0600100 20260224154627.720241101235959.9 85201830198 001293163900001 10.1177/10812865241263788 35 s. P cav_un_epca*02542741081-2865304 (2025)979-1013Sage Poynting–Thomson model variational approach existence linearization cav_un_auth*0475406 Chiesa A. AT cav_un_auth*0101142 Kružík Martin UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0316230 Stefanelli U. AT K https://library.utia.cas.cz/separaty/2024/MTR/kruzik-0600100.pdf https://journals.sagepub.com/doi/10.1177/10812865241263788 GF21-06569K GA ČR cav_un_auth*0412957 8J23AT008 GA MŠk CZ cav_un_auth*0449358 We analyze the finite-strain Poynting–Thomson viscoelastic model. In its linearized small-deformation limit, this corresponds to the serial connection of an elastic spring and a Kelvin–Voigt viscoelastic element. In the finite-strain case, the total deformation of the body results from the composition of two maps, describing the deformation of the viscoelastic element and the elastic one, respectively. We prove the existence of suitably weak solutions by a time-discretization approach based on incremental minimization. Moreover, we prove a rigorous linx earization result, showing that the corresponding small-strain model is indeed recovered in the small-loading limit. WOS BA 10000 10100 10101 2026 RVO:67985556 https://hdl.handle.net/11104/0357460 S A MATERIALSSCIENCE.MULTIDISCIPLINARY|MATHEMATICS.INTERDISCIPLINARYAPPLICATIONS|MECHANICS 1.9 0.3 5.3 0.00283 0.451 2460 57 0.615 41.59 2.1 888 Q2 1.500 131 Q2 36.4 0.46 Q3 52.6 2025 85201830198 SCOPUS PUBMED 001293163900001 WOS cav_un_epca*0254274 Mathematics and Mechanics of Solids 30 4 2025 979 1013 1081-2865 1741-3028 Sage