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The Temetos platform is designed to conduct computational experiments at all stages of analysis and study of continuum mechanics models. A module has been developed to study the stress–strain state of a system of bodies with allowance for inelastic strains and contact interaction. It was used to analyze a fuel element that included up to 100 fuel pellets and a shell. The platform's solvers are applied to astrophysics problems. Models of the formation of accretion disks in binary star systems that allow the interpretation of observation results are constructed. [ABSTRACT FROM AUTHOR]