Mathematical justification of Kelvin–Voigt beam models by asymptotic methods-Reference-Cited by-同舟云学术

Mathematical justification of Kelvin–Voigt beam models by asymptotic methods

Published:2011-12-16 Issue:3 Volume:63 Page:529-556
ISSN:0044-2275
Container-title:Zeitschrift für angewandte Mathematik und Physik
language:en
Short-container-title:Z. Angew. Math. Phys.

Author:

Rodríguez-Arós Á. D.,Viaño J. M.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Physics and Astronomy,General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s00033-011-0180-x.pdf

Reference31 articles.

1. Alvarez-Dios J.A., Viaño J.M.: A bending and torsion asymptotic theory for linear non-homogeneous anisotropic elastic rods. Asymptot. Anal. 7, 129–158 (1993)

2. Alvarez-Dios J.A., Viaño J.M.: An asymptotic general model for linear elastic homogeneous anisotropic rods. Int. J. Numer. Method. Eng. 36, 3067–3095 (1993)

3. Alvarez-Dios J.A., Viaño J.M.: Mathematical justification of a one-dimensional model for general elastic shallow arches. Math. Method. Appl. Sci. 21, 281–325 (1998)

4. Bermúdez A., Viaño J.M.: Une justification des équations de la thermo-élasticité de poutres a section variable par des méthodes asymptotiques. Math. Model. Numer. Anal. 18(4), 347–376 (1984)

5. Brezis H.: Opérateurs maximaux monotones et semigroups de contractions dans les espaces de Hilbert. North-Holland, Amsterdam (1973)

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