Vincenzo Ciancio†
Abstract: In this contribution, we revisit the physical mathematical frame- work introduced in a previous paper, where stress-strain relations for viscoanelastic isotropic media were derived within irreversible thermo- dynamics with internal variables. We present the fundamental equa- tions and briefly discuss their conceptual implications. In subsequent paper quantitative applications of the model for the analysis of physical phenomena in heat propagation can also be extended to the more general case of an anisotropic medium. On this occasion, the model was used to investigate heat propagation phenomena, with results bench- marked against the Fourier and Cattaneo–Vernotte frameworks.
Keywords: viscoanelasticity, irreversible thermodynamics, internal vari- ables, heat equation.
MSC: 74D05, 80A17, 35Q79.
DOI 10.56082/annalsarscimath.2025.3.277
† vincenzo.ciancio@accademiapeloritana.it, Accademia Peloritana dei Pericolanti, Classe di Scienze Fisiche, Matematiche e Naturali, Piazza S. Pugliatti 1, 98121 Messina, Italy
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application, Volume 17 no 3, 2025
