A mathematical model of Koiter's type for a nonlinearly elastic “almost spherical” shell

Comptes Rendus Mathematique - Tập 354 - Trang 1241-1247 - 2016
Philippe G. Ciarlet1, Cristinel Mardare2
1Department of Mathematics, City University of Hong Kong, 83, Tat Chee Avenue, Kowloon, Hong Kong
2Sorbonne Universités, Université Pierre-et-Marie-Curie, Laboratoire Jacques-Louis-Lions, 4, place Jussieu, 75005 Paris, France

Tài liệu tham khảo

Bunoiu, 2015, Existence theorem for a nonlinear elliptic shell model, J. Elliptic Parabolic Eqs., 1, 31, 10.1007/BF03377366 Ciarlet, 2000 Ciarlet, 2005 P.G. Ciarlet, C. Mardare, A well-posed nonlinear model of Koiter's type for elliptic shells, in preparation. Ciarlet, 1992, Justification of the two-dimensional equations of a linearly elastic shallow shell, Commun. Pure Appl. Math., 45, 327, 10.1002/cpa.3160450305 Klingenberg, 1978 Koiter, 1966, On the nonlinear theory of thin elastic shells, Proc. K. Ned. Akad. Wet. B, 69, 1