Computation of the relaxation effective moduli for fibrous viscoelastic composites using the asymptotic homogenization method

A two-phase parallel fibre-reinforced periodic viscoelastic composite is considered wherein the constituents are isotropy. Simple closed-form formulae are obtained for the effective properties of composites with square and hexagonal cells by means of the two-scale asymptotic homogenization method. T...

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Bibliographic Details
Published in:International journal of solids and structures 2020-05, Vol.190, p.281-290
Main Authors: Rodríguez-Ramos, R., Otero, J.A., Cruz-González, O.L., Guinovart-Díaz, R., Bravo-Castillero, J., Sabina, F.J., Padilla, P., Lebon, F., Sevostianov, I.
Format: Article
Language:English
Subjects:
Asymptotic homogenization method
Asymptotic methods
Asymptotic properties
Computation
Constituents
Fiber composites
Fibrous composites
Hexagonal cells
Homogenization
Isotropy
Laplace transforms
Mechanics
Non-ageing
Periodic structures
Physics
Solid mechanics
Viscoelasticity
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Summary:A two-phase parallel fibre-reinforced periodic viscoelastic composite is considered wherein the constituents are isotropy. Simple closed-form formulae are obtained for the effective properties of composites with square and hexagonal cells by means of the two-scale asymptotic homogenization method. The computation of the effective properties of non-ageing linear viscoelastic composites with periodic structure containing long cylindrical fibres of circular cross-section is performed. The local problems and overall viscoelastic properties are obtained in explicit form using the elastic-viscoelastic correspondence principle and assuming perfect contact conditions at the interface between constituents. Comparison with different viscoelastic models allowing explicit inverse Laplace transforms such as, traditional Maxwell and Kelvin models and Rabotnov-Scott Blair fractional exponential model are shown. The analytical results are verified by comparison with computational ones.
ISSN:0020-7683
1879-2146
DOI:10.1016/j.ijsolstr.2019.11.014