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A numerical-analytic structural model of thermoelastoplastic deformation of a composite material cross-reinforced with fibers in arbitrary directions is developed on the basis of the time-steps algorithm. The materials of constituents of the composition are isotropic; their plastic deformation is described by the theory of flow with isotropic hardening taking into account the dependence of the loading function on temperature. Conditions determining thermoelastic deformation, unloading, neutral and active loading of thermosensitive constituents of the composition are obtained. The coupled problems of the thermophysical and mechanical behavior of reinforced materials are considered. Structural relationships that are necessary for solving the thermophysical component of the investigated problem are presented. The developed structural model is focused on the use of explicit numerical integration schemes for both elastoplastic and thermophysical problems. [ABSTRACT FROM AUTHOR]