Abstract
This paper consists of three parts: the first has to do with a method of deduction by scaling of linearly elastic structure models, starting from a displacement formulation of variational equilibrium in three-dimensional linear elasticity; the second part is devoted to elucidating the role of second-gradient elastic energy in the derivation of structure models capable of shearing deformations; in the last part, a validation by Gamma-convergence of the Reissner-Mindlin plate model is offered.
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
Miara B, Podio-Guidugli P (2006) C.R. Acad. Sci. Paris, Ser. I 343: 675–678
Miara B, Podio-Guidugli P (2007) Asymptotic Analysis 51: 113–131
Paroni R, Podio-Guidugli P, Tomassetti G (2006) C.R. Acad. Sci. Paris, Ser. I 343: 437–440
Paroni R, Podio-Guidugli P, Tomassetti G (2007) Analysis and Applications 5: 165–182
De Giorgi E, Franzoni T (1975) Atti Accad. Naz. Lincei Rend. Cl. Sci. Mat. Fis. Nat. 58: 842–850
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer Science+Business Media B.V.
About this paper
Cite this paper
Podio-Guidugli, P. (2008). Validation of Classical Beam and Plate Models by Variational Convergence. In: Jaiani, G., Podio-Guidugli, P. (eds) IUTAM Symposium on Relations of Shell Plate Beam and 3D Models. IUTAM Bookseries, vol 9. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8774-5_16
Download citation
DOI: https://doi.org/10.1007/978-1-4020-8774-5_16
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-8773-8
Online ISBN: 978-1-4020-8774-5
eBook Packages: EngineeringEngineering (R0)