Advanced search
Publication Cover
Applicable Analysis
An International Journal
Volume 31, 1988 - Issue 1-2
Submit an article Journal homepage
35
Views
16
CrossRef citations to date
0
Altmetric
Original Articles

A derivation of generalized saint venant’s torsion theory from three-dimensional elasticity by asymptotic expansion methods

L. Trabucho Centro de Matematica e Apliçagões Fundanientais (C.M.A.F.). Av. Prof. Gama, Pinto, 2, Lisboa Codex, 1699, PORTUGAL
&
J. M. Viañ Departamento de Matemática Aplicada.Facultadde Matemáticas, Universidad de Santiago de Compostela, Santiago de Compostela, 15706, SPAIN
Pages 129-148 | Received 19 Jul 1988, Published online: 02 May 2007

Citations (16)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (1)

M.L. Mascarenhas & L. Trabucho. (1991) Homogenization and a galerkin approximation in three–dimensional beam theory. Applicable Analysis 42:1-4, pages 83-111.
Read now

Articles from other publishers (15)

J. M. Viaño, J. Figueiredo, C. Ribeiro & Á. Rodríguez-Arós. (2014) A model for bending and stretching of piezoelectric rods obtained by asymptotic analysis. Zeitschrift für angewandte Mathematik und Physik 66:3, pages 1207-1232.
Crossref
D. Wang, M. Lucas & K. E. Tanner. (2013) Characterising the Strain and Temperature Fields in a Surrogate Bone Material Subject to Power Ultrasonic Excitation. Strain, pages n/a-n/a.
Crossref
Monique Dauge, Erwan Faou & Zohar Yosibash. 2004. Encyclopedia of Computational Mechanics. Encyclopedia of Computational Mechanics.
L.J. Alvarez-Vázquez, A.R. Rodríguez-Rodríguez & J.M. Viaño. (1998) Genuinely clamped beams. Computer Methods in Applied Mechanics and Engineering 158:3-4, pages 375-388.
Crossref
J. A. Álvarez-Dios & J. M. Viaño. (1998) Mathematical justification of a one-dimensional model for general elastic shallow arches. Mathematical Methods in the Applied Sciences 21:4, pages 281-325.
Crossref
José M. Rodríguez & Juan M. Viaño. (1998) Asymptotic analysis of Poisson's equation in a thin domain and its application to thin-walled elastic beams and tubes. Mathematical Methods in the Applied Sciences 21:3, pages 187-226.
Crossref
N. Kerdid. (2009) Modeling the vibrations of a multi-rod structure. ESAIM: Mathematical Modelling and Numerical Analysis 31:7, pages 891-925.
Crossref
. 1997. Mathematical Elasticity - Volume II: Theory of Plates. Mathematical Elasticity - Volume II: Theory of Plates 451 478 .
Philippe G. Ciarlet. 1997. Mathematical Elasticity - Volume II: Theory of Plates. Mathematical Elasticity - Volume II: Theory of Plates 3 127 .
L. Trabucho & J.M. Viaño. 1996. Finite Element Methods (Part 2), Numerical Methods for Solids (Part 2). Finite Element Methods (Part 2), Numerical Methods for Solids (Part 2) 487 974 .
L Alvarez-Vazquez & J.M Viaño. (1994) Asymptotic justification of an evolution linear thermoelastic model for rods. Computer Methods in Applied Mechanics and Engineering 115:1-2, pages 93-109.
Crossref
L Alvarez-Vazquez & J.M Viaño. (1994) Derivation of an evolution model for nonlinearly elastic beams by asymptotic expansion methods. Computer Methods in Applied Mechanics and Engineering 115:1-2, pages 53-66.
Crossref
J. A. Alvarez‐Dios & J. M. Viaño. (2005) An asymptotic general model for linear elastic homogeneous anisotropic rods. International Journal for Numerical Methods in Engineering 36:18, pages 3067-3095.
Crossref
B. Miara & L. Trabucho. (2009) A Galerkin spectral approximation in linearized beam theory. ESAIM: Mathematical Modelling and Numerical Analysis 26:3, pages 425-446.
Crossref
L. Trabucho & J. M. Viaño. (2009) A new approach of Timoshenko's beam theory by asymptotic expansion method. ESAIM: Mathematical Modelling and Numerical Analysis 24:5, pages 651-680.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.