2026-06-01T01:19:47Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/338162023-08-28T08:12:17Zcom_20.500.14352_14col_20.500.14352_15
A problem on slender nearly cylindrical shells suggested by Torroja’s structures
Díaz Díaz, Jesús Ildefonso
Sanchez-Palencia, E.
51
Thin shells
V-shaped structures
Asymptotic behavior
Scalar potential
Parabolic higher order equations
One-side
problems
Matemáticas (Matemáticas)
12 Matemáticas
In this paper we consider peculiar kinds of curved slender nearly cylindrical elastic shells enjoying rigidity properties inherited from the geometry which furnish remarkable properties of strength. In two previous papers were addressed the cases exactly cylindrical and slightly hyperbolic (i:e: the total curvature of the middle surface is zero or slightly negative). In the present work, we take advantage of a new kind of a priori estimates which is independent of the type (either hyperbolic or elliptic) of the middle surface, allowing a generalization of the results to more general surfaces, including the elliptic case (i:e: with curvature slightly positive).
Depto. de Análisis Matemático y Matemática Aplicada
Fac. de Ciencias Matemáticas
TRUE
pub
2023-06-19T13:28:39Z
2023-06-19T13:28:39Z
2015
journal article
https://hdl.handle.net/20.500.14352/33816
0020-7225
10.1016/j.ijengsci.2014.09.003
eng
restricted access
application/pdf
Elsevier