Model reduction by mean-field homogenization in viscoelastic composites. II. Application to rigidly reinforced solids

DOI10.1098/rspa.2020.0408zbMath1472.74182OpenAlexW3095872441WikidataQ102325416 ScholiaQ102325416MaRDI QIDQ5161128

Martín I. Idiart, Pierre Suquet, Noël Lahellec

Publication date: 29 October 2021

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://europepmc.org/articles/pmc7655753

zbMATH Keywords

compositesthermodynamicshomogenizationvariational methodsviscoelasticitymathematical modellingmechanics

Mathematics Subject Classification ID

Linear constitutive equations for materials with memory (74D05) Homogenization in equilibrium problems of solid mechanics (74Q05)

Related Items (3)

Effective properties of fractional viscoelastic composites via two‐scale asymptotic homogenization ⋮ Mean-field descriptions for the viscoelastic response of thermorheologically complex reinforced solids ⋮ Application of the variational EIV approach to linear viscoelastic phases governed by several internal variables -- examples with the generalized Maxwell law

Cites Work

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• Field statistics in linear viscoelastic composites and polycrystals
• Estimates for the overall linear properties of pointwise heterogeneous solids with application to elasto-viscoplasticity
• Effective behavior of linear viscoelastic composites: A time-integration approach
• Transformation field analysis of inelastic composite materials
• Model reduction by mean-field homogenization in viscoelastic composites. I. Primal theory

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