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Numerical Solution of the Problem of Deformation of Elastic Solids under Pulsed Loading. / Bogulskii, I. O.; Volchkov, Yu M.

In: Journal of Applied Mechanics and Technical Physics, Vol. 61, No. 4, 01.07.2020, p. 611-622.

Research output: Contribution to journal › Article › peer-review

Harvard

Bogulskii, IO & Volchkov, YM 2020, 'Numerical Solution of the Problem of Deformation of Elastic Solids under Pulsed Loading', Journal of Applied Mechanics and Technical Physics, vol. 61, no. 4, pp. 611-622. https://doi.org/10.1134/S002189442004015X

APA

Bogulskii, I. O., & Volchkov, Y. M. (2020). Numerical Solution of the Problem of Deformation of Elastic Solids under Pulsed Loading. Journal of Applied Mechanics and Technical Physics, 61(4), 611-622. https://doi.org/10.1134/S002189442004015X

Vancouver

Bogulskii IO, Volchkov YM. Numerical Solution of the Problem of Deformation of Elastic Solids under Pulsed Loading. Journal of Applied Mechanics and Technical Physics. 2020 Jul 1;61(4):611-622. doi: 10.1134/S002189442004015X

Author

Bogulskii, I. O. ; Volchkov, Yu M. / Numerical Solution of the Problem of Deformation of Elastic Solids under Pulsed Loading. In: Journal of Applied Mechanics and Technical Physics. 2020 ; Vol. 61, No. 4. pp. 611-622.

BibTeX

@article{f4bc821eb1044d00a05b396697838be0,
title = "Numerical Solution of the Problem of Deformation of Elastic Solids under Pulsed Loading",
abstract = "Three methods of approximation of lower non-differential terms in equations of dynamic problems of mechanics of deformable solids are studied with the use of explicit algorithms of the numerical solution based on several local approximations of each of the sought functions by linear polynomials. Additional equations based on the energy conservation law are formulated in the course of algorithm construction. The properties (dissipativity, monotonicity, and stability) of the proposed schemes are studied. Results of the numerical solution of the problem of deformation of an elastic plate with constant shear strains over the plate thickness (Timoshenko model) are presented. Results of the numerical solution of the problem of deformation of an elastic disk under pulsed loading are compared with the analytical solution of this problem.",
keywords = "dissipation constants, elastic deformable solids, numerical methods, pulsed loading",
author = "Bogulskii, {I. O.} and Volchkov, {Yu M.}",
year = "2020",
month = jul,
day = "1",
doi = "10.1134/S002189442004015X",
language = "English",
volume = "61",
pages = "611--622",
journal = "Journal of Applied Mechanics and Technical Physics",
issn = "0021-8944",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "4",

}

RIS

TY - JOUR

T1 - Numerical Solution of the Problem of Deformation of Elastic Solids under Pulsed Loading

AU - Bogulskii, I. O.

AU - Volchkov, Yu M.

PY - 2020/7/1

Y1 - 2020/7/1

N2 - Three methods of approximation of lower non-differential terms in equations of dynamic problems of mechanics of deformable solids are studied with the use of explicit algorithms of the numerical solution based on several local approximations of each of the sought functions by linear polynomials. Additional equations based on the energy conservation law are formulated in the course of algorithm construction. The properties (dissipativity, monotonicity, and stability) of the proposed schemes are studied. Results of the numerical solution of the problem of deformation of an elastic plate with constant shear strains over the plate thickness (Timoshenko model) are presented. Results of the numerical solution of the problem of deformation of an elastic disk under pulsed loading are compared with the analytical solution of this problem.

AB - Three methods of approximation of lower non-differential terms in equations of dynamic problems of mechanics of deformable solids are studied with the use of explicit algorithms of the numerical solution based on several local approximations of each of the sought functions by linear polynomials. Additional equations based on the energy conservation law are formulated in the course of algorithm construction. The properties (dissipativity, monotonicity, and stability) of the proposed schemes are studied. Results of the numerical solution of the problem of deformation of an elastic plate with constant shear strains over the plate thickness (Timoshenko model) are presented. Results of the numerical solution of the problem of deformation of an elastic disk under pulsed loading are compared with the analytical solution of this problem.

KW - dissipation constants

KW - elastic deformable solids

KW - numerical methods

KW - pulsed loading

UR - http://www.scopus.com/inward/record.url?scp=85091829297&partnerID=8YFLogxK

U2 - 10.1134/S002189442004015X

DO - 10.1134/S002189442004015X

M3 - Article

AN - SCOPUS:85091829297

VL - 61

SP - 611

EP - 622

JO - Journal of Applied Mechanics and Technical Physics

JF - Journal of Applied Mechanics and Technical Physics

SN - 0021-8944

IS - 4

ER -

ID: 25678331