Application of Modified Durbun's Algorithm in Solving Poroelastodynamic Problems via Boundary Element Method

被引：0
|
作者：
Ipatov, A. A. [1 ]
Igumnov, L. A. [1 ]
Dell'Isola, F. [1 ]
Litvinchuk, S. Yu [1 ]
机构：
[1] Natl Res Lobachevsky State Univ Nizhny Novgorod, Res Inst Mech, Nizhnii Novgorod, Russia
来源：
INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019 | 2020年 / 2293卷
关键词：
D O I：
10.1063/5.0027676
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The present paper is dedicated to numerical solving of three dimensional boundary-value problems in poroelastic formulation. Boundary element method and boundary integral equation method are applied to obtain Laplace domain solution of boundary-value problem. Modified Durbin's algorithm of numerical inversion of Laplace transform is applied to perform solution in time domain. A problem of the three-dimensional poroelastic prismatic solid clamped at one end, and subjected to uniaxial and uniform impact loading at another is considered.
引用
收藏
页数：4
相关论文
共 50 条
  • [1] APPLICATION OF THE MODIFIED BOUNDARY ELEMENT METHOD FOR SOLVING ELASTO-PLASTIC PROBLEMS
    Fedotov, V. P.
    Spevak, L. F.
    VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2008, (02): : 118 - 125
  • [2] Application of the Boundary Element Method to Solving the Plane Elastic Problems
    Garif’yanov A.F.
    Gimadiev R.S.
    Russian Aeronautics, 2022, 65 (03): : 467 - 473
  • [3] APPLICATION OF THE MODIFIED BOUNDARY ELEMENT METHOD FOR THE SOLUTION OF PARABOLIC PROBLEMS
    Fedotov, V. P.
    Nefedova, O. A.
    VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2011, (04): : 93 - 101
  • [4] Application of modified indirect boundary element method to electromagnetic field problems
    Song, Bin, 1600, (42):
  • [5] Modified algorithm of the R-functions method for solving electromagnetics boundary value problems
    Basarab, MA
    MMET 2000: INTERNATIONAL CONFERENCE ON MATHEMATICAL METHODS IN ELECTROMAGNETIC THEORY, VOLS 1 AND 2, CONFERENCE PROCEEDINGS, 2000, : 700 - 702
  • [6] An efficient method for solving elliptic boundary element problems with application to the tokamak vacuum problem
    Pletzer, Alexander
    Strauss, H. R.
    COMPUTER PHYSICS COMMUNICATIONS, 2011, 182 (10) : 2077 - 2083
  • [7] An Application of Isogeometric Analysis and Boundary Integral Element Method for Solving Nonlinear Contact Problems
    Camacho Gutierrez, Stephanie Virginia
    Jauregui Correa, Juan Carlos
    Dominguez-Gonzalez, Aurelio
    Augusto Gomez-Loenzo, Roberto
    APPLIED SCIENCES-BASEL, 2020, 10 (07):
  • [8] A modified indirect boundary element method for solving two-dimensional sound radiation problems
    Provatidis, CG
    Zafiropoulos, NK
    FORSCHUNG IM INGENIEURWESEN-ENGINEERING RESEARCH, 2003, 68 (01): : 8 - 18
  • [9] APPLICATION OF THE BOUNDARY ELEMENT METHOD IN ELECTRODEPOSITION PROBLEMS
    ZAMANI, NG
    PETERS, FH
    APPLIED MATHEMATICAL MODELLING, 1986, 10 (04) : 262 - 265
  • [10] Finite element method for solving geodetic boundary value problems
    Faskova, Zuzana
    Cunderlik, Robert
    Mikula, Karol
    JOURNAL OF GEODESY, 2010, 84 (02) : 135 - 144
12345