Abstract
The problem that is solved and described in the article is the need to synthesize new technical solutions for the elements of military equipment. To this end, scientific principles have been developed and implemented, mathematical and numerical models for the study of the stress-strain state of bodies made of modern materials in the conditions of contact interaction and elastic-plastic deformation have been improved. A fundamental feature is the use of microstructural models of the properties of materials in volume and on the surface. In addition, at the macro-scale level, a more general variational statement has been developed that takes into account physical and structural nonlinearities. This gives significantly higher opportunities in substantiating better technical solutions of elements of military equipment with tactical and technical and technical characteristics at the world level by conducting studies of the stress-strain state of contacting bodies. A variational formulation based on a modified Kalker principle has been developed for this purpose. The problem is stated with respect to the increments of the contact pressure. The discretization is performed by means of the boundary element method. Besides, another formulation via variational inequalities is developed. In this case the contact problem is stated for thedisplacement increments of the surface points of the two bodies. Correspondingly, discretization is performed by means of the finite element method. The resolving system of equations and inequalities is ultimately derived in the general form. The analysis of the stress-strain state of the contacting bodies with account for their elasto-plastic deformations is hence performed in the most general form. This problem statement forms a basis for the analysis and justification of design solutions for machine elements by strength criteria. Keywords: : military and civilian vehicles; stress-strain state; contact; tactical and technical characteristics
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