Generalized parameter identification for finite viscoelasticity

Kleuter, B., Menzel, A. and Steinmann, P. (2007) Generalized parameter identification for finite viscoelasticity. Computer Methods in Applied Mechanics and Engineering, 196(35-36), pp. 3315-3334. (doi: 10.1016/j.cma.2007.03.010)

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Abstract

Elastomeric and other rubber-like materials are often simultaneously exposed to short- and long-time loads within engineering applications. When aiming at establishing a general simulation tool for viscoelastic media over these different time scales, a suitable material model and its corresponding material parameters can only be determined if an appropriate number of experimental data is taken into account. In this work we present an algorithm for the identification of material parameters for large strain viscoelasticity in which data of multiple experiments are considered. Based on this method the experimental loading intervals for long-time experiments can be shortened in time and the parameter identification procedure is now referred to experimental data of tests under short- and long-time loads without separating the parameters due to these different time scales. The employed viscoelastic material law is based on a nonlinear evolution law and valid far from thermodynamic equilibrium. The identification is carried out by minimizing a least squares functional comparing inhomogeneous displacement fields from experiments and FEM simulations at given (measured) force loads. Within this optimization procedure all material parameters are identified simultaneously by means of a gradient based method for which a semi-analytical sensitivity analysis is calculated. A representative numerical example is referred to measured data based on short-time and long-time tests of a non-cellular polyurethane. As an advantage, the developed identification scheme renders solely one single set of material parameters.

Item Type:Articles
Additional Information:The funding of this research by ‘Stiftung Rheinland-Pfalz für Innovation’, the innovation foundation of the State of Rhineland-Palatinate, Germany is gratefully acknowledged. The experimental data was determined within the framework of a complementary project by Prof. Dr.-Ing. R. Renz and M. Bosseler at the ‘Institute of Resource centred Product Development (RPE)’, University of Kaiserslautern.
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Steinmann, Professor Paul
Authors: Kleuter, B., Menzel, A., and Steinmann, P.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:Computer Methods in Applied Mechanics and Engineering
Publisher:Elsevier
ISSN:0045-7825
ISSN (Online):1879-2138
Published Online:19 April 2007
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