Título:	Mathematical models for arched beams in viscoelasticity
Autor(es):	Silva, Marcio Antonio Jorge da Ma, To Fu
ORCID:	https://orcid.org/0000-0002-4806-886X https://orcid.org/0000-0002-5746-6229
Afiliação do autor:	State University of Londrina, Department of Mathematics University of Brasília, Department of Mathematics
Assunto:	Vigas Sistemas hiperbólicos Viscoelasticidade Memória
Data de publicação:	dez-2024
Editora:	Elsevier
Referência:	SILVA, Marcio Antonio Jorge da; MA, To Fu. Mathematical models for arched beams in viscoelasticity. Applied Mathematical Modelling, [S.l.], v. 140, e115890, 2025. DOI: https://doi.org/10.1016/j.apm.2024.115890. Disponível em: https://www.sciencedirect.com/science/article/pii/S0307904X24006437?via%3Dihub. Acesso em: 21 jan. 2026.
Abstract:	This article is mainly focused on the progress of mathematical models for arched beams of Bresse type within the viscoelastic theory given by Boltzmann-Volterra. We provide a comprehensive analysis of the modeling for curved beam systems by taking into account viscous-mechanical constitutive laws for the main tensors acting on the governing equations, namely, the shear force, the axial load, and the bending moment. As a result, new classes of viscoelastic BresseBoltzmann-Volterra problems are presented in different scenarios, shedding light on the interplay between memory effects, the resulting (visco-)elastic stress-strain relations, and the sensibility of viscoelastic couplings given by the symmetry of the memory terms intrinsically coming from the modeling.
Unidade Acadêmica:	Instituto de Ciências Exatas (IE) Departamento de Matemática (IE MAT)
Programa de pós-graduação:	Programa de Pós-Graduação em Matemática
DOI:	https://doi.org/10.1016/j.apm.2024.115890
Versão da editora:	https://www.sciencedirect.com/science/article/pii/S0307904X24006437?via%3Dihub
Aparece nas coleções:	Artigos publicados em periódicos e afins

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