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Mathematical theory of plasticity

Course Type: 
PhD Course
Academic Year: 
2014-2015
Period: 
March-May
Duration: 
20 h
Description: 
  • Functions with bounded deformation
  • theory of convex functions of measures
  • Hencky plasticity model
  • stress-strain duality
  • Prandtl-Reuss plasticity model: existence and properties of solutions to the quasistatic evolution problem, via the variational formulation à la Mielke.

References:

  • A. Mielke: Evolution of rate-independent systems. In: Evolutionary equations. Vol. II. Edited by C. M. Dafermos and E. Feireisl, 461-559, Handbook of Differential Equations. Elsevier/North-Holland, Amsterdam, 2005.
  • G. Dal Maso, A. DeSimone, M.G. Mora: Quasistatic evolution problems for linearly elastic-perfectly plastic materials. Arch. Ration. Mech. Anal. 180 (2006), 237-291.
  • R. Temam: Mathematical problems in plasticity. Gauthier-Villars, Paris, 1985.
Location: 
A-133
Next Lectures: 

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