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SUMMARY:Passages from discrete to continuous systems allowing for fracture
 \,  external forces and heterogeneities - Anja Schlömerkemper (Julius-Max
 imilians-Universität Würzburg)
DTSTART:20190403T133000Z
DTEND:20190403T141000Z
UID:TALK122530@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span>Passages from discrete to continuous systems of particle
 s have been the <span>subject of research with various approaches for many
  years. Here we focus on one-dimensional particle systems with non-convex 
 interaction potentials\, which allow for the formation of cracks. We consi
 der variational models and their continuum limits by means of $\\Gamma$-co
 nvergence techniques.<br> <br> Firstly\, I will present the main ideas of 
 a recent work with M.~Carioni and J.~Fischer which allows for external for
 ces that may depend on the material points or on the deformed configuratio
 n\, i.e.~on Lagrangian or Eulerian coordinates\, and thus may be related t
 o dead as well as live loads. Secondly\, I will show homogenization result
 s for composite materials that are modelled by either periodically or stoc
 hastically distributed non-convex interaction potentials. This is joint wo
 rk with&nbsp\;<br> L.~Lauerbach\, S.~Neukamm and M.~Sch&auml\;ffner.</span
 ></span>  <br><br><br><br><br>
LOCATION:Seminar Room 2\, Newton Institute
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