https://doi.org/10.1140/epjp/s13360-024-05724-9
Regular Article
On the compressible quasilinear viscoelastic simple uniaxial deformation
Dipartimento di Matematica e Fisica ’E. De Giorgi’, Università del Salento, Via per Arnesano, 73100, Lecce, Italy
b
riccardo.depascalis@unisalento.it
Received:
29
July
2024
Accepted:
5
October
2024
Published online:
14
November
2024
We study the compressible simple uniaxial deformation within the quasilinear viscoelasticity theory. We impose a longitudinal stretch (in both extension and compression), and we investigate the role of compressibility in such a deformation by computing the lateral deformation and the uniaxial stress for an isotropic homogeneous material sample under lateral-free traction conditions. Several tests are examined, and conclusions are drawn based on a set of three strain energy densities that describe compressible hyperelastic behaviours by varying the set of involved parameters. The dissipated energy is also computed for a typical one-cycle experimental test. Furthermore, we examine recent experiments on visco-elastomeric syntactic foams in light of our results, comparing them with the simplified model using the rate-independent nonlinear Poisson functions.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
