Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Konferencja
Solid Mechanics Conference (34 ; 2-7.09.2002 ; Zakopane)
Języki publikacji
Abstrakty
The aim of the present paper is to study an initial-boundary value problem for an isotropic circular plate. General theory was developed by the authors in [12]. The novelty consists in the study of influence of second-order terms (correctors), obtained by variational-asymptotic analysis, on the dynamic solution of plates.
Czasopismo
Rocznik
Tom
Strony
19--31
Opis fizyczny
Bibliogr. 12 poz.
Twórcy
autor
- Institute of Fundamental Technological Research, 00-049 Warsaw, Poland
autor
- Institute of Fundamental Technological Research 00-049 Warsaw, Poland
Bibliografia
- 1. P.G. Ciarlet, Mathematical elasticity, vol.II: Theory of plates, North-Holland, Amsterdam 1997.
- 2. M. Dauge, I. Gruais, Asymptotics of arbitrary order for a thin elastic clamped plate, I. Optimal error estimates, Asymptotic Anal., 13, 167–197, 1996; II. Analysis of the boundary layer term, ibid., 16, 99–124, 1998.
- 3. R.P. Gilbert, T.S. Vashakmadze, A two-dimensional nonlinear theory of anisotropic plates, Math. Comp. Model., 32, 855–875, 2000.
- 4. M.I. Gusein-Zade, Asymptotic analysis of three-dimensional dynamical equations of a thin plate [in Russian], Prikl. Mat. Mekh., 38, 1072–1078, 1974.
- 5. G. Jemielita, Technical Mechanics, II: On the winding path of the theory of plates, III: Theories of elastic plates [in Polish], 148–330, Pol. Sci. Publ., Warsaw 2001.
- 6. T. Lewiński, J.J. Telega, Plates, laminates and shells: asymptotic analysis and homogenization , World Scientific, Series on Advances in Mathematics for Applied Sciences, 52, Singapore 2000.
- 7. W. Nowacki, Dynamics of structures [in Polish], Arkady, Warsaw 1961.
- 8. J.S. Rao, Dynamics of plates, Narosa Publ. Hause, New Delhi 1999.
- 9. A. Raoult, Construction d’un modèle d’évolution de plaques avec terme d’inertie de rotation, Annali Mat. pura appl., 139, 361–400, 1985.
- 10. A. Sławianowska, J.J. Telega, Second-order model of linear elastic orthotropic plates, Mech. Res. Comm., 27, 659–668, 2000.
- 11. A. Sławianowska, J.J. Telega, An asymptotic model of linear elastic orthotropic plates, Bull. Pol. Acad. Sci., Tech. Sci., 49, 1–16, 2001.
- 12. A. Sławianowska, J.J. Telega, A dynamic asymptotic model of linear elastic orthotropic plates: first and second-order terms, Arch. Mech., 53, 541–564, 2001.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT4-0004-0002