Boundary-element modelling of dynamics in external poroviscoelastic problems

被引：0
|
作者：
Igumnov, L. A. [1 ]
Litvinchuk, S. Yu [1 ]
Ipatov, A. A. [1 ]
Petrov, A. N. [2 ]
机构：
[1] Lobachevsky State Univ Nizhni Novgorod, Res Inst Mech, Nizhnii Novgorod, Russia
[2] Don State Tech Univ, Res & Educ Ctr Mat, Rostov Na Donu, Russia
来源：
5TH INTERNATIONAL CONFERENCE ON TOPICAL PROBLEMS OF CONTINUUM MECHANICS WITH A SPECIAL SESSION IN HONOR OF ALEXANDER MANZHIROV'S 60TH BIRTHDAY | 2018年 / 991卷
基金：
俄罗斯基础研究基金会;
关键词：
D O I：
10.1088/1742-6596/991/1/012034
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
A problem of a spherical cavity in porous media is considered. Porous media are assumed to be isotropic poroelastic or isotropic poroviscoelastic. The poroviscoelastic formulation is treated as a combination of Biot's theory of poroelasticity and elastic-viscoelastic correspondence principle. Such viscoelastic models as Kelvin-Voigt, Standard linear solid, and a model with weakly singular kernel are considered. Boundary field study is employed with the help of the boundary element method. The direct approach is applied. The numerical scheme is based on the collocation method, regularized boundary integral equation, and Radau stepped scheme.
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页数：8
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