NUMERICAL SOLUTION OF THE PROBLEM OF DEFORMATION OF ELASTIC SOLIDS UNDER PULSED LOADING

Autor:	I. O. Bogulskii, Yu. M. Volchkov
Rok vydání:	2020
Předmět:	Shear (sheet metal) Energy conservation Dynamic problem Mechanics of Materials Mechanical Engineering Numerical analysis Mathematical analysis Monotonic function Deformation (meteorology) Condensed Matter Physics Constant (mathematics) Stability (probability) Mathematics
Zdroj:	Journal of Applied Mechanics and Technical Physics. 61:611-622
ISSN:	1573-8620 0021-8944
DOI:	10.1134/s002189442004015x
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::fc294e923a74296a9ccc5a30ba97393d https://doi.org/10.1134/s002189442004015x Zobrazit plný text záznamu Plný text ve formátu PDF