Computation of the relaxation effective moduli for fibrous viscoelastic composites using the asymptotic homogenization method
Por:
Rodriguez-Ramos, R., Otero, J. A., Cruz-Gonzalez, O. L., Guinovart-Diaz, R., Bravo-Castillero, J., Sabina, F. J., Padilla, P., Lebon, F., Sevostianov, I
Publicada:
1 ene 2020
Resumen:
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. © 2019
Filiaciones:
Rodriguez-Ramos, R.:
Facultad de Matemática y Computación, Universidad de La Habana, San Lázaro y L, Vedado, La Habana, CP 10400, Cuba
Univ La Habana, Fac Matemat & Comp, Havana 10400, Cuba
Otero, J. A.:
Departamento de Ciencias, Escuela de Ingeniería y Ciencias, Tecnológico de Monterrey CEM, Atizapán de ZaragozaEM CP 52926, Mexico
Tecnol Monterrey CEM, Dept Ciencias, Escuela Ingn & Ciencias, Atizapon De Zaragoza 52926, Mexico
Cruz-Gonzalez, O. L.:
Aix-Marseille Univ, CNRS, Centrale Marseille, LMA UMR 7031, Marseille, France
Aix Marseille Univ, Cent Marseille, CNRS, LMA,UMR 7031, Marseille, France
Guinovart-Diaz, R.:
Facultad de Matemática y Computación, Universidad de La Habana, San Lázaro y L, Vedado, La Habana, CP 10400, Cuba
Univ La Habana, Fac Matemat & Comp, Havana 10400, Cuba
Bravo-Castillero, J.:
Universidad Nacional Autónoma de México, Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Alcaldía Álvaro ObregónCDMX 01000, Mexico
Univ Nacl Autonoma Mexico, Inst Invest Matemat Aplicadas & Sistemas, Alcaldia Alvaro Obregon 01000, Cdmx, Mexico
Sabina, F. J.:
Universidad Nacional Autónoma de México, Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Alcaldía Álvaro ObregónCDMX 01000, Mexico
Univ Nacl Autonoma Mexico, Inst Invest Matemat Aplicadas & Sistemas, Alcaldia Alvaro Obregon 01000, Cdmx, Mexico
Padilla, P.:
Universidad Nacional Autónoma de México, Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Alcaldía Álvaro ObregónCDMX 01000, Mexico
Univ Nacl Autonoma Mexico, Inst Invest Matemat Aplicadas & Sistemas, Alcaldia Alvaro Obregon 01000, Cdmx, Mexico
Lebon, F.:
Aix-Marseille Univ, CNRS, Centrale Marseille, LMA UMR 7031, Marseille, France
Aix Marseille Univ, Cent Marseille, CNRS, LMA,UMR 7031, Marseille, France
Sevostianov, I:
Department of Mechanical and Aerospace Engineering, New Mexico State University, Las Cruces, NM 88003, United States
New Mexico State Univ, Dept Mech & Aerosp Engn, Las Cruces, NM 88003 USA
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