eprintid: 19562
rev_number: 16
eprint_status: archive
userid: 1903
dir: disk0/00/01/95/62
datestamp: 2014-05-06 16:56:44
lastmod: 2016-04-21 20:18:04
status_changed: 2014-05-06 16:56:44
type: conference_item
metadata_visibility: show
item_issues_count: 0
creators_name: Latorre Ferrus, Marcos
creators_name: Montans Leal, Francisco Javier
title: WYPIWYG Hyperelasticity
rights: by-nc-nd
ispublished: pub
subjects: aeronautica
full_text_status: public
pres_type: paper
abstract: In this paper we describe a new promising procedure to model hyperelastic materials from given stress-strain data. The main advantage of the proposed method is that the user does not need to have a relevant knowledge of hyperelasticity, large strains or hyperelastic constitutive modelling. The engineer simply has to prescribe some stress strain experimental data (whether isotropic or anisotropic) in also user prescribed stress and strain measures and the model almost exactly replicates the experimental data. The procedure is based on the piece-wise splines model by Sussman and Bathe and may be easily generalized to transversely isotropic and orthotropic materials. The model is also amenable of efficient finite element implementation. In this paper we briefly describe the general procedure, addressing the advantages and limitations. We give predictions for arbitrary ?experimental data? and also give predictions for actual experiments of the behaviour of living soft tissues. The model may be also implemented in a general purpose finite element program. Since the obtained strain energy functions are analytic piece-wise functions, the constitutive tangent may be readily derived in order to be used for implicit static problems, where the equilibrium iterations must be performed and the material tangent is needed in order to preserve the quadratic rate of convergence of Newton procedures.
date_type: published
date: 2012-11-16
pagerange: 403-414
pages: 12
event_title: Issues on Mechanical Engineering
event_location: Madrid
event_dates: 16/11/2012 - 16/11/2012
event_type: conference
institution: Aeronauticos
department: Vehiculos_Aeroespaciales
refereed: TRUE
isbn: 978-84-939196-7-2
book_title: Issues on Mechanical Engineering
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citation:   Latorre Ferrus, Marcos and Montans Leal, Francisco Javier  (2012).  WYPIWYG Hyperelasticity.  In: "Issues on Mechanical Engineering", 16/11/2012 - 16/11/2012, Madrid. ISBN 978-84-939196-7-2. pp. 403-414.    
document_url: http://oa.upm.es/19562/1/INVE_MEM_2012_138383.pdf