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

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. Add...

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Vydáno v:Journal of applied mechanics and technical physics Ročník 61; číslo 4; s. 611 - 622
Hlavní autoři: Bogulskii, I. O., Volchkov, Yu. M.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Moscow Pleiades Publishing 01.07.2020
Springer Nature B.V
Témata:
Algorithms
Applications of Mathematics
Approximation
Classical and Continuum Physics
Classical Mechanics
Differential equations
Elastic deformation
Elastic plates
Elastic properties
Energy conservation
Energy conservation law
Exact solutions
Fluid- and Aerodynamics
Formability
Functions (mathematics)
Mathematical analysis
Mathematical Modeling and Industrial Mathematics
Mechanical Engineering
Physics
Physics and Astronomy
Polynomials
numerical methods
elastic deformable solids
pulsed loading
dissipation constants
ISSN:0021-8944, 1573-8620
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Shrnutí: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.
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ISSN:0021-8944
1573-8620
DOI:10.1134/S002189442004015X