Numerical Solution of the Problem of Deformation of Elastic Solids under Pulsed Loading

I. O. Bogulskii, Yu M. Volchkov

    Research output: Contribution to journalArticlepeer-review

    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.

    Original languageEnglish
    Pages (from-to)611-622
    Number of pages12
    JournalJournal of Applied Mechanics and Technical Physics
    Volume61
    Issue number4
    DOIs
    Publication statusPublished - 1 Jul 2020

    Keywords

    • dissipation constants
    • elastic deformable solids
    • numerical methods
    • pulsed loading

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