A hierarchical asymptotic homogenization approach for viscoelastic composites

Effective properties of non-aging linear viscoelastic and hierarchical composites are investigated via a three-scale asymptotic homogenization method. In this approach, we consider the assumption of a generalized periodicity in the different structural levels and their characterization through the s...

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Bibliographic Details
Published in:Mechanics of advanced materials and structures 2021-10, Vol.28 (21), p.2190-2201
Main Authors: Cruz-González, Oscar Luis, Ramírez-Torres, Ariel, Rodríguez-Ramos, Reinaldo, Penta, Raimondo, Bravo-Castillero, Julián, Guinovart-Díaz, Raúl, Merodio, José, Sabina, Federico J., Lebon, Frederic
Format: Article
Language:English
Subjects:
Asymptotic methods
Asymptotic properties
Composite materials
Composite structures
Creep (materials)
Dermis
Exact solutions
generalized periodicity
hierarchical structures
Homogenization
Mechanics
non-aging
Physics
Solid mechanics
Structural analysis
Structural hierarchy
three-scale asymptotic homogenization method
viscoelastic composites
Viscoelasticity
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Summary:Effective properties of non-aging linear viscoelastic and hierarchical composites are investigated via a three-scale asymptotic homogenization method. In this approach, we consider the assumption of a generalized periodicity in the different structural levels and their characterization through the so-called stratified functions. The expressions for the associated local and homogenized problems, and the effective coefficients are derived at each level of organization by using the correspondence principle and the Laplace-Carson transform. Considering isotropic components and a perfect contact at the interfaces between the constituents, analytical solutions, in the Laplace-Carson space, are found for the local problems and the effective coefficients are computed. An interconversion procedure between the effective relaxation modulus and the effective creep compliance is carried out for obtaining information about both viscoelastic properties. The numerical inversion to the original temporal space is also performed. Finally, we exploit the potential of the approach and study the overall properties of a hierarchical viscoelastic composite structure representing the dermis.
ISSN:1537-6494
1537-6532
DOI:10.1080/15376494.2020.1722872