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Constitutive equations for concrete materials subjected to high rate of loading
Linköping University, Department of Mechanical Engineering, Solid Mechanics. Linköping University, The Institute of Technology.
2002 (English)Licentiate thesis, comprehensive summary (Other academic)
Abstract [en]

Continuum mechanics is used to model the mechanical behaviour of concrete structures subjected to high rates of loading in defence applications. Large deformation theory is used and an isotropic elastic-plastic constitutive equation with isotropic hardening, damage and strain rate dependent loading surface. The hydrostatic pressure is governed by an equation of state. Numerical analysis is performed using the finite element method and the central difference method for the time integration.

Projectile penetration is studied and it is concluded that it is not suitable to use material description of the motion of both the target and the projectile together with an erosion criterion. Instead, the material description should be used only for the projectile and the spatial description for the target. In this way the need for an erosion criterion is eliminated. Also, in the constitutive model used it is necessary to introduce a scaling of the softening phase in relation to the finite element size, in order to avoid strain localization.

Drop weight testing of reinforced concrete beams are analysed, where a regularisation is introduced that renders mesh objectivity regarding fracture energy release. The resulting model can accurately reproduce results from material testing but the regularisation is not sufficient to avoid strain localization when applied to an impact loaded structure. It is finally proposed that a non-local measure of deformation could be a solution to attain convergence.

The third study presents the behaviour of a concrete constitutive model in a splitting test and a simplified non-local theory applied in a tensile test. The splitting test model exhibits mesh dependency due to a singularity. In the tensile test the non-local theory is shown to give a convergent solution. The report https://www.diva-portal.org/liu/webform/form.jsp#paper0is concluded with a discussion on how to better model concrete materials.

Place, publisher, year, edition, pages
Institutionen för systemteknik , 2002. , 30 p.
Series
Linköping Studies in Science and Technology. Thesis, ISSN 0280-7971 ; 936
Keyword [en]
Continuum mechanics, Numerical analysis, Drop weight testing
National Category
Other Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:liu:diva-5721Local ID: LIU-TEK-LIC-2002:09ISBN: 91-7373-301-6 (print)OAI: oai:DiVA.org:liu-5721DiVA: diva2:21479
Presentation
(English)
Supervisors
Available from: 2004-10-27 Created: 2004-10-27 Last updated: 2010-04-06
List of papers
1. Numerical simulations of penetration and perforation of high performance concrete with 75mm steel project
Open this publication in new window or tab >>Numerical simulations of penetration and perforation of high performance concrete with 75mm steel project
2000 (English)In: Defence Research Establishment (FOA), ISSN 1104-9154, Vol. FOA-R--00-01634-311--SEArticle in journal (Refereed) Published
National Category
Engineering and Technology
Identifiers
urn:nbn:se:liu:diva-13787 (URN)
Available from: 2004-10-27 Created: 2004-10-27
2. Numerical simulations of the response of reinforced concrete beams subjected to heavy drop tests
Open this publication in new window or tab >>Numerical simulations of the response of reinforced concrete beams subjected to heavy drop tests
2001 (English)In: Impact Engineering and Application: Proceedings of the 4th International Symposium on Impact Engineering (ISIE/4), Kumamoto, Japan, 2001, 613-618 p.Conference paper, Published paper (Other academic)
National Category
Engineering and Technology
Identifiers
urn:nbn:se:liu:diva-13788 (URN)
Available from: 2004-10-27 Created: 2004-10-27
3. Finite element analysis of the splitting test
Open this publication in new window or tab >>Finite element analysis of the splitting test
2002 (English)Report (Other academic)
Publisher
24 p.
Series
Technical report, Swedish Defence Research Agency (FOI), ISSN 1650-1942 ; 0262
Keyword
concrete materials, singularity, non-local theory
National Category
Engineering and Technology
Identifiers
urn:nbn:se:liu:diva-13789 (URN)
Available from: 2004-10-27 Created: 2004-10-27

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CiteExportLink to record
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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
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  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
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Output format
  • html
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  • asciidoc
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