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Archive of Applied Mechanics
Erschienen in: Archive of Applied Mechanics 10/2021

28.06.2021 | Original

Large deformation analysis of two-dimensional visco-hyperelastic beams and frames

verfasst von: Farzam Dadgar-Rad, Nasser Firouzi

Erschienen in: Archive of Applied Mechanics | Ausgabe 10/2021

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Abstract

This contribution aims at developing a formulation for the large viscoelastic deformation of hyperelastic beams and frames under various loading and boundary conditions. To do so, the kinematics of deformation in two-dimensional space is formulated and basic kinematics and kinetic quantities are introduced. The quasi-linear viscoelasticity theory is employed to capture the time-dependent behavior of the underlying material. The corresponding time integration scheme and the consistent tangent moduli are then presented. Because of the highly nonlinear nature of governing equations at the large regime of deformations including time dependency, a nonlinear finite element formulation in the total Lagrangian framework is developed. Several numerical examples are provided to investigate the applicability of derived formulations. It is observed that the formulation can successfully capture the relaxation and creep phenomena in visco-hyperelastic beams and frames.
Vorheriger Artikel First- and second-order sensitivity analysis of finite element models using extended complex variables method
Nächster Artikel Analytical solution for torsion of cylindrical orthotropic annular wedge-shaped bars reinforced by thin shells

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Metadaten
Titel
Large deformation analysis of two-dimensional visco-hyperelastic beams and frames
verfasst von
Farzam Dadgar-Rad
Nasser Firouzi
Publikationsdatum
28.06.2021
Verlag
Springer Berlin Heidelberg
Erschienen in
Archive of Applied Mechanics / Ausgabe 10/2021
Print ISSN: 0939-1533
Elektronische ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-021-02008-x

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