A note on limit analysis

Reuven Segev; Lior Falach

doi:10.1177/1081286509344265

A note on limit analysis

Reuven Segev, Lior Falach

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	854-869
Number of pages	16
Journal	Mathematics and Mechanics of Solids
Volume	15
Issue number	8
DOIs	https://doi.org/10.1177/1081286509344265
State	Published - 1 Nov 2010

Keywords

Banach's closed range theorem.
limit analysis
plasticity
reduced kinematic multiplier
static multiplier

ASJC Scopus subject areas

General Mathematics
General Materials Science
Mechanics of Materials

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10.1177/1081286509344265

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A note on limit analysis

Abstract

Keywords

ASJC Scopus subject areas

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