prof. Tomassetti's seminar at SISSA

[Emanuele Tuillier Illingworth]

SISSA MATHLAB SEMINAR ANNOUNCEMENT
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Speaker: Giuseppe Tomassetti (University of Roma Tor Vergata)

Title: Growth on an elastic body on a rigid support: the treadmilling regime

Venue: Monday 27 April at 4 pm in SISSA lecture room 133

Abstract:

Motivated by experiments on acting growth on spherical beads, we 
consider a problem involving surface accretion of an elastic body on the 
surface of a rigid sphere, with particle supply being provided by the 
flux of a diffusing species taking place in the entire space. The 
peculiarity of the growth process we consider is that material particles 
are added at the interface between the body and the rigid support, and 
removed at the outer surface. In particular, we investigate the 
so-called "treadmilling regime", when the addition of material at the 
inner surface is balanced by its removal at outer surface. It turns out 
that the delicate interplay between stress, diffusion, and accretion can 
be described in terms of a configurational stress that combines chemical 
potential with an Eshelby-type contribution. This work is in 
collaboration with R. Abeyaratne and T. Cohen (MIT).
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