Abstract:
The exact solution of the boundary value problem in the theory of large deformations of the collision unloading wave generated by the breakdown of the loaded elastoviscoplastic heavy layer with an inclined plane when over-coming resistance caused by dry friction is presented. The interaction of a discontinuities plane with the elastoplastic boundary continuing moving toward it have been considered.
Keywords:
elasticity, plasticity, viscosity, large deformation, dynamic problems, the unloading wave.
Citation:
L. V. Kovtanyuk, M. M. Rusanov, “About collision of wave of unloading with advancing elastoplastic boundary in flat heavy layer”, Sib. Zh. Ind. Mat., 18:3 (2015), 40–48; J. Appl. Industr. Math., 9:4 (2015), 519–526
\Bibitem{KovRus15}
\by L.~V.~Kovtanyuk, M.~M.~Rusanov
\paper About collision of wave of unloading with advancing elastoplastic boundary in flat heavy layer
\jour Sib. Zh. Ind. Mat.
\yr 2015
\vol 18
\issue 3
\pages 40--48
\mathnet{http://mi.mathnet.ru/sjim892}
\crossref{https://doi.org/10.17377/sibjim.2015.18.304}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3549838}
\elib{https://elibrary.ru/item.asp?id=23877189}
\transl
\jour J. Appl. Industr. Math.
\yr 2015
\vol 9
\issue 4
\pages 519--526
\crossref{https://doi.org/10.1134/S1990478915040080}
Linking options:
https://www.mathnet.ru/eng/sjim892
https://www.mathnet.ru/eng/sjim/v18/i3/p40
This publication is cited in the following 2 articles:
A. A. Burenin, E. A. Gerasimenko, L. V. Kovtanyuk, G. M. Sevastyanov, “ON THE DYNAMICS OF UNLOADING OF A CYLINDRICAL ELASTIC-VISCOPLASTIC LAYER UNDER AZIMUTHAL SHEAR”, Mech. Solids, 57:1 (2022), 65
E. A. Gerasimenko, L. V. Kovtanyuk, A. A. Burenin, “One-dimensional interaction of a cylindrical unloading wave with a moving elastic plastic boundary”, J. Appl. Mech. Tech. Phys., 59:2 (2018), 316–325
Citation in format AMSBIB
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