Determination of Mechanical and Fracture Properties of Silicon Single Crystal from Indentation Experiments and Finite Element Modelling

It is well-known that cracks are observed around the impression during indentation of brittle materials. The cracks inception depends on load conditions, material and indenter geometry. The paper aims to use experimental micro-indentation data, FE simulations with cohesive zone modelling, and an opt...

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Autores principales: Petr Skalka, Michal Kotoul
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Lenguaje:EN
Publicado: MDPI AG 2021
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spelling oai:doaj.org-article:2386ccce74cf4110a269b759253a860f2021-11-25T18:14:14ZDetermination of Mechanical and Fracture Properties of Silicon Single Crystal from Indentation Experiments and Finite Element Modelling10.3390/ma142268641996-1944https://doaj.org/article/2386ccce74cf4110a269b759253a860f2021-11-01T00:00:00Zhttps://www.mdpi.com/1996-1944/14/22/6864https://doaj.org/toc/1996-1944It is well-known that cracks are observed around the impression during indentation of brittle materials. The cracks inception depends on load conditions, material and indenter geometry. The paper aims to use experimental micro-indentation data, FE simulations with cohesive zone modelling, and an optimisation procedure to determine the cohesive energy density of silicon single crystals. While previous studies available in the literature, which use cohesive zone finite element techniques for simulation of indentation cracks in brittle solids, tried to improve methods for the evaluation of material toughness from the indentation load, crack size, hardness, elastic constants, and indenter geometry, this study focuses on the evaluation of the cohesive energy density 2<i>Γ</i> from which the material toughness can be easily determined using the well-known Griffith-Irwin formula. There is no need to control the premise of the linear fracture mechanics that the cohesive zone is much shorter than the crack length. Hence, the developed approach is suitable also for short cracks for which the linear fracture mechanics premise is violated.Petr SkalkaMichal KotoulMDPI AGarticlemicro-indentationmechanical and fracture properties identificationfinite element analysisoptimisation analysisTechnologyTElectrical engineering. Electronics. Nuclear engineeringTK1-9971Engineering (General). Civil engineering (General)TA1-2040MicroscopyQH201-278.5Descriptive and experimental mechanicsQC120-168.85ENMaterials, Vol 14, Iss 6864, p 6864 (2021)
institution DOAJ
collection DOAJ
language EN
topic micro-indentation
mechanical and fracture properties identification
finite element analysis
optimisation analysis
Technology
T
Electrical engineering. Electronics. Nuclear engineering
TK1-9971
Engineering (General). Civil engineering (General)
TA1-2040
Microscopy
QH201-278.5
Descriptive and experimental mechanics
QC120-168.85
spellingShingle micro-indentation
mechanical and fracture properties identification
finite element analysis
optimisation analysis
Technology
T
Electrical engineering. Electronics. Nuclear engineering
TK1-9971
Engineering (General). Civil engineering (General)
TA1-2040
Microscopy
QH201-278.5
Descriptive and experimental mechanics
QC120-168.85
Petr Skalka
Michal Kotoul
Determination of Mechanical and Fracture Properties of Silicon Single Crystal from Indentation Experiments and Finite Element Modelling
description It is well-known that cracks are observed around the impression during indentation of brittle materials. The cracks inception depends on load conditions, material and indenter geometry. The paper aims to use experimental micro-indentation data, FE simulations with cohesive zone modelling, and an optimisation procedure to determine the cohesive energy density of silicon single crystals. While previous studies available in the literature, which use cohesive zone finite element techniques for simulation of indentation cracks in brittle solids, tried to improve methods for the evaluation of material toughness from the indentation load, crack size, hardness, elastic constants, and indenter geometry, this study focuses on the evaluation of the cohesive energy density 2<i>Γ</i> from which the material toughness can be easily determined using the well-known Griffith-Irwin formula. There is no need to control the premise of the linear fracture mechanics that the cohesive zone is much shorter than the crack length. Hence, the developed approach is suitable also for short cracks for which the linear fracture mechanics premise is violated.
format article
author Petr Skalka
Michal Kotoul
author_facet Petr Skalka
Michal Kotoul
author_sort Petr Skalka
title Determination of Mechanical and Fracture Properties of Silicon Single Crystal from Indentation Experiments and Finite Element Modelling
title_short Determination of Mechanical and Fracture Properties of Silicon Single Crystal from Indentation Experiments and Finite Element Modelling
title_full Determination of Mechanical and Fracture Properties of Silicon Single Crystal from Indentation Experiments and Finite Element Modelling
title_fullStr Determination of Mechanical and Fracture Properties of Silicon Single Crystal from Indentation Experiments and Finite Element Modelling
title_full_unstemmed Determination of Mechanical and Fracture Properties of Silicon Single Crystal from Indentation Experiments and Finite Element Modelling
title_sort determination of mechanical and fracture properties of silicon single crystal from indentation experiments and finite element modelling
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/2386ccce74cf4110a269b759253a860f
work_keys_str_mv AT petrskalka determinationofmechanicalandfracturepropertiesofsiliconsinglecrystalfromindentationexperimentsandfiniteelementmodelling
AT michalkotoul determinationofmechanicalandfracturepropertiesofsiliconsinglecrystalfromindentationexperimentsandfiniteelementmodelling
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