Тип публикации: статья из журнала

Год издания: 2020

Идентификатор DOI: 10.1134/S002189442004015X

Ключевые слова: numerical methods, dissipation constants, pulsed loading, elastic deformable solids

Аннотация: 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 enПоказать полностьюergy 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.

Журнал: JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS

Выпуск журнала: Vol. 61, Is. 4

Номера страниц: 611-622

ISSN журнала: 00218944

Место издания: NEW YORK

Издатель: MAIK NAUKA/INTERPERIODICA/SPRINGER

• Bogulskii I.O. (Siberian Fed Univ, Krasnoyarsk 660041, Russia; Krasnoyarsk State Agr Univ, Krasnoyarsk 660049, Russia)
• Volchkov Yu. M. (Russian Acad Sci, Lavrentyev Inst Hydrodynam, Siberian Branch, Novosibirsk 630090, Russia; Novosibirsk State Univ, Novosibirsk 630090, Russia)

• Web of Science Core Collection
• Scopus