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Duality method in limit analysis problem of non-linear elasticity

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Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Konferencja
International Workshop on the Trefftz Method (3 ; 16-18.09. 2002 ; Exeter, England)
Języki publikacji
EN
Abstrakty
EN
The limit analysis problem (LAP) for estimation of mechanical durability for non-linear elastic solids is examined. The appropriate dual problem is formulated. After the standard piecewise linear continuous finite-element approximation, the dual LAP is transformed into the problem of mathematical programming with linear limitations as equalities. This finite dimensional problem is solved by the standard method of gradient projection.
Rocznik
Strony
385--387
Opis fizyczny
Bibliogr. 17 poz., tab.
Twórcy
  • Department of Computer Science, North-Western State Technical University Milionnay 5, St. Petersburg, 191186, Russia
Bibliografia
  • [1] G.M. Bartenev and Yu.V. Zelenev. A course in the physics of polimers (in Russian). Chemistry, Leningrad, 1976.
  • [2] I.A. Brigadnov. On the existence of a limiting load in some problems of hyperelasticity. Mech. of Solids, 5: 46-51, 1993.
  • [3] I.A. Brigadnov. Existence theorems for boundary value problems of hyperelasticity. Sbornik: Mathematics, 187(1): 1-14, 1996.
  • [4] I.A. Brigadnov. On mathematical correctness of static boundary value problems for hyperelastic materials. Mech. of Solids, 6: 37-46, 1996.
  • [5] I.A. Brigadnov. Numerical methods in non-linear elasticity. In J.-A. Desideri, P. Le Tallec, E. Onate, J. Periaux, and E. Stein, eds., Numerical Methods in Engineering'96, pages 158-163, Chichester, 1996. John Wiley & Sons Ltd.
  • [6] I.A. Brigadnov. Discontinuous solutions and their finite element approximation in non-linear elasticity. In R. Van Keer, B. Verhegghe, M. Hogge, and E. Noldus, eds., Advanced Computational Methods in Engineering'98, pages 141-148, Maastricht, 1998. Shaker Publishing B.V.
  • [7] I.A. Brigadnov. The limited static load in finite elasticity. In AI Dorfmann and A. Muhr, eds., Constitutive Models for Rubber, pages 37-43, Rotterdam, 1999. A.A. Balkema.
  • [8] I.A. Brigadnov. Estimation of durability for non-linear elastic solids. Mech. of Solids, 1: 6-15, 2001.
  • [9] I.A. Brigdanov. Discontinuous maps and their approximation in non-linear elasticity. Mech. of Solids, 2: 42-53, 2001.
  • [10] E. Giusti. Minimal Surfaces and Functions of Bounded Variations. Birkhauser, Boston, 1984.
  • [11] R. Temam. Problemes Mathématiques en Plasticité. Gauthier-Villars, Paris, 1983.
  • [12] I.A. Brigadnov. Numerical analysis of dielectrics in powerful electrical fields. Computer Assisted Mech. & Eng. Sci., 8: 227-234, 2001.
  • [13] Ph.G. Ciarlet. Mathematical Elasticity Vol .l: Three-Dimensional Elasticity. North-Holland Publ. Co., Amsterdam, 1988.
  • [14] A.I. Lurie. Nonlinear Theory of Elasticity. North-Holland Publ. Co. , Amsterdam, 1990.
  • [15] S. Fucik and A. Kufner. Nonlinear Differential Equations. Elsevier Sci. Publ. Co., Amsterdam, 1980.
  • [16] I. Ekeland and R. Temam. Convex Analysis and Variational Problems. North-Holland Publ. Co., Amsterdam, 1976.
  • [17] Ph.G. Ciarlet. The Finite Element Method for Elliptic Problems. North-Holland Publ. Co., Amsterdam, 1980.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB1-0009-0084
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