WYPIWYG Hyperelasticity

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.


Title: WYPIWYG Hyperelasticity
  • Latorre Ferrus, Marcos
  • Montans Leal, Francisco Javier
Item Type: Presentation at Congress or Conference (Article)
Event Title: Issues on Mechanical Engineering
Event Dates: 16/11/2012 - 16/11/2012
Event Location: Madrid
Title of Book: Issues on Mechanical Engineering
Date: 16 November 2012
ISBN: 978-84-939196-7-2
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Vehículos Aeroespaciales [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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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.

More information

Item ID: 19562
DC Identifier: https://oa.upm.es/19562/
OAI Identifier: oai:oa.upm.es:19562
Deposited by: Memoria Investigacion
Deposited on: 06 May 2014 16:56
Last Modified: 21 Apr 2016 20:18
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