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Validation of Classical Beam and Plate Models by Variational Convergence

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IUTAM Symposium on Relations of Shell Plate Beam and 3D Models

Part of the book series: IUTAM Bookseries ((IUTAMBOOK,volume 9))

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.

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References

  1. Miara B, Podio-Guidugli P (2006) C.R. Acad. Sci. Paris, Ser. I 343: 675–678

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  2. Miara B, Podio-Guidugli P (2007) Asymptotic Analysis 51: 113–131

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  3. Paroni R, Podio-Guidugli P, Tomassetti G (2006) C.R. Acad. Sci. Paris, Ser. I 343: 437–440

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  4. Paroni R, Podio-Guidugli P, Tomassetti G (2007) Analysis and Applications 5: 165–182

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  5. De Giorgi E, Franzoni T (1975) Atti Accad. Naz. Lincei Rend. Cl. Sci. Mat. Fis. Nat. 58: 842–850

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© 2008 Springer Science+Business Media B.V.

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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

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  • 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)

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