By F. Nicot, L. Sibille, F. Darve (auth.), Richard Wan, Mustafa Alsaleh, Joe Labuz (eds.)
Geomaterials convey advanced yet wealthy mechanical behaviour with numerous failure modes starting from diffuse to localized deformation reckoning on pressure, density, microstructure, and loading stipulations. those failure modes are due to the an instability of fabric and/or geometric nature that may be studied in the framework of bifurcation idea. Degradation is one other comparable phenomenon bobbing up from cyclic loading, getting old, weathering, chemical assault, and capillary results, between others. The technique of studying many of the sorts of instabilities is essential within the sufficient modelling and secure layout of various difficulties in geomechanics.
The current quantity features a sampling of enlarged models of papers provided on the International Workshop on Bifurcation and Degradations in Geomaterials (IWBDG 2008) held in Lake Louise, Alberta, Canada, may perhaps 28-31, 2008. those papers seize the cutting-edge within the really good box of geomechanics and modern ways to fixing the critical factor of failure. a few engineering purposes are offered within the components of strength source extraction and soil-machine interaction.
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Additional resources for Bifurcations, Instabilities and Degradations in Geomaterials
There is then a transition from static to dynamic regime. We also show that for the second-order work to vanish, one of the pre-requisites is to have a non-symmetric tangent constitutive tensor for describing the behaviour of the geomaterial. As such, we introduce a multi-surface elastoplastic model with a nonassociated plastic flow rule as well as stress, void ratio and fabric dependencies that all provide mathematical sources of material instability. This model successfully captures diffuse instabilities and subtleties in the effect of loading programs on the loss of controllability of a test.
Mech. Phys. : PFC 3D - User manual. : Initiation of soil liquefaction under static loading conditions. Geotech. Eng. : On the incremental non-linearity observed in a numerical model for granular media. Italian Geotechnical J. : Static instability and liquefaction of loose fine sandy slopes. J. Geotech. : Elastoplastic stress-strain theory for cohesionless soil. J. Geotechnical Eng. : Stress deformation and strength characteristics of soil under three different principal stresses. In: Proc. Jap.
Also notice that the determinant of the symmetric part of D, det Dsym, and the second-order work, W2, become non-positive at the same point in time. At that moment, the constitutive matrix has lost positive-definiteness but that does not suffice to lead to a non-unique material response. As pointed in Wan et al. (2009) and Nicot and Darve (2009), the directional character of the loading program needs to be taken into account. Curiously, in Fig. 4b we show that the second-order work never becomes zero even when controllability is lost as effective stresses reach the bifurcation line.