Design of pre-stressed plate-strips to cover non-developable shells

In this paper we address the following design problem: what is the shape of a plate and the associated pre-stress that relaxes toward a given three-dimensional shell ? As isometric transformations conserve the gaussian curvature, three-dimensional non-developable shells cannot be obtained from the r...

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Bibliographic Details
Published in:	European journal of mechanics, A, Solids Vol. 95; p. 104609
Main Authors:	Danescu, Alexandre, Ionescu, Ioan R.
Format:	Journal Article
Language:	English
Published:	Berlin Elsevier Masson SAS 01-09-2022 Elsevier BV Elsevier
Subjects:	Curvature Differential Geometry Engineering Sciences Large rotations and small strains Mathematics Mechanics Mechanics of materials Non-developable strip-surfaces Nonlinear elasticity Pre-stress Shell design Solid mechanics Structural mechanics Toruses Nonlinear elasticity Non-developable strip-surfaces Shell design Large rotations and small strains Pre-stress
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