Xiao, Li-ming Justification of a two-dimensional linear shell model of Koiter’s type. (English) Zbl 1251.35164 Far East J. Math. Sci. (FJMS) 60, No. 2, 211-228 (2012). Summary: Motivated by Ciarlet’s research work on the two-dimensional non-linear shell model of Koiter’s type, we propose a new two-dimensional linear shell model of Koiter’s type, in which the flexural part is different from the classical two-dimensional linear Koiter’s shell model. As the thickness of the shell goes to zero, using the corresponding Korn’s inequality, we obtain a justification of the two-dimensional linear shell model of Koiter’s type by the method of the asymptotic analysis. MSC: 35Q74 PDEs in connection with mechanics of deformable solids 74K25 Shells 74H10 Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics Keywords:linear shell model of Koiter’s type; asymptotic analysis PDFBibTeX XMLCite \textit{L.-m. Xiao}, Far East J. Math. Sci. (FJMS) 60, No. 2, 211--228 (2012; Zbl 1251.35164) Full Text: Link