Application of modified Durbun’s algorithm in solving poroelastodynamic problems via boundary element method

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...

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Bibliographic Details
Main Authors: Ipatov, A. A., Igumnov, L. A., Dell’Isola, F., Litvinchuk, S. Yu
Format: Conference Proceeding
Language:English
Subjects:
Algorithms
Boundary element method
Boundary integral method
Boundary value problems
Impact loads
Integral equations
Laplace transforms
Mathematical analysis
Online Access:Get full text
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Summary: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.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0027676