Rate-Independence, Homogenization and Multiscaling

seminar: Emerging multiyield behavior of elastoplastic beams and plates

speaker: Pavel Krejci (Weierstrass Institute (WIAS) Berlin)

abstract: We show that the classical method of reducing a three dimensional problem in small strain modeling of oscillating thin solids to one dimensional beam or two dimensional plate equations, when applied to von Mises single yield plasticity, gives rise to a multiyield Prandtl-Ishlinskii hysteresis model. This can be explained by the fact that, as a consequence of the assumption on invariance of the midsurface, the eccentric layers look as if they had higher elasticity modulus and lower yield point that the central ones. Using the method of hysteresis operators, we prove the well-posedness of the resulting PDE systems. (Joint work with J. Sprekels).

timetable:
Thu 15 Nov, 17:50 - 18:35, Sala Conferenze Centro De Giorgi
documents:

krejci.pdf

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