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Numerical Solution of the Problem of Deformation of Elastic Solids under Pulsed Loading. / Bogulskii, I. O.; Volchkov, Yu M.
в: Journal of Applied Mechanics and Technical Physics, Том 61, № 4, 01.07.2020, стр. 611-622.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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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