517.1:539.434 Mechanical analog modeling of the inelastic non-isothermal deformation processes

Zarubin V. S. (Bauman Moscow State Technical University), Kuvyrkin G. N. (Bauman Moscow State Technical University), Savelyeva I. Y. (Bauman Moscow State Technical University)

MECHANICAL ANALOG, MATHEMATICAL MODEL, INELASTIC NON-ISOTHERMAL DEFORMATION, SINGLE-AXIS LOADING


doi: 10.18698/2309-3684-2014-3-2538


The mechanical analog, allowing qualitatively and quantitatively describe the main features of inelastic deformation of the structural material at varying temperatures is presented. Analog is constructed using physical conceptions of polycrystalline structural material microstructures and the micromechanism of deformation process in combination with known provisions of the phenomenological theory of plasticity and creep. In the context of the particular modes of thermal and mechanical impacts on a heat-stressed structure this approach allows choosing a rational option of the structural material model adequately describing the most essential effects specific for the process of inelastic non-isothermal deformation. A variant of such a model under material singleaxis loading is developed and an example of its parameter numerical values selection is presented.


[1] Novikov I.I. Defects of a crystal structure of metals. Moscow, Metallurgiya Publ., 1983, 232 p.
[2] Kelly A., Groves G.W. Crystallography and Crystal Defects. Longman, London, 1970, 496 p.
[3] Polukhin P.I., Gorelik S.S., Vorontsov V.K. Physical bases of plastic deformation. Moscow, Metallurgiya Publ., 1982, 584 p.
[4] Rabotnov Yu.N. Mechanics of a deformable solid body. Moscow, Nauka Publ., 1988, 712 p.
[5] Malinin N.N. Applied plasticity and creep theory. Moscow, Mashinostroenie Publ., 1975, 400 p.
[6] Shtremel M.A. Durability of alloys. Part 1. Defects of a lattice. Moscow, Metallurgiya Publ., 1982, 280 p.
[7] Zarubin V.S. Applied problems of thermodurability of structure elements. Moscow, Mashinostroenie Publ., 1985, 296 p.
[8] Arzamasov B.N., ed. Scientific bases of materials science. Moscow, BMSTU Publ., 1994, 366 p.
[9] Zarubin V.S., Kuvyrkin G.N. Mathematical models of continuum mechanics and electrodynamics. Moscow, BMSTU Publ., 2008, 512 p.
[10] Gusenkov A.P. Durability at isothermal and non-isothermal lowcyclic loading. Moscow, Nauka Publ., 1979, 296 p.
[11] Makhutov N.A., Gadenin M.M., Gokhfeld D.A. The state equations at low-cyclic loading. Moscow, Nauka Publ., 1981, 344 p.
[12] Zarubin V.S., Kuvyrkin M.A. Special features of mathematical modeling of technical instruments. Mathematical Modeling and Computational Methods, 2014, no. 1, pp. 5–18.
[13] Zarubin V.S., Kuzmin M.A. Izvestiya vysshikh uchebnykh zavedeniy. Mashinostroenie. Proceedings of Universities. Mechanical Engineering, 1967, no. 8, pp. 31–35.


Zarubin V., Kuvyrkin G., Savelyeva I. Mechanical analog modeling of the inelastic non-isothermal deformation processes. Маthematical Modeling and Coтputational Methods, 2014, №3 (3), pp. 25-38



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