Vladislav Bogdanov

A generalized approach was developed for solving contact problems in a dynamic elastic-plastic formulation. For the design of composite and reinforced materials, a technique for solving dynamic contact problems in more adequate an elastic-plastic mathematical formulation is used. To consider the physical nonlinearity of the deformation process, the method of successive approximations is used, which makes it possible to reduce the nonlinear problem to a solution of the sequences of linear problems. The problem of a plane strain state of a beam made from the composite reinforced two-layer material is being solved. The reinforced or armed composite material consists of three materials: metal of top thin layer, the main material of glass and the reinforcing crystalline seven fibers of basalt. Glass is a non-crystalline, often transparent amorphous solid, that has widespread practical and technological use in the modern industry. Glass has high strength and is not affected by the processes of aging of the material, corrosion, and creep. In addition, this material is cheap and widely available. The reinforced composite beam is rigidly linked to an absolutely solid base and on which an absolutely solid impactor acts from above in the centre on a different size of the area of initial contact.

Keywords : Plane, strain, stress, state, impact, composite, armed, reinforced, material, elastic-plastic, deformation.

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