Energy Estimates Relating Different Linear Elastic Models of a Thin Cylindrical Shell II: The Case of Free Boundary

Autor:	Jyrki Piila, Juhani Pitkäranta
Rok vydání:	1995
Předmět:	Computational Mathematics Distribution (mathematics) Applied Mathematics Mathematical analysis Linear elasticity Linear model Shell (structure) Boundary (topology) State (functional analysis) Type (model theory) Deformation (engineering) Analysis Mathematics
Zdroj:	SIAM Journal on Mathematical Analysis. 26:820-849
ISSN:	1095-7154 0036-1410
DOI:	10.1137/s0036141092198031
Popis:	Four different linear models describing the elastic deformation of a thin cylindrical shell are analyzed under a given smooth normal pressure distribution. Either a bending-dominated deformation state or a “soft” membrane-dominated deformation state is assumed, and the models to be considered are (1) the standard three-dimensional model, (2) a shell model of Reissner–Mindlin type, (3) the classical shell model of Koiter, Sanders, and Novozhilov, and (4) the asymptotic shell model. Energy estimates relating the models are derived.
Databáze:	OpenAIRE
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