LINEAR SHELL THEORY REVISITED WITH A STRAIN APPROACH

• 作 者: Liliana Gratie
• 机 构: LiuBieJuCentreforMathematicalSciences,CityUniversityofHongKong83TatCheeAvenue,Kowloon,HongKong
• 出 处: 2006 International Conference on Analysis and Applications(I
• 发表日期: 2006年6期

　　In this talk, we revisit the Koiter and Naghdi models for linearly elastic shells, introducing as new primary unknowns for the corresponding quadratic minimization problems, the linearized change of metric tensor and the linearized change of curvature tensor for Koiter shell type, and respectively, the linearized change of metric tensor, the linearized transverse shear strain tensor, and Naghdis linearized change of curvature tensor, associated with the displacement and linearized rotation fields of the middle surface of each shell.The mathematical analysis of these two-dimensional linear shell models, concerning existence, uniqueness, and regularity results, is essentially based on the "displacement approach".A key ingredient in proving the existence of a solution for the corresponding minimization problems is then a fundamental lemma of J.-L.Lions.then allow to apply the Lax-Milgram lemma.