One-dimensional transient wave propagation in fluid-saturated incompressible porous media

Reint de Boer1, Wolfgang Ehlers2, Zhangfang Liu3
1Institut für Mechanik Fachbereich Bauwesen, Universität Essen, Essen 1, Federal Republic of Germany
2Fachbereich Mechanik, Th Darmstadt, Darmstadt, Federal Republic of Germany
3Lab. of constitutive relations for engineering materials, Department of engineering mechanics, Chongqing University, Chonqing, P. R. China

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

Levy, T.: Propagation of waves in a fluid-saturated porous elastic solid. Int. J. Engng. Sci.17 (1979) 1005?1014

Auriault, J. L.: Dynamic behaviour of a porous medium saturated by a Newtonian fluid. Int. J. Engng. Sci.18 (1980) 775?785

Prevost, J. H.: Nonlinear transient phenomena in saturated porous media. Comp. Meth. Appl. Mech. Engrg. (1982) 3?18

Zienkiewicz, O. C.; Shiomi, T.: Dynamic behaviour of saturated porous media ? the generalized Biot formulation and its numerical solution. Int. J. Num. Ana. Meth. in Geomech.8 (1984) 71?96

Ghaboussi, J.; Dikman, S. U.: Liquefaction analysis of horizontally layered sands. ASCE: Geotech. Div.104 (1978) 341?356

Prevost, J. H.: Wave propagation in fluid-saturated porous media ? an efficient finite element procedure. Soil Dynamics and Earthquake Engng.4 (1985) 183?202

Garg, S. K.; Nafeh, A. H.; Good, A. J.: Compressional waves in fluid-saturated elastic porous media. J. Appl. Phys. 45 (1974) 1968?1974

Simon, B. R.; Zienkiewicz, O. C.; Paul, D. K.: An analytical solution for the transient response of saturated porous elastic solids. Int. J. Num. Ana. Meth. in Geomech.8 (1984) 381?398

Bowen, R. M.: Incompressible porous media models by use of the theory of mixtures. Int. J. Engng. Sci18 (1980) 1129?1148

de Boer, R.; Ehlers, W.: The development of the concept of effective stresses. Acta Mechanica83 (1990) 77?92

de Boer, R.; Ehlers, W.: Uplift, friction and capillarity ? three fundamental effects for liquid-saturated porous solids. Int. J. Solids Structures26 (1990) 43?57

Ehlers, W.: Por�se Medien ? ein kontinuumsmechanisches Modell auf der Basis der Mischungstheorie. Forschungsberichte aus dem Fachbereich Bauwesen der Universit�t Essen47, Essen 1989

Abramowitz, M.; Stegun, I. A.: Handbook of Mathematical Functions. National Bureau of Standards, Washington D.C. 1965