On the effective behavior of viscoelastic composites in three dimensions

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 compr...

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Bibliographic Details
Published inInternational journal of engineering science Vol. 157; p. 103377
Main Authors Cruz-González, O.L., Rodríguez-Ramos, R., Otero, J.A., Ramírez-Torres, A., Penta, R., Lebon, F.
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 01.12.2020
Elsevier BV
Elsevier
Subjects
Aging (materials)
Asymptotic homogenization method
Asymptotic methods
Asymptotic properties
Composite materials
Computational study
Creep (materials)
Fibrous and inclusion reinforcement
Finite element analysis
Homogenization
Laplace transforms
Material properties
Mechanics
Micromechanics
Physics
Solid mechanics
Three dimensional composites
Viscoelasticity
Viscoelasticity
Fibrous and inclusion reinforcement
Asymptotic homogenization method
Composite materials
Computational study
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Summary: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).
ISSN:0020-7225
1879-2197
DOI:10.1016/j.ijengsci.2020.103377