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.

Cite: Bogulskii I.O. , Volchkov Y.M.
NUMERICAL SOLUTION OF THE PROBLEM OF DEFORMATION OF ELASTIC SOLIDS UNDER PULSED LOADING
Journal of Applied Mechanics and Technical Physics. 2020. V.61. N4. P.611-622. DOI: 10.1134/s002189442004015x WOS Scopus РИНЦ OpenAlex

Dates:

Submitted:	Mar 2, 2020
Published print:	Oct 3, 2020

Identifiers:

Web of science:	WOS:000574746500015
Scopus:	2-s2.0-85091829297
Elibrary:	45289318
OpenAlex:	W3090807226

Citing: Пока нет цитирований

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