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

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:190

Article

Rodriguez-Ramos, R.¹  Otero, J. A.²  Cruz-Gonzalez, O. L.³  Guinovart-Diaz, R.¹  Bravo-Castillero, J.⁴  Sabina, F. J.⁴  Padilla, P.⁴  Lebon, F.³  Sevostianov, I⁵ 

[1] Univ La Habana, Fac Matemat & Comp, Havana 10400, Cuba

[2] Tecnol Monterrey CEM, Dept Ciencias, Escuela Ingn & Ciencias, Atizapon De Zaragoza 52926, Mexico

[3] Aix Marseille Univ, Cent Marseille, CNRS, LMA,UMR 7031, Marseille, France

[4] Univ Nacl Autonoma Mexico, Inst Invest Matemat Aplicadas & Sistemas, Alcaldia Alvaro Obregon 01000, Cdmx, Mexico

[5] New Mexico State Univ, Dept Mech & Aerosp Engn, Las Cruces, NM 88003 USA

关键词: Viscoelasticity;    Fibrous composites;    Asymptotic homogenization method;    Non-ageing;   

DOI  :  10.1016/j.ijsolstr.2019.11.014

来源: Elsevier

【 摘 要 】

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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