PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
2004 | 14 | 2 | 127-137
Tytuł artykułu

Koiter shell governed by strongly monotone constitutive equations

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper we use the theory of monotone operators to generalize the linear shell model presented in (Blouza and Le Dret, 1999) to a class of physically nonlinear models. We present a family of nonlinear constitutive equations, for which we prove the existence and uniqueness of the solution of the presented nonlinear model, as well as the convergence of the Galerkin method. We also present the physical discussion of the model.
Rocznik
Tom
14
Numer
2
Strony
127-137
Opis fizyczny
Daty
wydano
2004
otrzymano
2003-06-13
poprawiono
2004-03-06
Twórcy
autor
  • Jagiellonian University, Institute of Computer Science, ul. Nawojki 11, 30-072 Kraków, Poland
Bibliografia
  • Antman S.S. (1995): Nonlinear Problems of Elasticity. -New York: Springer-Verlag.
  • Bernardou M. and Ciarlet P.G. (1976): Sur l'ellipticite du modele lineaire de coques de W.T. Koiter, In: Computing Methods in Applied Sciences and Engineering (R. Glowinski andJ.L. Lions, Eds.). - Heidelberg: Springer, Lect. Not. Econ., Vol. 134, pp. 89-136.
  • Berne R.M. and Levy M.N. (1983): Physiology. - St. Louis: The C.V. Mosby Company.
  • Blouza A. and Le Dret H. (1999): Existence and uniqueness for the linear Koiter model for shells with little regularity. -Quart. Appl. Math., Vol. 57, No. 2, pp. 317-337.
  • Cemal Eringen A. (1962): Nonlinear Theory of Continuous Media. - New York: McGraw-Hill.
  • Chapelle D. and Bathe K.J. (1998): Fundamental considerations for the finite element analysis of shell structures. - Comput. Struct., Vol. 66, No. 1, pp. 19-36.
  • Ciarlet P.G. (2000): Mathematical Elasticity, Vol. III: Theory of Shells. - Amsterdam: Elsevier.
  • Gajewski H., Gröger K. and Zacharias K. (1974): Nichtlineare operatorgleichungen undoperatordifferentialgleichungen. - Berlin: Akademie-Verlag.
  • Gaudiello A., Gustafsson B., Lefter C. and Mossino J.(2002): Asymptotic analysis for monotone quasilinear problems in thin multidomains. - Diff. Int. Eqns., Vol. 15, No. 5, pp. 623-640.
  • Kalita P. (2003): Arterial wall modeled by physically nonlinear Koiter shell. - Proc. 15th Int. Conf. Computer Methods in Mechanics CMM-2003, Gliwice/Wisła, Poland, (published on CD-ROM).
  • Kerdid N. and Mato Eiroa P. (2000): Conforming finite element approximation for shells with little regularity. -Comput. Meth. Appl. Mech. Eng., Vol. 188, No. 1-3, pp. 95-107.
  • Koiter W.T. (1970): On the foundations of the linear theory of thin elastic shells. - Proc. Kon. Ned. Akad. Wetensch., Vol. B 73, pp. 169-195.
  • Noll W. and Truesdell C. (1965): Encyclopedia of Physics, Vol. III3: The Non-Linear Field Theories of Mechanics. - New York: Springer.
  • Rudin W. (1973): Functional Analysis. - New York: Blaisdell.
  • Schaefer R. and Sędziwy S. (1999), Filtration in cohesive soils: Mathematical model. - Comput. Assist. Mech. Eng. Sci., Vol. 6, No. 1, pp. 1-13.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-amcv14i2p127bwm
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.