NEČAS SEMINAR ON CONTINUUM MECHANICS
organized by the Mathematical Institute of the Charles University
each Monday at 15:40
in the MFF UK building,
Sokolovská 83, lecture room K1, 2nd
proceeds with the following presentations:
(Geological Survey of Israel, Jerusalem):
|Continuum Damage Mechanics for Brittle Rocks and Geophysical Applications|
|Abstract: We present a basic concept of the continuum damage rheology model based on thermodynamic principles and fundamental observations of rock deformation. Fundamental nonlinear aspects of rock deformation, such as microcrack and flaw nucleation, development of process zones at rupture tips, and branching from the main rupture plane are of crucial importance for evolutionary self-organization of faults at various spatio-temporal domains. 3-D numerical simulations reproduce the main features of a quasi-static fault evolution at various scales from laboratory sample testing to processes associated with hydraulic borehole stimulation and regional lithospheric models. A recently developed theoretical model for continuum damage-breakage mechanics allows detailed description of the dynamic rupture process. This new approach combines and extends previous results of a continuum damage model that accounts for distributed cracks using a scalar damage parameter, and a continuum breakage model that measures the relative distance of a given grain size distribution of a granular phase to the ultimate distribution with a breakage parameter. Several features of the model including development of wide damage zones and its localization into a narrow slip zone with transition from slow to rapid dynamic slip are illustrated using numerical simulations.|
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