Geodesic
The construction of the deformation diagrams of metals and
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 18 (2018) no. 4, pp. 381-389.

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The influence of friction forces on the dynamic deformation of elastoviscoplastic tablet specimens was numerically and experimentally investigated. The main dependencies of their shape changing for metals and alloys have been established. A criterion of the shape changing of tablet specimens is proposed. A new method for identifying of the coefficients of dry friction at contact surfaces, depending on shape changing of the tablet specimens, based on numerical modeling of an axisymmetric dynamic problem and a rapidly convergent method of successive approximations was developed. The division of the two-parameter identification problem into two problems of one-parameter parameterization is theoretically justified with a high degree of reliability: the problem of determining of the friction coefficient and the problem of construction of the true diagram of dynamic deformation in this experiment with the friction coefficient found earlier. As a result, the dynamic deformation diagrams with frictional forces and radial inertia consideration are constructed using the iterative method. In known approximation methods of construction of the deformation diagrams with frictional forces and radial inertia consideration, friction coefficients are assumed to be known, whereas methods for their determination in experiments with impact compression are practically unavailable. 
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V. G. Bazhenov; D. L. Osetrov; A. A. Ryabov. The construction of the deformation diagrams of metals and. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 18 (2018) no. 4, pp. 381-389. http://geodesic.mathdoc.fr/item/ISU_2018_18_4_a1/

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