Comparative Analysis of 3D Viscoelastic and Poroelastic Dynamic Boundary-Element Modelling-Reference-Cited by-同舟云学术

Comparative Analysis of 3D Viscoelastic and Poroelastic Dynamic Boundary-Element Modelling

Published:2014-12 Issue: Volume:709 Page:186-189
ISSN:1662-7482
Container-title:Applied Mechanics and Materials
language:
Short-container-title:AMM

Author:

Igumnov L.A.¹,Ipatov A.A.¹,Lebedeva E.A.¹

Affiliation:

1. Lobachevsky State University of Nizhni Novgorod

Abstract

3D dynamic boundary-value problems of linear viscoelasticity and poroelasticity are considered. Laplace integral transform and its numerical inversion are used. Classical viscoelastic models, such as Maxwell model, KelvinVoigt model, standard linear solid model, and model with weakly singular kernel (Abel type) are considered. Boundary integral equations (BIE) method is developed to solve three-dimensional boundary-value problems. A numerical modelling of wave propagation is done by means of boundary element approach.

Publisher

Trans Tech Publications, Ltd.

Link

https://www.scientific.net/AMM.709.186.pdf

Reference6 articles.

1. A.G. Ugodchikov, N.M. Hutoryanskii, Boundary element method in deformable solid mechanics, Kazan State University, Kazan, 1986. (In Russia).

2. M.A. Biot, Theory of propagation of elastic waves in a fluid-suturated porous solid, J. Acust. Soc. Amer. V. 28 (1956) 168-191.

3. M. Schanz, Wave Propagation in Viscoelastic and Poroelastic Continua, Springer, Berlin, (2001).

4. R. Cristensen Introduction to the theory of viscoelasticity, Mir, Moscow, 1974. (In Russia).

5. V.G. Bazhenov, L.A. Igumnov, Boundary Integral Equations & Boundary Element Methods in treating the problems of 3D elastodynamics with coupled fields, PhysMathLit, Moscow, 2008. (In Russia).