By George Z. Voyiadjis Dr., Chung R. Song Dr. (auth.)
This ebook includes fresh advances on concept of combinations in geo-mechanics. It provides all of the helpful fabric that's released and scattered in numerous journals. The publication offers either easy ideas and complex issues. It encompasses a bankruptcy on comparability of theoretical and experimental effects. the 1st a part of the ebook bargains with the ancient reports, hydro-mechanics of geo-materials, and the elemental idea of combos. the second one a part of the booklet bargains with the Coupling conception, Numerical Simulations, and functions in genuine constructions. The 3rd a part of the booklet offers with complicated themes reminiscent of unsaturated soils and conception of combos for non geo-materials. The ebook can be utilized as a textbook for a sophisticated path on geo-mechanics and geotechnical engineering.
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Extra resources for The Coupled Theory of Mixtures in Geomechanics with Applications
The shape of the modiﬁed Cam Clay model in π-plane is a circle with center at the origin. The overall shape in principal stress space is an egg-shaped ellipse, as shown in Fig. 8. With hardening, the size of the circle increases in π-plane, or the size of the egg-shape ellipse increases in the principal stress space. In order to incorporate the anisotropic characteristics of soils, the soil models need to have some additional features to the traditional modiﬁed Cam Clay model (that is, if one intends to use the modiﬁed Cam Clay model).
An extensive review of the recent developments in gradient theories can be found in Voyiadjis et al. (2003). The full utilization of the gradient-type theories hinges on the ability to determine the intrinsic material length that scales with strain gradients. 40) where d is the diameter of the grain size. It is taken as the mean diameter (D50 ) of the grains. 0 µm (for metals), p is the eﬀective plastic strain, and m is a material constant. In this work it is assumed that the dislocation spacing is directly related to the intrinsic material length-scale.
19. 73) α = α1 + α2 The quantiﬁcation of back stress should be incorporated with the fabric, inter-particle charges, and so forth. However, those relations are not available presently, and the authors applied the phenomenological approach using the existing evolution equations of back stresses. When one uses Prager’s linear evolution equation (See Chaboche (1991) and Zbib and Aifantis (1988)) for α1 , and Dafalias’ non-linear evolution equation for α2 (Dafalias, 1987), one obtains the following evolution equations for the back stresses, 54 4 Coupling Yield Criteria and Micro-mechanics Back Stress (overall) 2 (long range) 1 (short range) Strain Range Fig.
The Coupled Theory of Mixtures in Geomechanics with Applications by George Z. Voyiadjis Dr., Chung R. Song Dr. (auth.)