Inverse analysis for heterogeneous materials and its application to viscoelastic curing polymers

Klinge, S. and Steinmann, P. (2015) Inverse analysis for heterogeneous materials and its application to viscoelastic curing polymers. Computational Mechanics, 55(3), pp. 603-615. (doi: 10.1007/s00466-015-1126-5)

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Abstract

This contribution aims at achieving two important goals: First, it outlines a numerical inverse homogenization strategy able to recover material parameters of the microstructure by using results of macroscopic tests. Second, it considers parameter identification for viscoelastic heterogeneous materials, which is a step providing the basis for the further extension toward the general treatment of dissipative processes. The approach proposed couples the Levenberg–Marquardt method with the multiscale finite element method. In this combination, the former is a gradient-based optimization strategy used to minimize a merit function while the latter is a numerical homogenization technique needed to solve the direct problem. The specific example studied in the paper deals with the investigation of a composite consisting of a viscoelastic curing polymer and a nonlinear elastic material. It proposes a three-step procedure for the evaluation of its material parameters and discusses the accuracy and the uniqueness of the solution.

Item Type:Articles
Additional Information:The second author acknowledges funding by the ERC-Advanced Grant MOCOPOLY.
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Steinmann, Professor Paul
Authors: Klinge, S., and Steinmann, P.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:Computational Mechanics
Publisher:Springer
ISSN:0178-7675
ISSN (Online):1432-0924
Published Online:15 February 2015
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