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    Wyświetlanie 1-5 z 5
    Tytuł:
    On the Solution of a Finite Element Approximation of a Linear Obstacle Plate Problem
    Autorzy:
    Fernandes, L. M.
    Figueiredo, I. N.
    Judice, J. J.
    Powiązania:
    https://bibliotekanauki.pl/articles/907894.pdf
    Data publikacji:
    2002
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    matematyka
    variational inequality
    complementarity problem
    contact problem
    Opis:
    In this paper the solution of a finite element approximation of a linear obstacle plate problem is investigated. A simple version of an interior point method and a block pivoting algorithm have been proposed for the solution of this problem. Special purpose implementations of these procedures are included and have been used in the solution of a set of test problems. The results of these experiences indicate that these procedures are quite efficient to deal with these instances and compare favourably with the path-following PATH and the active-set MINOS codes of the commercial GAMS collection
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2002, 12, 1; 27-40
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Unilateral Contact Applications Using Fem Software
    Autorzy:
    Stavroulaki, M. E.
    Stavroulakis, G. E.
    Powiązania:
    https://bibliotekanauki.pl/articles/907898.pdf
    Data publikacji:
    2002
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    matematyka
    nonsmooth analysis
    constrained optimization
    contact problem
    Opis:
    Nonsmooth analysis, inequality constrained optimization and variational inequalities are involved in the modelling of unilateral contact problems. The corresponding theoretical and algorithmic tools, which are part of the area known as nonsmooth mechanics, are by no means classical. In general purpose software some of these tools (perhaps in a simplified way) are currently available. Two engineering applications, a rubber-coated roller contact problem and a masonry wall, solved with MARC, are briefly presented, together with elements of the underlying theory.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2002, 12, 1; 115-125
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Topology optimization of quasistatic contact problems
    Autorzy:
    Myśliński, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/331424.pdf
    Data publikacji:
    2012
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    elastyczność
    optymalizacja topologiczna
    quasistatic contact problem
    elasticity
    Tresca friction
    topology optimization
    Opis:
    This paper deals with the formulation of a necessary optimality condition for a topology optimization problem for an elastic contact problem with Tresca friction. In the paper a quasistatic contact model is considered, rather than a stationary one used in the literature. The functional approximating the normal contact stress is chosen as the shape functional. The aim of the topology optimization problem considered is to find the optimal material distribution inside a design domain occupied by the body in unilateral contact with the rigid foundation to obtain the optimally shaped domain for which the normal contact stress along the contact boundary is minimized. The volume of the body is assumed to be bounded. Using the material derivative and asymptotic expansion methods as well as the results concerning the differentiability of solutions to quasistatic variational inequalities, the topological derivative of the shape functional is calculated and a necessary optimality condition is formulated.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2012, 22, 2; 269-280
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On The Two-Step Iterative Method of Solving Frictional Contact Problems in Elasticity
    Autorzy:
    Angelov, T. A.
    Liolios, A. A.
    Powiązania:
    https://bibliotekanauki.pl/articles/911138.pdf
    Data publikacji:
    2005
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    zagadnienie kontaktowe
    współczynnik tarcia
    metoda iteracyjna
    contact problem
    friction coefficient
    iterative method
    Opis:
    A class of contact problems with friction in elastostatics is considered. Under a certain restriction on the friction coefficient, the convergence of the two-step iterative method proposed by P.D. Panagiotopoulos is proved. Its applicability is discussed and compared with two other iterative methods, and the computed results are presented.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2005, 15, 2; 197-203
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A sign preserving mixed finite element approximation for contact problems
    Autorzy:
    Hild, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/907565.pdf
    Data publikacji:
    2011
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    nierówność wariacyjna
    zagadnienie kontaktowe
    metoda elementów skończonych
    variational inequality
    positive operator
    averaging operator
    contact problem
    Signorini problem
    mixed finite element method
    Opis:
    This paper is concerned with the frictionless unilateral contact problem (i.e., a Signorini problem with the elasticity operator). We consider a mixed finite element method in which the unknowns are the displacement field and the contact pressure. The particularity of the method is that it furnishes a normal displacement field and a contact pressure satisfying the sign conditions of the continuous problem. The a priori error analysis of the method is closely linked with the study of a specific positivity preserving operator of averaging type which differs from the one of Chen and Nochetto. We show that this method is convergent and satisfies the same a priori error estimates as the standard approach in which the approximated contact pressure satisfies only a weak sign condition. Finally we perform some computations to illustrate and compare the sign preserving method with the standard approach.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2011, 21, 3; 487-498
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-5 z 5

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