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SUMMARY:Jan Stebel (TU Liberec)
DTSTART:20210517T134000Z
DTEND:20210517T151000Z
DTSTAMP:20260405T174407Z
UID:NSCM/32
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NSCM/32/">Co
 ntinuum-fracture models of porous media processes: derivation and analysis
 </a>\nby Jan Stebel (TU Liberec) as part of Nečas Seminar on Continuum Me
 chanics\n\n\nAbstract\nMathematical modelling of heterogeneous materials s
 uch as granitic rocks requires special treatment of fractures. We present 
 the derivation of the so-called continuum-fracture model for two types of 
 problems: advection-diffusion process (e.g. transport of contaminants or h
 eat) and hydro-mechanical coupling based on Biot’s theory. For the hydro
 -mechanical problem we distinguish the linear case and the case of contact
  and shear-dilation conditions at fractures.  Existence of weak solutions 
 is established. The problem is discretized by the finite element method an
 d solved using the so-called fixed-stress iterative splitting whose conver
 gence is analyzed.\n
LOCATION:https://researchseminars.org/talk/NSCM/32/
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