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SUMMARY:Marco Morandotti (Politecnico di Torino)
DTSTART:20230403T134000Z
DTEND:20230403T151000Z
DTSTAMP:20260405T175109Z
UID:NSCM/104
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NSCM/104/">S
 emi-discrete modeling of systems of disclinations and dislocations</a>\nby
  Marco Morandotti (Politecnico di Torino) as part of Nečas Seminar on Con
 tinuum Mechanics\n\nLecture held in Room K3\,  Faculty of Mathematics and 
 Physics\, Charles University\, Sokolovská 83  Prague 8..\n\nAbstract\nDis
 clinations in crystalline materials are point defects that are responsible
  for rotational kinematic incompatibility. They are characterised by the s
 o-called Frank angle\, measuring the severity of the lattice mismatch. In 
 a two-dimensional medium under the assumption of plain strain\, the Airy s
 tress function can be used to translate the measure of incompatibility int
 o a fourth-order PDE with measure data. \n\nWe propose a variational model
  for disclinations in two-dimensional materials by means of the core-radiu
 s approach. Moreover\, we identify a good scaling regime in which we study
  the effective behaviour of dipoles of disclinations (of opposite signs)\,
  thus validating analytically the results obtained in [Eshelby\, 1966]: a 
 dipole of plane disclinations generates an edge dislocation with Burgers v
 ector perpendicular to the dipole axis. Finally\, we study the energy of a
  system of a finite number of dipoles of disclinations and recover the res
 ults of [Cermelli-Leoni\, 2005] for edge dislocations.\n\n \n\nThis is wor
 k in collaboration with Pierluigi Cesana (Kyushu University) and Lucia De 
 Luca (CNR Rome).\n
LOCATION:https://researchseminars.org/talk/NSCM/104/
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