|
Eurasian Journal of Mathematical and Computer Applications, 2013, том 1, выпуск 1, страницы 41–61
(Mi ejmca72)
|
|
|
|
An asymptotic expansion for a solution to viscoelasticity equations
V. G. Romanov Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Аннотация:
A problem of waves excited by an arbitrary oriented impulsive point force is investigated for a linear system of viscoelasticity equations. It is assumed that the medium is heterogeneous, isotropic and its properties depend on the prehistory of a wavy process. We suppose that the modulus of elasticity is expressed as the sum of two items. The rst one is a function of space variables and the second item presents an integral operator of convolution type with respect to time. The structure of the solution to the Cauchy problem for a system of viscoelasticity equations is examined.
Ключевые слова:
viscoelasticity equations, point source, asymptotic expansion.
Поступила в редакцию: 29.01.2013
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/ejmca72
|
Статистика просмотров: |
Страница аннотации: | 66 | PDF полного текста: | 1 |
|