Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/stationary-discontinuity-and-flutter-instability-of-wave-propagation-diAiPWDn0L
References (22)
-
J. Achenbach (1962)
Wave propagation in elastic solids -
J. Rice (1975)
On the Stability of Dilatant Hardening for Saturated Rock MassesJournal of Geophysical Research, 80
-
Taylor R. The Finite Element Method. Vol. Zienkiewicz OC (2000)
Zienkiewicz OC, Taylor R. The Finite Element Method. Vol. 2. Butterworth-Heinemann, 2000 -
J. Rudnicki, J. Rice (1975)
CONDITIONS FOR THE LOCALIZATION OF DEFORMATION IN PRESSURE-SENSITIVE DILATANT MATERIALSJournal of The Mechanics and Physics of Solids, 23
-
B. Loret, O. Harireche (1991)
Acceleration waves, flutter instabilities and stationary discontinuities in inelastic porous mediaJournal of The Mechanics and Physics of Solids, 39
-
O. Zienkiewicz, R. Taylor, J. Zhu, Elsevier Bl, Ttfrworth Hhintalann (1977)
The finite element method -
Y Thomas (1961)
Plastic Flow and Fracture of Solids -
P. Duxbury, Xikui Li (1996)
Development of elasto-plastic material models in a natural coordinate systemComputer Methods in Applied Mechanics and Engineering, 135
-
D. Drucker, W. Prager (1952)
Soil mechanics and plastic analysis or limit designQuarterly of Applied Mathematics, 10
-
R. Hill (1958)
A general theory of uniqueness and stability in elastic-plastic solidsJournal of The Mechanics and Physics of Solids, 6
-
B. Loret, F. Simões, J. Martins (1997)
Growth and decay of acceleration waves in non-associative elastic-plastic fluid-saturated porous mediaInternational Journal of Solids and Structures, 34
-
K. Runesson, Dunja Perić, S. Sture (1996)
Effect of pore fluid compressibility on localization in elastic-plastic porous solids under undrained conditionsInternational Journal of Solids and Structures, 33
-
M. Biot (1941)
General Theory of Three‐Dimensional ConsolidationJournal of Applied Physics, 12
-
R. Hill (1962)
Acceleration waves in solidsJournal of The Mechanics and Physics of Solids, 10
-
S. Pietruszczak (1995)
Undrained Response of Granular Soil Involving Localized DeformationJournal of Engineering Mechanics-asce, 121
-
Xikui Li, H. Thomas, Yiqun Fan (1999)
Finite element method and constitutive modelling and computation for unsaturated soilsComputer Methods in Applied Mechanics and Engineering, 169
-
O. Zienkiewicz, T. Shiomi (1984)
Dynamic behaviour of saturated porous media; The generalized Biot formulation and its numerical solutionInternational Journal for Numerical and Analytical Methods in Geomechanics, 8
-
B. Loret, J. Prévost (1991)
Dynamic Strain Localization in Fluid‐Saturated Porous MediaJournal of Engineering Mechanics-asce, 117
-
F. Simões, J. Martins, B. Loret (1999)
Instabilities in elastic–plastic fluid-saturated porous media: harmonic wave versus acceleration wave analysesInternational Journal of Solids and Structures, 36
-
M. Biot (1956)
Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid. II. Higher Frequency RangeJournal of the Acoustical Society of America, 28
-
M. Biot (1956)
Theory of Propagation of Elastic Waves in a Fluid‐Saturated Porous Solid. I. Low‐Frequency RangeJournal of the Acoustical Society of America, 28
-
J. Rice (1976)
Localization of plastic deformation
- Publisher
- Springer Journals
- Copyright
- 2001 Chinese Society of Theoretical and Applied Mechanics
- ISSN
- 0567-7718
- eISSN
- 1614-3116
- DOI
- 10.1007/BF02487464
- Publisher site
- See Article on Publisher Site
Abstract
Abstract In the present work a model based on the Biot theory for simulating coupled hydrodynamic behavior in saturated porous media is utilized with integration of the inertial coupling effect between the solid-fluid phases of the media into the model. The non-associated Drucker-Prager criterion to describe nonlinear constitutive behavior of pressure dependent elasto-plasticity for the media is particularly considered. With no consideration of compressibility of solid grains and the pore fluid, the discontinuity and instability of the wave propagation in saturated porous media are analyzed for the plane strain problems in detail. The critical conditions of stationary discontinuity and flutter instability in the wave propagation are given. The results and conclusions obtained by the present work will provide some bases or clues for overcoming the difficulties in numerical modeling of wave propagation in the media subjected to dynamic loading.
Journal
"Acta Mechanica Sinica" – Springer Journals
Published: Nov 1, 2001