Тип публикации: доклад, тезисы доклада, статья из сборника материалов конференций
Конференция: International Conference on Finite Difference Methods - Theory and Applications (FDM - T and A); Lozenetz, BULGARIA; Lozenetz, BULGARIA
Год издания: 2015
Идентификатор DOI: 10.1007/978-3-319-20239-6_38
Ключевые слова: Viscoelasticity; Wave motion; Dissipative difference scheme; Computational algorithm, computational algorithm, dissipative difference scheme, viscoelasticity, wave motion
Аннотация: Numerical algorithm for solving dynamic problems of the theory of viscoelastic medium of Kelvin-Voigt is worked out on the basis of Ivanov's method of constructing finite difference schemes with prescribed dissipative properties. In one-dimensional problem the results of computations are compared with the exact solution, describingПоказать полностьюthe propagation of plane monochromatic waves. When solving two-dimensional problems, the total approximation method based on the splitting of the system with respect to the spatial variables is applied. The algorithm is tested on solving the problem of traveling surface waves. For illustration of the method, the numerical solution of Lamb's problem about instantaneous action of concentrated force on the boundary of a half-plane is represented in viscoelastic formulation.
Журнал: FINITE DIFFERENCE METHODS, THEORY AND APPLICATIONS
Выпуск журнала: Vol. 9045
Номера страниц: 348-355
ISSN журнала: 03029743
Место издания: BERLIN
Издатель: SPRINGER-VERLAG BERLIN