Mean-field descriptions for the viscoelastic response of thermorheologically complex reinforced solids

Homogenization; Thermal stresses; Thermo-viscoelasticity; Variational methods; Correspondence principle; Internal variables; Material systems; Mean-field description; Reduced description; Special class; Thermoviscoelasticity; Viscoelastic response; Materials Science (all); Mechanics of Materials; Mechanical Engineering; Physics and Astronomy (all); General Physics and Astronomy; General Materials Science

Abstract :

[en] Mean-field descriptions for the thermo-viscoelastic response of reinforced solids undergoing small deformations but large temperature changes are presented. The descriptions follow from an approximate homogenization scheme that identifies macroscopic internal variables with low-order statistics of the microscopic internal variable fields as a result of a variational model reduction. Unlike descriptions based on the correspondence principle, these descriptions can account for thermorheologically complex constitutive laws with multiple internal times and/or temperature-dependent stiffnesses, and can provide information not only on the macroscopic response but also on the statistics of the microscopic mechanical fields; it is further demonstrated that the descriptions can even accommodate a special class of hereditary laws often employed for polymeric materials. Simple expressions for material systems with elastically rigid but thermally dilatant reinforcements are provided. By way of example, reduced descriptions are presented for a special class of material systems for which the thermomechanical response can be computed exactly by means of the correspondence principle. In the case of isotropic particle-reinforced solids under hydrostatic loadings, the reduced descriptions can reproduce the exact response identically; in the case of transversely isotropic fiber-reinforced solids subject to monotonic coolings, the reduced and exact descriptions provide indistinguishable macroscopic strains and stresses for the entire range of temperature drops and cooling rates considered.

Disciplines :

Mechanical engineering
Materials science & engineering

Author, co-author :

SUAREZ AFANADOR, Camilo Andrés ; University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) > SPASYS

Lahellec, Noel; Aix Marseille Univ, CNRS, Centrale Marseille, LMA UMR, Marseille, France

Idiart, Martín I. ; Centro Tecnológico Aeroespacial/Departamento de Aeronáutica, Facultad de Ingeniería, Universidad Nacional de La Plata, La Plata, Argentina ; Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), CCT La Plata, La Plata, Argentina

External co-authors :

yes

Language :

English

Title :

Mean-field descriptions for the viscoelastic response of thermorheologically complex reinforced solids

Publication date :

March 2023

Journal title :

European Journal of Mechanics. A, Solids

ISSN :

0997-7538

Publisher :

Elsevier Ltd

Volume :

Pages :

104859

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://api.elsevier.com/content/article/PII:S0997753822002893?httpAccept=text/xml

Funding text :

The work of C.S. and N.L. was supported by the Excellence Initiative of Aix-Marseille University - A*MIDEX, a French “Investissements d’Avenir” programme, France in the framework of the Labex MEC. The work of M.I.I. was supported by the Air Force Office of Scientific Research (U.S.A.) under award number FA9550-19-1-0377 .

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since 28 November 2023

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