A Note on Limit Analysis

Reuven Segev (1) , Lior Falach (1)

1 Department of Mechanical Engineering [Beer-Sheva]

We present a mathematical framework for the theory of limit analysis of rigid, perfectly plastic bodies where the equality of the static multiplier and kinematic multiplier for incompressible fields is formulated and proved in a compact form. Assuming that the failure criterion is a norm on the space of deviatoric stress fields, we use standard properties of linear operators on Banach spaces.

Domaines: Mécanique [physics.med-ph]

Reuven Segev, Lior Falach. A Note on Limit Analysis. Mathematics and Mechanics of Solids, 2010, 15 (8), pp.854-869. ⟨hal-01068088⟩