@article{7ac89809f4704e1cb884736540a2d1cf,
title = "A generalisation of the integral Maxwell model: the gK-BKZ model—frame invariance and analytical solutions",
abstract = "In this work, we present a generalisation of the Maxwell integral model by developing a new relaxation modulus based on the Mittag-Leffler function. The new model provides a better fit to linear experimental data compared to a classical 2-mode Maxwell model. The model is improved to become frame invariant and several analytical solutions are derived to better understand the behaviour of the model.",
keywords = "74D05, 74D10, 76A05, 76A10, Generalised K-BKZ model, Linear viscoelasticity, Maxwell model, Mittag-Leffler",
author = "Leiva, {Rosal{\'i}a T.} and Ferr{\'a}s, {Lu{\'i}s L.} and Antonio Castelo and Morgado, {Maria Lu{\'i}sa} and Magda Rebelo and Juliana Bertoco and Afonso, {Alexandre M.}",
note = "Funding Information: info:eu-repo/grantAgreement/FCT/Concurso para Atribui{\c c}{\~a}o do Estatuto e Financiamento de Laborat{\'o}rios Associados (LA)/LA%2FP%2F0045%2F2020/PT# info:eu-repo/grantAgreement/FCT/Concurso de avalia{\c c}{\~a}o no {\^a}mbito do Programa Plurianual de Financiamento de Unidades de I&D (2017%2F2018) - Financiamento Base/UIDB%2F00532%2F2020/PT# info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F00532%2F2020/PT# info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00013%2F2020/PT# info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F00013%2F2020/PT# info:eu-repo/grantAgreement/FCT/Concurso de avalia{\c c}{\~a}o no {\^a}mbito do Programa Plurianual de Financiamento de Unidades de I&D (2017%2F2018) - Financiamento Base/UIDB%2F04621%2F2020/PT# info:eu-repo/grantAgreement/FCT/Concurso de avalia{\c c}{\~a}o no {\^a}mbito do Programa Plurianual de Financiamento de Unidades de I&D (2017%2F2018) - Financiamento Program{\'a}tico/UIDP%2F04621%2F2020/PT# info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00297%2F2020/PT# info:eu-repo/grantAgreement/FCT/Concurso de avalia{\c c}{\~a}o no {\^a}mbito do Programa Plurianual de Financiamento de Unidades de I&D (2017%2F2018) - Financiamento Program{\'a}tico/UIDP%2F00297%2F2020/PT# info:eu-repo/grantAgreement/FCT/Concurso de Projetos de I&D em Todos os Dom{\'i}nios Cient{\'i}ficos - 2022/2022.06672.PTDC/PT# The work was also funded by Fapesp-Funda{\c c}{\~a}o de Amparo {\`a} Pesquisa do Estado de S{\~a}o Paulo, Fapesp-2017/21105-6. Research was carried out using the computational resources of the Center for Mathematical Sciences Applied to Industry (CeMEAI), funded by FAPESP grant 2013/07375-0. Publisher Copyright: {\textcopyright} Springer Nature B.V. 2024.",
year = "2024",
month = mar,
doi = "10.1007/s11012-023-01751-5",
language = "English",
volume = "59",
pages = "363--384",
journal = "Meccanica",
issn = "0025-6455",
publisher = "Springer",
number = "3",
}