Boundary-Element Modeling of 3-D Poroelastic Half-Space Dynamics

Leonid A. Igumnov; Svetlana Litvinchuk; Andrey Petrov; Alexander A. Belov

doi:10.4028/www.scientific.net/AMR.1040.881

Paper Titles

Efficiency of Balancing by Liquid-Type Automatic Balancing Devices
p.858

Distribution Regularities of Shear Deformations in Incompressible Nonlinear Elastic Solids
p.864

A Decrease of Residual Stresses in the Elastic-Plastic-Creep Medium at Temperature Influence
p.870

Conjugate Heat Transfer in the Interaction of the Viscous Liquid with Technological Elements of Energy Systems in Conditions of their Internal Contour Moving
p.876

Boundary-Element Modeling of 3-D Poroelastic Half-Space Dynamics
p.881

Automatic Balancing Time of any Rotors at Full Speed
p.886

Engineering Analysis of Structural Variants of Corrugated Aperture in the Environment MSC.Patran/MSC.Marc
p.892

Numerical Modeling of Forming a Preform under High Temperature Creep
p.898

Stationary Rotation of the Partially Liquid-Filled Unbalanced Rotor under External Friction Force Action
p.903

HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 1040Boundary-Element Modeling of 3-D Poroelastic...

Boundary-Element Modeling of 3-D Poroelastic Half-Space Dynamics

Abstract:

A direct approach of the boundary element method for treating 3-D boundary-value problems of poroelastodynamics is considered. Biot’s material model with four unknown base functions is used. Computational results for the surface responses of displacements and pore pressures as functions of a force acting on a half-space weakened by a cavity are presented.

You might also be interested in these eBooks

High Technology: Research and Applications

View Preview

Info:

Periodical:

Advanced Materials Research (Volume 1040)

Pages:

881-885

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.1040.881

Citation:

Cite this paper

Online since:

September 2014

Authors:

Leonid A. Igumnov, Svetlana Litvinchuk, Andrey Petrov*, Alexander A. Belov

Keywords:

Boundary Element, Poroelastic Half-Space, Surface Waves

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

* - Corresponding Author

References

[1] Ya.I. Frenkel, On the theory of seismic and seismic-electric effects in a wet soil, Proc. AS USSR, Ser. Geograpf. and Geoph., 8(4) (1944) 65-78.

Google Scholar

[2] M. Biot, Theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low-frequency range, J. Acoust. Soc. Am., 28(2) (1956) 168-178.

DOI: 10.1121/1.1908239

Google Scholar

[3] M. Biot, Theory of propagation of elastic waves in a fluid-saturated porous solid. II. Higher-frequency range, J. Acoust. Soc. Am., 28(2) (1956) 179-191.

DOI: 10.1121/1.1908241

Google Scholar

[4] V.N. Nikolayevsky, [Geomechanics and fluid dynamics with application to problems of gas-and oil-carrying strata], Nedra, Moscow, 1996 (in Russian).

Google Scholar

[5] S.Z. Dunin, D.N. Mikhailov, V.N. Nikolayevsky, Longitudinal waves in partially saturated porous media: the effect of gas bubbles, Appl. Мath. and Мech., 70(2) (2006) 282-294.

DOI: 10.1016/j.jappmathmech.2006.06.008

Google Scholar

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

Google Scholar

[7] A.V. Amenitsky, A.A. Belov, L.A. Igumnov, I.S. Karelin, Boundary integral equations for analyzing dynamic problems of 3-D poroelasticity, Problems of strength and plasticity, 71 (2009) 164-171 (in Russian).

DOI: 10.32326/1814-9146-2009-71-1-164-171

Google Scholar

[8] V.G. Bazhenov, L.A. Igumnov, [Boundary Integral Equations & Boundary Element Methods in treating the problems of 3D elastodynamics with conjugate fields], PhysMathLit, Moscow, 2008 (in Russian).

Google Scholar

[9] A.A. Belov, L.A. Igumnov, I.S. Karelin, S. Yu. Litvinchuk, Using the BIE method for analyzing boundary problems of 3-D dynamic visco- and poro-elasticity, electronic journal Trudy MAI, 40 (2010) 1-20 (in Russian).

Google Scholar

[10] A.V. Amenitsky, L.A. Igumnov, I.S. Karelin, Extending the boundary element method on analyzing the problem of waves propagating in porous media, Problems of strength and plasticity, 70 (2008) 71-78 (in Russian).

DOI: 10.32326/1814-9146-2008-70-1-71-78

Google Scholar

[11] L.A. Igumnov, I.S. Karelin, Modeling surface waves on the boundary of a porous-elastic half-space, Sovremenniye problemy mehaniki sploshnoy sredy: proceedings of XIV international conf., Rostov-on-Don, 19-24 June 2010, vol. 2, pp.129-133.

Google Scholar

[12] X. Zhao, An efficient approach for the numerical inversion of Laplace transform and its application in dynamic fracture analysis of a piezoelectric laminate, Int. J. of Solids and Structures, 41 (2004) 3653-3674.

DOI: 10.1016/j.ijsolstr.2004.01.006

Google Scholar