Abstract
In problems involving thin elastic shells, a common approximation is to neglect flexural effects in front of stretching effects. Indeed, the former are associated with terms in the equations of equilibrium that are higher order in the small thickness h. Neglecting flexural effects constitutes to the so-called membrane approximation.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Audoly B (1999) Courbes rigidifiant les surfaces. C R Acad Sci Paris 328 I: 313–316
Audoly B, Pomeau Y (2002) The elastic torus: Anomalous stiffness in shells with mixed type. C R Mecanique 330: 425–432
Audoly B, Pomeau Y, (2003) in preparation
Clark A (1950) On the theory of thin elastic toroidal shells. J Math Phys 29: 146–178
Reissner E (1963) On stresses and deformations in toroidal shells of circular cross section which are acted upon by uniform normal pressure. Quart App Math 21: 177–187
Rossettos JN, Sanders JL (1965) Toroidal Shells under Internal Pressure in the Transition Range. AIAA Journal 3: 1901–1909
Sanders JL, Liepins AA (1963) Toroidal Membrane under Internal Pressure. AIAA Journal 1:2105–2110
Steele CR (1964) Orthotropic pressure vessels with axial constraint. AIAA Journal 2: 703–709
Steele CR (1965) Toroidal pressure vessels. J Spacecraft 2: 937–943
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Audoly, B. (2004). Geometric Boundary Layers in Shells With Mixed Type. In: Kienzler, R., Ott, I., Altenbach, H. (eds) Theories of Plates and Shells. Lecture Notes in Applied and Computational Mechanics, vol 16. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39905-6_2
Download citation
DOI: https://doi.org/10.1007/978-3-540-39905-6_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-05904-9
Online ISBN: 978-3-540-39905-6
eBook Packages: Springer Book Archive