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

Klinge S, Steinmann P (2015)


Publication Language: English

Publication Type: Journal article

Publication year: 2015

Journal

Book Volume: 55

Pages Range: 603-615

Journal Issue: 3

DOI: 10.1007/s00466-015-1126-5

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.

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APA:

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

MLA:

Klinge, Sandra, and Paul Steinmann. "Inverse analysis for heterogeneous materials and its application to viscoelastic curing polymers." Computational Mechanics 55.3 (2015): 603-615.

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