 76-81
    1898-4088
    2300-5319
    Pojawia się w:
    Acta Mechanica et Automatica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    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
    Tytuł:
    On Finite Element Uniqueness Studies for Coulombs Frictional Contact Model
    Autorzy:
    Hild, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/907890.pdf
    Data publikacji:
    2002
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    element skończony
    Coulomb's friction law
    finite elements
    mesh-size dependent uniqueness conditions
    non-uniqueness example
    Opis:
    We are interested in the finite element approximation of Coulomb's frictional unilateral contact problem in linear elasticity. Using a mixed finite element method and an appropriate regularization, it becomes possible to prove existence and uniqueness when the friction coefficient is less than C varepsilon2 |log(h)|{-1}, where h and varepsilon denote the discretization and regularization parameters, respectively. This bound converging very slowly towards 0 when h decreases (in comparison with the already known results of the non-regularized case) suggests a minor dependence of the mesh size on the uniqueness conditions, at least for practical engineering computations. Then we study the solutions of a simple finite element example in the non-regularized case. It can be shown that one, multiple or an infinity of solutions may occur and that, for a given loading, the number of solutions may eventually decrease when the friction coefficient increases.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2002, 12, 1; 41-50
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Variational Analysis of a Frictional Contact Problem for the Bingham Fluid
    Autorzy:
    Awbi, B.
    Selmani, L.
    Sofonea, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/908296.pdf
    Data publikacji:
    1999
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    płyn binghamowski
    prawo Coulomba
    nierówność wariacyjna
    rozwiązanie słabe
    Bingham fluid
    damped response
    Coulomb's friction law
    quasi-variational inequality
    weak solution
    Opis:
    We consider a mathematical model which describes the flow of a Bingham fluid with friction. We assume a stationary flow and we model the contact with damped response and a local version of Coulomb's law of friction.The problem leads to a quasi-variational inequality for the velocity field. We establish the existence of a weak solution and, under additional assumptions, its uniqueness. The proofs are based on a new result obtained in (Motreanu and Sofonea, 1999). We also establish the continuous dependence of the solution with respect to the contact conditions.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 1999, 9, 2; 371-385
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-4 z 4

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