Journal
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
Volume 190, Issue -, Pages 281-290Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2019.11.014
Keywords
Viscoelasticity; Fibrous composites; Asymptotic homogenization method; Non-ageing
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Funding
- Basic Science Department of the Institute Technological of Monterrey, Campus of Mexico State
- Proyecto Nacional de Ciencias Basicas (MATCOM)
- Universidad de La Habana
- Departamento de Matematicas y Mecanica IIMAS-UNAM and PREI-DGAPA-UNAM
- PAPIIT-DGAPA-UNAM [IA100919]
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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. (C) 2019 Elsevier Ltd. All rights reserved.
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