A frame invariant and path-independent geometrically exact thin walled composite beam element

Authors
Saravia, César Martín; Machado, Sebastián Pablo; Cortínez, Víctor Hugo
Publication Year
2010
Language
Spanish
Format
article
Status
Published version
Description
A geometrically exact, frame invariant and path independent beam finite element for composite thin - walled beams is presented. In the proposed formulation the virtual work equations are written as a function of generalized strain components, which are parametrized in terms of the director field and its derivatives. The generalized strains and forces are obtained by introducing a transformation that maps generalized components into physical components. Finite rotations are parametrized with the total rotation vector and a multiplicative update of the directors is performed via the total rotation tensor. A curvilinear transformation is applied to the strain vector and the transformed deformations are used to write the constitutive relations. As a result, the proposed formulation is valid for both isotro pic and anisotropic beams. The frame invariance and path independence of the presented formulation is ensured by the use of interpolation to obtain the derivatives of the director field.
Fil: Saravia, César Martín. Universidad Tecnológica Nacional. Facultad Regional Bahía Blanca; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina
Fil: Machado, Sebastián Pablo. Universidad Tecnológica Nacional. Facultad Regional Bahía Blanca; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina
Fil: Cortínez, Víctor Hugo. Universidad Tecnológica Nacional. Facultad Regional Bahía Blanca; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina
Subject
GEOMETRICALLY EXACT BEAMS
TOTAL LAGRANGIAN
ANISOTROPIC
Otras Ingeniería Civil
Ingeniería Civil
INGENIERÍAS Y TECNOLOGÍAS
Access level
Open access
License
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repository
CONICET Digital (CONICET)
Institution
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identifier
oai:ri.conicet.gov.ar:11336/68438