Homogenization of linear elastic shells: [gamma]-convergence and duality. Part II. Dual homogenization

• Autorzy: Telega J.J , Lewiński T.
• Języki publikacji: EN

Abstrakty

EN

The elastic shell model introduced in [1] is studied from the point of view of dual homogenization. The density of the homogenized complementary energy is derived and the dual homogenization theorem is formulated.

Słowa kluczowe

EN

duality; dual homogenization; Koiter's shell model

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 1998
• Tom: Vol. 46, nr 1
• Strony: 11--21
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Telega J.J

autor

Lewiński T.

• Institute of Fundamental Technological Research of the Polish Academy of Sciences, Świętokrzyska 21, 00-049 Warszawa, Poland.,

Bibliografia

• [1] J J. Telega, T. Lewiński, Homogenization of linear elastic shells: L. Convergence and duality. Part I. Formulation of the problem and the effective model, Bull. Pol. Ac.: Tech., 46, No 1, (1998) 1-9.
• [2] J. J. Telega, Justification of a refined scaling of stiffnesses of Reissner plates with fine periodic structure, Math. Models Meth. Appl. Sci., 2 (1992) 375-406.
• [3] J. J. Telega, Homogenization and effective properties of plates weakened by partially penetrating fissures: convergence and duality, Math. Modelling Numer. Anal., 27 (1993) 421-456.
• [4] I. Ekeland, R. Temam, Conver analysis and variational problems, North Holland, Amsterdam 1976.
• [5] F. I. Niordson, Shell theory, North Holland, Amsterdam 1985.
• [6] P. J. Laurent, Approximation et optimisation, Herrmann, Paris 1972.
• [7] R. T. Rockafellar, Convex analysis, Princeton University Press, Princeton 1970.