Load capacity of perfectly plastic bodies and structures

Reuven Segev, Lior Falach

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

For a statically indeterminate structure we examine the class of internal forces that are in equilibrium with a given external loading/. We define the optimal stress φ opt as the smallest possible magnitude of any equilibrating internal force distribution. The stress sensitivity k = max ff opt/||f||}, a purely geometric property of structure, is a measure of the sensitivity of the structure to variable external loading. Using the result for optimal stresses, an expression for the stress sensitivity factor is obtained in terms of the structure's kinematic interpolation mapping. For a given structure made of a perfectly plastic material with a yield stress σ y, we consider the load capacity ratio of the structure: the largest positive number C, depending only on the geometry of the structure, which satisfies the following property. For any loading distribution / on the structure whose maximum is /max, the structure will not undergo plastic collapse as long as f max ≤ σ yC, independently of the distribution of the load. The paper presents the mathematical aspects, related mechanical notions, algorithms and examples corresponding to load capacity ratios of structures. These notions, the corresponding theoretical results, and a simple implementation to finite element models are presented using linear and conic programming.

Original languageEnglish
Title of host publication50th Israel Annual Conference on Aerospace Sciences 2010
Pages970-982
Number of pages13
StatePublished - 1 Dec 2011
Event50th Israel Annual Conference on Aerospace Sciences 2010 - Tel-Aviv and Haifa, Israel
Duration: 17 Feb 201018 Feb 2010

Publication series

Name50th Israel Annual Conference on Aerospace Sciences 2010
Volume2

Conference

Conference50th Israel Annual Conference on Aerospace Sciences 2010
Country/TerritoryIsrael
CityTel-Aviv and Haifa
Period17/02/1018/02/10

ASJC Scopus subject areas

  • Computer Science (all)
  • Space and Planetary Science
  • Energy Engineering and Power Technology
  • Aerospace Engineering
  • Physics and Astronomy (all)

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