Comptes Rendus
Research article
Nomograms of solid linear viscoelastic materials in time and frequency domains
Comptes Rendus. Mécanique, Volume 353 (2025), pp. 309-320.

The mechanical behavior of isotropic solid viscoelastic material (VEM) can be described both in time or frequency domain considering temperature effects. Thus, one can make use of viscoelastic functions such as Young’s and/or shear moduli and the Poisson’s ratio. The viscoelastic dynamic behaviors in different temperature and frequency or time ranges can be grouped into a single graph, named nomogram. The present work proposes a method for constructing nomograms for viscoelastic functions, Young’s and shear relaxation moduli, and Poisson’s ratio, defined in the time domain. It also proposed a nomogram for the complex Poisson’s ratio in the frequency domain.

Le comportement mécanique des matériaux viscoélastiques solides isotropes (VEM) peut être décrit à la fois dans les domaines temporel et fréquentiel, en prenant en compte les effets de la température. Ainsi, il est possible d’utiliser des fonctions viscoélastiques telles que les modules de Young et/ou de cisaillement, ainsi que le coefficient de Poisson. Les comportements dynamiques viscoélastiques dans différentes plages de température, de fréquence ou de temps peuvent être regroupés en un seul graphique, appelé nomogramme. Ce travail propose une méthode pour construire des nomogrammes pour les fonctions viscoélastiques, les modules de relaxation de Young et de cisaillement, et le coefficient de Poisson, définis dans le domaine temporel. Il propose également un nomogramme pour le coefficient de Poisson complexe dans le domaine fréquentiel.

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DOI: 10.5802/crmeca.283
Keywords: Viscoelastic behavior, Viscoelastic functions, Complex Poisson’s ratio, Complex Young’s modulus, Complex shear modulus
Mots-clés : Comportement viscoélastique, Fonctions viscoélastiques, Coefficient de Poisson complexe, Module de Young complexe, Module de cisaillement complexe

Tiago Lima de Sousa 1, 2; Jéderson da Silva 1, 3; Jucélio Tomás Pereira 1; Carolina Mocelin Gomes Pires 1

1 Department of Mechanical Engineering, Federal University of Parana, Curitiba, 81530-000, Brazil
2 Department of Mechanical Engineering, Federal University of Pernambuco, Recife, 50740-550, Brazil
3 Department of Mechanical Engineering, Federal University of Technology – Parana, Londrina, 86036-370, Brazil
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
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     title = {Nomograms of solid linear viscoelastic materials in time and frequency domains},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {309--320},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {353},
     year = {2025},
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Tiago Lima de Sousa; Jéderson da Silva; Jucélio Tomás Pereira; Carolina Mocelin Gomes Pires. Nomograms of solid linear viscoelastic materials in time and frequency domains. Comptes Rendus. Mécanique, Volume 353 (2025), pp. 309-320. doi : 10.5802/crmeca.283. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.283/

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