http://www.cnr.it/ontology/cnr/individuo/prodotto/ID293366

The dimensional reduction modelling approach for 3D beams: Differential equations and finite-element solutions based on Hellinger-Reissner principle (Articolo in rivista)

Type

Prodotto della ricerca (Classe)
Articolo in rivista (Classe)

Label

The dimensional reduction modelling approach for 3D beams: Differential equations and finite-element solutions based on Hellinger-Reissner principle (Articolo in rivista) (literal)

Anno

2013-01-01T00:00:00+01:00 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi

10.1016/j.ijsolstr.2013.08.022 (literal)

Alternative label

Auricchio, Ferdinando; Balduzzi, Giuseppe; Lovadina, Carlo (2013)
The dimensional reduction modelling approach for 3D beams: Differential equations and finite-element solutions based on Hellinger-Reissner principle
in International journal of solids and structures; Elsevier, Amsterdam (Paesi Bassi)
(literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori

Auricchio, Ferdinando; Balduzzi, Giuseppe; Lovadina, Carlo (literal)

Pagina inizio

4184 (literal)

Pagina fine

4196 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url

http://www.sciencedirect.com/science/article/pii/S0020768313003387# (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume

50 (literal)

Rivista

International journal of solids and structures (Rivista)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali

13 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo

25-26 (literal)

Note

ISI Web of Science (WOS) (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni

Dipartimento di Ingegneria Civile e Architettura (DICAr), Università degli Studi di Pavia, Pavia, Italy; European Centre for Training and Research in Earthquake Engineering (EUCENTRE), Pavia, Italy; Istituto di Matematica Applicata e Tecnologie Informatiche (IMATI), CNR, Pavia, Italy; Centro di Simulazione Numerica Avanzata (CeSNA), IUSS, Pavia, Italy; Dipartimento di Matematica ''Felice Casorati'', Università degli Studi di Pavia, Pavia, Italy (literal)

Titolo

The dimensional reduction modelling approach for 3D beams: Differential equations and finite-element solutions based on Hellinger-Reissner principle (literal)

Abstract

This paper illustrates an application of the so-called dimensional reduction modelling approach to obtain a mixed, 3D, linear, elastic beam-model. We start from the 3D linear elastic problem, formulated through the Hellinger-Reissner functional, then we introduce a cross-section piecewise-polynomial approximation, and finally we integrate within the cross section, obtaining a beam model that satisfies the cross-section equilibrium and could be applied to inhomogeneous bodies with also a non trivial geometries (such as L-shape cross section). Moreover the beam model can predict the local effects of both boundary displacement constraints and non homogeneous or concentrated boundary load distributions, usually not accurately captured by most of the popular beam models. We modify the beam-model formulation in order to satisfy the axial compatibility (and without violating equilibrium within the cross section), then we introduce axis piecewise-polynomial approximation, and finally we integrate along the beam axis, obtaining a beam finite element. Also the beam finite elements have the capability to describe local effects of constraints and loads. Moreover, the proposed beam finite element describes the stress distribution inside the cross section with high accuracy. In addition to the simplicity of the derivation procedure and the very satisfying numerical performances, both the beam model and the beam finite element can be refined arbitrarily, allowing to adapt the model accuracy to specific needs of practitioners. (literal)

Editore