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Mathematics and Mechanics of Solids
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Article

A Note on Limit Analysis

Reuven Segev* and Lior Falach

Department of Mechanical Engineering, Ben-Gurion University

* To whom correspondence should be addressed. E-mail: rsegev{at}bgu.ac.il.


   Abstract

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.

First published on September 11, 2009
Mathematics and Mechanics of Solids 2009, doi:10.1177/1081286509344265


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