info:eu-repo/semantics/article Abstract: Thermomechanical behavior of hot mix asphalt (HMA) is considered. Its highly irregular microstructure is covered by the hierarchical approach. A brief survey of endochronic thermodynamics precedes constitutive consideration. Two constitutive models are discussed: classical Perzyna’s approach and tensor representation based approach. The second is superior due to its possibility to cover properly diverse multiaxial nonproportioal stress-strain histories. However, due to availability of experimental data the first model is applied to rutting problem through Abaqus FEM code with material user subroutine developed by the authors. Vakulenko’s thermodynamic time appropriate for aging is incorporated. Hyperelasticviscoplastic behavior is considered and some preliminary results are presented. eng Keywords: endochronic memory, nonlinear hyperelastoplasticity, thermodynamic restrictions, asphalt rutting Thermomechanics of Soft Inelastics Bodies with Application to Asphalt Behavior 2014 https://phaidrabg.bg.ac.rs/o:30591 doi:10.2298/TSCI130812184K ISSN: 0354-9836 application/pdf 634263 bytes http://creativecommons.org/licenses/by-nc-nd/4.0/legalcode THERMAL SCIENCE 18(1) Kudrjavceva, Ljudmila T. Mićunović, Milan V. Topalović, Marko D. Sedmak, Simon A.