Bifurcations and Instabilities in Geomechanics: Proceedings by J.F. Labuz, A. Drescher

By J.F. Labuz, A. Drescher

This e-book encompasses a sampling of papers offered on the June 2-5, 2002 overseas Workshop on Bifurcations andamp; Instabilities in Geomechanics (IWBI 2002). The scope of the Workshop comprises analytical methods, numerical equipment, and experimental innovations.

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Additional resources for Bifurcations and Instabilities in Geomechanics: Proceedings of the International Workshop, IWBI 2002, Minneapolis, Minnesota, 2-5 June 2002

Example text

Rice 1968) while the maximum energy consumption . The result coincides with the condition (7) obtained on the ‘microscopic’ level. Note that the condition (8) may be written as KI≥ KIC. Similar relation, may exist between bifurcation studied on various levels. Consider for example a crack in 2D (Fig. 6a). Recall that crack propagation is an ultimate stage of localization, and let the material be such that the rupture mode under tensile stress is dominant in a small FPZ. This implies that at a point of bifurcation, the system of elements in the FPZ chooses a way corresponding to localization along some of the rays emerging from the tip (Fig.

Figure 8. Illustration of a yield surface formed by separate shear and cap portions. Four trajectories of axisymmetric compression tests with different constant lateral confining pressure (σc) are also shown. The additional flexibility of the direction of the inelastic strain increment vector at a yield surface corner is well known to enhance the possibility of localization (Rudnicki & Rice, 1975). Although it is unlikely that the stress path will intersect the corner on the initial yield surface, if the two surfaces evolve separately, increasing loads will cause the stress state to coincide with the corner (as illustrated by one trajectory in Fig.

Theoretical and Applied Mechanics, Proc. 14th IUTAM Congress: 207-220. Amsterdam: North Holland. Rice, J. R. & Rudnicki, J. W. 1980. A note on some features of the theory of localization of deformation. Int. J. Solids Struct. 16: 597-605. Rudnicki, J. W. 1977. The effect of stress-induced anisotropy on a model of brittle rock failure as localization of deformation. -D. Wang & G. B. ), Energy Resources and Excavation Technology, Proceedings of the 18th U. S. Symposium on Rock Mechanics: 3B4- - 3B4-8.

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