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Summary: Dipartimento di Matematica - Politecnico di Torino January 1990
Reinforcement of Plates
in Hencky's Plasticity
E. Acerbi & D. Percivale
1. Introduction
Though the theory of elastic plates constitutes a good model to de-
scribe the deformations of thin two-dimensional bodies loaded perpendic-
ularly to their middle plane, the hypothesis of absolute elasticity is no
longer valid when, under more severe conditions of loading, the material
becomes plastic.
In this paper we investigate the behaviour of a clamped plastic plate
surrounded by a narrow annulus of a different, softer plastic material. In
particular, we are interested in the behaviour of the equilibrium solutions
to this problem when both the width of the annulus approaches zero and
the surrounding material becomes softer and softer.
Throughout the paper we deliberately keep to a particular case, leav-
ing the generalizations to the last section. The strain energy is of the
form
F(u) =
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