On the effective behavior of viscoelastic composites in three dimensions

Cruz-González, O.L., Rodríguez-Ramos, R., Otero, J.A., Ramirez Torres, A. , Penta, R. and Lebon, F. (2020) On the effective behavior of viscoelastic composites in three dimensions. International Journal of Engineering Science, 157, 103377. (doi: 10.1016/j.ijengsci.2020.103377)

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We address the calculation of the effective properties of non-aging linear viscoelastic composite materials. This is done by solving the microscale periodic local problems obtained via the Asymptotic Homogenization Method (AHM) by means of finite element three-dimensional simulations. The work comprises the investigation of the effective creep and relaxation behavior for a variety of fiber and inclusion reinforced structures (e.g. polymeric matrix composites). As starting point, we consider the elastic-viscoelastic correspondence principle and the Laplace-Carson transform. Then, a classical asymptotic homogenization approach for composites with discontinuous material properties and perfect contact at the interface between the constituents is performed. In particular, we reach to the stress jump conditions from local problems and obtain the corresponding interface loads. Furthermore, we solve numerically the local problems in the Laplace-Carson domain, and compute the effective coefficients. Moreover, the inversion to the original temporal space is also carried out. Finally, we compare our results with those obtained from different homogenization approaches, such as the Finite-Volume Direct Averaging Micromechanics (FVDAM) and the Locally Exact Homogenization Theory (LEHT).

Item Type:Articles
Additional Information:ART kindly acknowledges the Dipartimento di Scienze Matematiche (DISMA) “G.L. Lagrange” of the Politecnico di Torino, “Dipartimento di Eccellenza 2018–2022”, Project code: E11G18000350001.
Glasgow Author(s) Enlighten ID:Penta, Dr Raimondo and Ramirez Torres, Dr Ariel
Authors: Cruz-González, O.L., Rodríguez-Ramos, R., Otero, J.A., Ramirez Torres, A., Penta, R., and Lebon, F.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:International Journal of Engineering Science
ISSN (Online):1879-2197
Published Online:07 September 2020
Copyright Holders:Copyright © 2020 Elsevier Ltd
First Published:First published in International Journal of Engineering Science 157:103377
Publisher Policy:Reproduced in accordance with the publisher copyright policy

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
303232EPSRC Centre for Multiscale soft tissue mechanics with MIT and POLIMI (SofTMech-MP)Xiaoyu LuoEngineering and Physical Sciences Research Council (EPSRC)EP/S030875/1M&S - Mathematics