By Fusao Oka
"Preface over the past 3 many years, experiences on constitutive types and numerical research tools were good constructed. these days, numerical tools play a crucial position in geotechnical engineering and in a comparable task referred to as computational geotechnics. This publication offers with the constitutive modeling of multiphase geomaterials and numerical equipment for predicting the habit of geomaterials such as soil and rock. The e-book presents primary wisdom of continuum mechanics, constitutive modeling, numerical equipment for multiphase geomaterials, and their functions. furthermore, the monograph contains fresh advances during this zone, specifically, the constitutive modeling of soils for rate-dependent habit, pressure localization, the multiphase thought, and their functions within the context of huge deformations. The presentation is self-contained. a lot awareness has been paid to viscoplasticity, water-soil coupling, and pressure localization. bankruptcy 1 offers the basic thought and leads to continuum mechanics, corresponding to movement deformation and rigidity, that are beneficial for knowing the subsequent chapters. This bankruptcy is helping readers make a self-consistent examine of the contents of this ebook. bankruptcy 2 offers with the governing equations for multiphase geomaterials in keeping with the idea of porous media, akin to water-saturated and air- water-soil multiphase soils together with soil-water attribute curves. This bankruptcy is vital for the examine of computational geomechanics. bankruptcy three begins with the elastic constitutive version and stories the elemental constitutive versions together with plasticity and visoplasticity. For the plasticity idea, the soundness suggestion within the experience of Lyapunov is discussed"-- Read more...
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Extra info for Computational Modeling of Multiphase Geomaterials
E. 1969. Introduction to the Mechanics of a Continuous Media, New York: Prentice-Hall. A. 1992. The Thermomechanics of Plasticity and Fracture, Cambridge University Press. M. 1988. Continuum Mechanics, Longman Scientific and Technical, New York. , and Noll, W. 1965. The non-linear field theories of mechanics, In Encyclopedia of Physics, Vol. III, Part 3, ed. by S. Flügge, Berlin: Springer-Verlag. Ziegler, H. 1983. , Elsevier Science, North-Holland, Amsterdam. Chapter 2 Governing equations for multiphase geomaterials One of the important characteristics of geomaterials is that the material is composed of solid, liquid, and gas in general.
1988. Continuum Mechanics, Longman Scientific and Technical, New York. , and Noll, W. 1965. The non-linear field theories of mechanics, In Encyclopedia of Physics, Vol. III, Part 3, ed. by S. Flügge, Berlin: Springer-Verlag. Ziegler, H. 1983. , Elsevier Science, North-Holland, Amsterdam. Chapter 2 Governing equations for multiphase geomaterials One of the important characteristics of geomaterials is that the material is composed of solid, liquid, and gas in general. In this chapter, governing equations for the analysis including balance laws and constitutive equations are presented based on the theory of porous media, that is, an immiscible mixture of solid and fluids.
1 Superposition of solid and fluid phases. , 1980, LIQCA Res. Development Group, 2005). This u-p formulation can be easily applied to the consolidation problems since the displacement of pore water is explicitly introduced. An infinitesimal strain is used. The relative acceleration of the fluid phase to that of the solid phase is much smaller than the acceleration of the solid phase. The grain particles in the soil are incompressible. The effect of the temperature is disregarded. 1. 2). 1) where superscript a indicates phase a and via is the velocity of the material in phase a, xia is the position of particle of a phase.
Computational Modeling of Multiphase Geomaterials by Fusao Oka