Computational Micro-Macro Analysis of Impact on Strain-Hardening Cementitious Composites (SHCC) Including Microscopic Inertia

This paper presents a numerical two-scale framework for the simulation of fiber reinforced concrete under impact loading. The numerical homogenization framework considers the full balance of linear momentum at the microscale. This allows for the study of microscopic inertia effects affecting the mac...

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Main Authors: Erik Tamsen, Iurie Curosu, Viktor Mechtcherine, Daniel Balzani
Format: Article
Language:English
Published: MDPI AG 2020-11-01
Series:Materials
Subjects:
Online Access:https://www.mdpi.com/1996-1944/13/21/4934
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author Erik Tamsen
Iurie Curosu
Viktor Mechtcherine
Daniel Balzani
author_facet Erik Tamsen
Iurie Curosu
Viktor Mechtcherine
Daniel Balzani
author_sort Erik Tamsen
collection DOAJ
description This paper presents a numerical two-scale framework for the simulation of fiber reinforced concrete under impact loading. The numerical homogenization framework considers the full balance of linear momentum at the microscale. This allows for the study of microscopic inertia effects affecting the macroscale. After describing the ideas of the dynamic framework and the material models applied at the microscale, the experimental behavior of the fiber and the fiber–matrix bond under varying loading rates are discussed. To capture the most important features, a simplified matrix cracking and a strain rate sensitive fiber pullout model are utilized at the microscale. A split Hopkinson tension bar test is used as an example to present the capabilities of the framework to analyze different sources of dynamic behavior measured at the macroscale. The induced loading wave is studied and the influence of structural inertia on the measured signals within the simulation are verified. Further parameter studies allow the analysis of the macroscopic response resulting from the rate dependent fiber pullout as well as the direct study of the microscale inertia. Even though the material models and the microscale discretization used within this study are simplified, the value of the numerical two-scale framework to study material behavior under impact loading is demonstrated.
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spelling doaj.art-59d01c619ca24e1e9d752749ed8613c62023-11-20T19:36:05ZengMDPI AGMaterials1996-19442020-11-011321493410.3390/ma13214934Computational Micro-Macro Analysis of Impact on Strain-Hardening Cementitious Composites (SHCC) Including Microscopic InertiaErik Tamsen0Iurie Curosu1Viktor Mechtcherine2Daniel Balzani3Institute of Mechanics and Shell Structures, TU Dresden, 01062 Dresden, GermanyInstitute of Construction Materials, TU Dresden, 01062 Dresden, GermanyInstitute of Construction Materials, TU Dresden, 01062 Dresden, GermanyChair of Continuum Mechanics, Ruhr University Bochum, 44801 Bochum, GermanyThis paper presents a numerical two-scale framework for the simulation of fiber reinforced concrete under impact loading. The numerical homogenization framework considers the full balance of linear momentum at the microscale. This allows for the study of microscopic inertia effects affecting the macroscale. After describing the ideas of the dynamic framework and the material models applied at the microscale, the experimental behavior of the fiber and the fiber–matrix bond under varying loading rates are discussed. To capture the most important features, a simplified matrix cracking and a strain rate sensitive fiber pullout model are utilized at the microscale. A split Hopkinson tension bar test is used as an example to present the capabilities of the framework to analyze different sources of dynamic behavior measured at the macroscale. The induced loading wave is studied and the influence of structural inertia on the measured signals within the simulation are verified. Further parameter studies allow the analysis of the macroscopic response resulting from the rate dependent fiber pullout as well as the direct study of the microscale inertia. Even though the material models and the microscale discretization used within this study are simplified, the value of the numerical two-scale framework to study material behavior under impact loading is demonstrated.https://www.mdpi.com/1996-1944/13/21/4934computational homogenizationmicroscopic inertiaSHCCECCHPFRCCfiber pullout
spellingShingle Erik Tamsen
Iurie Curosu
Viktor Mechtcherine
Daniel Balzani
Computational Micro-Macro Analysis of Impact on Strain-Hardening Cementitious Composites (SHCC) Including Microscopic Inertia
Materials
computational homogenization
microscopic inertia
SHCC
ECC
HPFRCC
fiber pullout
title Computational Micro-Macro Analysis of Impact on Strain-Hardening Cementitious Composites (SHCC) Including Microscopic Inertia
title_full Computational Micro-Macro Analysis of Impact on Strain-Hardening Cementitious Composites (SHCC) Including Microscopic Inertia
title_fullStr Computational Micro-Macro Analysis of Impact on Strain-Hardening Cementitious Composites (SHCC) Including Microscopic Inertia
title_full_unstemmed Computational Micro-Macro Analysis of Impact on Strain-Hardening Cementitious Composites (SHCC) Including Microscopic Inertia
title_short Computational Micro-Macro Analysis of Impact on Strain-Hardening Cementitious Composites (SHCC) Including Microscopic Inertia
title_sort computational micro macro analysis of impact on strain hardening cementitious composites shcc including microscopic inertia
topic computational homogenization
microscopic inertia
SHCC
ECC
HPFRCC
fiber pullout
url https://www.mdpi.com/1996-1944/13/21/4934
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AT iuriecurosu computationalmicromacroanalysisofimpactonstrainhardeningcementitiouscompositesshccincludingmicroscopicinertia
AT viktormechtcherine computationalmicromacroanalysisofimpactonstrainhardeningcementitiouscompositesshccincludingmicroscopicinertia
AT danielbalzani computationalmicromacroanalysisofimpactonstrainhardeningcementitiouscompositesshccincludingmicroscopicinertia