Jump to ContentJump to Main Navigation
Show Summary Details
More options …

Advances in Calculus of Variations

Managing Editor: Duzaar, Frank / Kinnunen, Juha

Editorial Board: Armstrong, Scott N. / Balogh, Zoltán / Cardiliaguet, Pierre / Dacorogna, Bernard / Dal Maso, Gianni / DiBenedetto, Emmanuele / Fonseca, Irene / Gianazza, Ugo / Ishii, Hitoshi / Kristensen, Jan / Manfredi, Juan / Martell, Jose Maria / Mingione, Giuseppe / Nystrom, Kaj / Riviére, Tristan / Schaetzle, Reiner / Shen, Zhongwei / Silvestre, Luis / Tonegawa, Yoshihiro / Touzi, Nizar / Wang, Guofang


IMPACT FACTOR 2017: 1.676

CiteScore 2017: 1.30

SCImago Journal Rank (SJR) 2017: 2.045
Source Normalized Impact per Paper (SNIP) 2017: 1.138

Mathematical Citation Quotient (MCQ) 2017: 1.15

Online
ISSN
1864-8266
See all formats and pricing
More options …
Volume 6, Issue 1

Issues

Thin-walled beams with a cross-section of arbitrary geometry: Derivation of linear theories starting from 3D nonlinear elasticity

Elisa Davoli
Published Online: 2013-01-03 | DOI: https://doi.org/10.1515/acv-2011-0003

Abstract.

The subject of this paper is the rigorous derivation of lower dimensional models for a nonlinearly elastic thin-walled beam whose cross-section is given by a thin tubular neighbourhood of a smooth curve. Denoting by h and , respectively, the diameter and the thickness of the cross-section, we analyse the case where the scaling factor of the elastic energy is of order , with . Different linearized models are deduced according to the relative order of magnitude of with respect to h.

Keywords: Thin-walled beams; nonlinear elasticity; Γ-convergence; dimension reduction

About the article

Received: 2011-06-30

Accepted: 2011-11-28

Published Online: 2013-01-03

Published in Print: 2013-01-01


Citation Information: , Volume 6, Issue 1, Pages 33–91, ISSN (Online) 1864-8266, ISSN (Print) 1864-8258, DOI: https://doi.org/10.1515/acv-2011-0003.

Export Citation

© 2013 by Walter de Gruyter Berlin Boston.Get Permission

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

[1]
Carolin Kreisbeck
Discrete and Continuous Dynamical Systems - Series S, 2016, Volume 10, Number 1, Page 55
[2]
C. Davini, L. Freddi, and R. Paroni
SIAM Journal on Mathematical Analysis, 2014, Volume 46, Number 5, Page 3296
[3]
C. Davini, L. Freddi, and R. Paroni
SIAM Journal on Mathematical Analysis, 2014, Volume 46, Number 5, Page 3332

Comments (0)

Please log in or register to comment.
Log in