Dimensional analysis and asymptotic expansions of the equilibrium equations in nonlinear elasticity. Cz. 2, The two-dimensional von Karman model

• Autorzy: Millet O. , Hamdouni A. , Cimetiere A.
• Języki publikacji: EN

Abstrakty

EN

In the second part of this article, which is a continuation of [8] which dealt with a plate subjected to large loads, we consider a plate subjected to moderate applied forces level within the framework of nonlinear elasticity. We then apply the new constructive approach developed in the first part which needs no a priori assumption. For these moderate forces, we prove that the two-dimensional model we obtain by asymptotic expansions is the von Karman one. Finally the two-dimensional stress field in the plate is deduced from the three-dimensional constitutive equations without any a priori assumption.

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 1998
• Tom: Vol. 50, nr 6
• Strony: 975--1001
• Opis fizyczny: Bibliogr. 9 poz.,

Twórcy

autor

Millet O.

autor

Hamdouni A.

autor

Cimetiere A.

• Laboratoire de Modelisation Mechanique et de Mathematiques Appliquees (L.3.M.A.), Universite de Poitiers et Ensma, SP2MI, Teleport 2, 86960 Futuroscope cedex, France.