A Three-Dimensional Elastic-Plastic Contact Analysis of Vickers Indenter on a Deep Drawing Quality Steel Sheet

Three-dimensional finite element-based numerical analysis of Vickers indenter hardness test was conducted to investigate the effect of frictional conditions and material anisotropy on indentation results of deep drawing quality steel sheets. The strain hardening properties and Lankford’s c...

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Main Authors: Tomasz Trzepiecinski, Hirpa G. Lemu
Format: Article
Language:English
Published: MDPI AG 2019-07-01
Series:Materials
Subjects:
Online Access:https://www.mdpi.com/1996-1944/12/13/2153
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spelling doaj-dbafb1535dba440e869918608ec504212020-11-25T01:07:47ZengMDPI AGMaterials1996-19442019-07-011213215310.3390/ma12132153ma12132153A Three-Dimensional Elastic-Plastic Contact Analysis of Vickers Indenter on a Deep Drawing Quality Steel SheetTomasz Trzepiecinski0Hirpa G. Lemu1Department of Materials Forming and Processing, Rzeszow University of Technology, al. Powst. Warszawy 8, 35-959 Rzeszów, PolandFaculty of Science and Technology, University of Stavanger; N-4036 Stavanger, NorwayThree-dimensional finite element-based numerical analysis of Vickers indenter hardness test was conducted to investigate the effect of frictional conditions and material anisotropy on indentation results of deep drawing quality steel sheets. The strain hardening properties and Lankford’s coefficient were determined through the uniaxial tensile tests. The numerical computations were carried out using ABAQUS nonlinear finite element (FE) analysis software. Numerical simulations taken into account anisotropy of material described by Hill (1948) yield a criterion. The stress and strain distributions and loading−unloading characteristics were considered to study the response of the material. It was found that the hardness values seemed to be influenced by the value of the friction coefficient due to the pile-up phenomenon observed. The increasing of the friction coefficient led to a decrease of the pile-up value. Moreover, the width of the pile-ups differed from each other in the two perpendicular directions of measurement. Frictional conditions did not significantly affect the maximum force and the character of load−displacement curves. Frictional regime between the indenter and workpiece caused that the region of maximum residual stresses to be located in the subsurface.https://www.mdpi.com/1996-1944/12/13/2153numerical modelingfinite element methodhardnessmaterial propertiessurface propertiesVickers hardness
collection DOAJ
language English
format Article
sources DOAJ
author Tomasz Trzepiecinski
Hirpa G. Lemu
spellingShingle Tomasz Trzepiecinski
Hirpa G. Lemu
A Three-Dimensional Elastic-Plastic Contact Analysis of Vickers Indenter on a Deep Drawing Quality Steel Sheet
Materials
numerical modeling
finite element method
hardness
material properties
surface properties
Vickers hardness
author_facet Tomasz Trzepiecinski
Hirpa G. Lemu
author_sort Tomasz Trzepiecinski
title A Three-Dimensional Elastic-Plastic Contact Analysis of Vickers Indenter on a Deep Drawing Quality Steel Sheet
title_short A Three-Dimensional Elastic-Plastic Contact Analysis of Vickers Indenter on a Deep Drawing Quality Steel Sheet
title_full A Three-Dimensional Elastic-Plastic Contact Analysis of Vickers Indenter on a Deep Drawing Quality Steel Sheet
title_fullStr A Three-Dimensional Elastic-Plastic Contact Analysis of Vickers Indenter on a Deep Drawing Quality Steel Sheet
title_full_unstemmed A Three-Dimensional Elastic-Plastic Contact Analysis of Vickers Indenter on a Deep Drawing Quality Steel Sheet
title_sort three-dimensional elastic-plastic contact analysis of vickers indenter on a deep drawing quality steel sheet
publisher MDPI AG
series Materials
issn 1996-1944
publishDate 2019-07-01
description Three-dimensional finite element-based numerical analysis of Vickers indenter hardness test was conducted to investigate the effect of frictional conditions and material anisotropy on indentation results of deep drawing quality steel sheets. The strain hardening properties and Lankford’s coefficient were determined through the uniaxial tensile tests. The numerical computations were carried out using ABAQUS nonlinear finite element (FE) analysis software. Numerical simulations taken into account anisotropy of material described by Hill (1948) yield a criterion. The stress and strain distributions and loading−unloading characteristics were considered to study the response of the material. It was found that the hardness values seemed to be influenced by the value of the friction coefficient due to the pile-up phenomenon observed. The increasing of the friction coefficient led to a decrease of the pile-up value. Moreover, the width of the pile-ups differed from each other in the two perpendicular directions of measurement. Frictional conditions did not significantly affect the maximum force and the character of load−displacement curves. Frictional regime between the indenter and workpiece caused that the region of maximum residual stresses to be located in the subsurface.
topic numerical modeling
finite element method
hardness
material properties
surface properties
Vickers hardness
url https://www.mdpi.com/1996-1944/12/13/2153
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