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.
引用
收藏
页数：8
相关论文
共 50 条
  • [21] The boundary-element method for the dynamics of a viscoelastic Maxwell fluid
    Skerget, L
    Pozarnik, M
    STROJNISKI VESTNIK-JOURNAL OF MECHANICAL ENGINEERING, 2002, 48 (12): : 645 - 662
  • [22] The Boundary-Element Approach to Modeling the Dynamics of Poroelastic Bodies
    Igumnov, Leonid
    Litvinchuk, Svetlana
    Ipatov, Aleksandr
    Iuzhina, Tatiana
    PROCEEDINGS OF THE SECOND INTERNATIONAL CONFERENCE ON THEORETICAL, APPLIED AND EXPERIMENTAL MECHANICS, 2019, 8 : 311 - 315
  • [23] Boundary-element method
    CAE, Computer-Aided Engineering, 1993, 12 (01):
  • [24] A frequency domain boundary element formulation for dynamic interaction problems in poroviscoelastic media
    Argeso, Hakan
    Mengi, Yalcin
    COMPUTATIONAL MECHANICS, 2014, 53 (02) : 215 - 237
  • [25] A frequency domain boundary element formulation for dynamic interaction problems in poroviscoelastic media
    Hakan Argeso
    Yalcin Mengi
    Computational Mechanics, 2014, 53 : 215 - 237
  • [26] A FINITE-ELEMENT BOUNDARY-ELEMENT TREATMENT FOR THE ANALYSIS OF ELASTOHYDRODYNAMIC LUBRICATION PROBLEMS
    KARAMI, G
    KUHN, G
    COMPUTATIONAL MECHANICS, 1994, 14 (04) : 289 - 297
  • [27] Solving rolling-theory problems by the boundary-element method
    Milenin, AA
    RUSSIAN METALLURGY, 1997, (05): : 45 - 52
  • [28] TREATMENT OF NONLINEAR FRACTURE PROBLEMS USING BOUNDARY-ELEMENT METHOD
    RUSSWURM, S
    KUHN, G
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1991, 71 (06): : T608 - T611
  • [29] CONTACT PROBLEMS WITH NONCONFORMING DISCRETIZATIONS USING BOUNDARY-ELEMENT METHOD
    PARIS, F
    BLAZQUEZ, A
    CANAS, J
    COMPUTERS & STRUCTURES, 1995, 57 (05) : 829 - 839
  • [30] APPLICATION OF THE BOUNDARY-ELEMENT METHOD TO THE SOLUTION OF ANISOTROPIC ELECTROMAGNETIC PROBLEMS
    ZHOU, H
    VANOOSTEROM, A
    MEDICAL & BIOLOGICAL ENGINEERING & COMPUTING, 1994, 32 (04) : 399 - 405
12345