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SUMMARY:Elvira Zappale (University of Rome - I\, Sapienza)
DTSTART:20221121T144000Z
DTEND:20221121T161000Z
DTSTAMP:20260405T174626Z
UID:NSCM/75
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NSCM/75/">Va
 riational formulation for hierarchies of structured deformations</a>\nby E
 lvira Zappale (University of Rome - I\, Sapienza) as part of Nečas Semina
 r on Continuum Mechanics\n\n\nAbstract\nThe mechanical theory of first ord
 er structured deformations formulated in [2] enriches the purely macroscop
 ic field theory of non-linear elasticity by taking into account the effect
 s of disarrangements that occur at a single submacroscopic level. In [1] a
  variational formulation for this theory has been successfully provided in
  the context of special fields of bounded variation.\nTaking into account 
 that many natural and man-made physical systems have a rich enough geometr
 ical structure to permit the identification of hierarchies consisting of m
 ore than one physically meaningful submacroscopic level\, the mechanical t
 heory of structured deformations has been enriched in [3].  This talk aims
  at presenting a variational framework of these latter theoretical setting
 s.\n\n\nReferences:\n\n[1] R. Choksi and I. Fonseca: Bulk and interfacial 
 energy densities for structured deformations of continua. Arch. Rational M
 ech. Anal. 138 (1997)\, 37-103.\n\n\n[2] G. Del Piero and D. -R. Owen: Str
 uctured deformations of continua: Arch. Ration. Mech. Anal. 124 (1993)\, 9
 9-155.\n\n[3] L. Deseri and D. R. Owen: Elasticity with Hierarchical Disar
 rangements: A Field Theory That Admits Slips and Separations at Multiple S
 ubmacroscopic Levels: J.of Elasticity Vol- 135 (2019) Issue 1-2\, 149-180.
 \n\nJoint project with Ana Cristina Barroso\, José Matias\, Marco Morando
 tti & David Owen\n
LOCATION:https://researchseminars.org/talk/NSCM/75/
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