Numerical Analysis of the Influence of In-Plane Constraints on the Crack Tip Opening Displacement for SEN(B) Specimens Under Predominantly Plane Strain Conditions
This paper presents a numerical analysis of the relationship between in-plane constraints and the crack tip opening displacement (CTOD) for single-edge notched bend (SEN(B)) specimens under predominantly plane strain conditions. It provides details of the numerical model and discusses the influence...
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Online Access: | https://doi.org/10.1515/ijame-2016-0050 |
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doaj-2c3ecc8148bf4bcda180fd874c9a37602021-09-05T20:51:06ZengSciendoInternational Journal of Applied Mechanics and Engineering1734-44922353-90032016-12-0121484986610.1515/ijame-2016-0050ijame-2016-0050Numerical Analysis of the Influence of In-Plane Constraints on the Crack Tip Opening Displacement for SEN(B) Specimens Under Predominantly Plane Strain ConditionsGraba M.0Kielce University of Technology, Faculty of Mechatronics and Mechanical Engineering, Department of Manufacturing Engineering and Metrology, Al. 1000-lecia PP 7, 25-314 Kielce, PolandThis paper presents a numerical analysis of the relationship between in-plane constraints and the crack tip opening displacement (CTOD) for single-edge notched bend (SEN(B)) specimens under predominantly plane strain conditions. It provides details of the numerical model and discusses the influence of external load and in-plane constraints on the CTOD. The work also reviews methods for determining the CTOD. The new formula proposed in this paper can be used to estimate the value of the coefficient dn as a function of the relative crack length, the strain hardening exponent and the yield strength - dn(n, σ0/E, a/W), with these parameters affecting the level of in-plane constraints. Some of the numerical results were approximated using simple mathematical formulae.https://doi.org/10.1515/ijame-2016-0050sen(b)j-integralctodq-stressesfracturefemcoefficient dn |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Graba M. |
spellingShingle |
Graba M. Numerical Analysis of the Influence of In-Plane Constraints on the Crack Tip Opening Displacement for SEN(B) Specimens Under Predominantly Plane Strain Conditions International Journal of Applied Mechanics and Engineering sen(b) j-integral ctod q-stresses fracture fem coefficient dn |
author_facet |
Graba M. |
author_sort |
Graba M. |
title |
Numerical Analysis of the Influence of In-Plane Constraints on the Crack Tip Opening Displacement for SEN(B) Specimens Under Predominantly Plane Strain Conditions |
title_short |
Numerical Analysis of the Influence of In-Plane Constraints on the Crack Tip Opening Displacement for SEN(B) Specimens Under Predominantly Plane Strain Conditions |
title_full |
Numerical Analysis of the Influence of In-Plane Constraints on the Crack Tip Opening Displacement for SEN(B) Specimens Under Predominantly Plane Strain Conditions |
title_fullStr |
Numerical Analysis of the Influence of In-Plane Constraints on the Crack Tip Opening Displacement for SEN(B) Specimens Under Predominantly Plane Strain Conditions |
title_full_unstemmed |
Numerical Analysis of the Influence of In-Plane Constraints on the Crack Tip Opening Displacement for SEN(B) Specimens Under Predominantly Plane Strain Conditions |
title_sort |
numerical analysis of the influence of in-plane constraints on the crack tip opening displacement for sen(b) specimens under predominantly plane strain conditions |
publisher |
Sciendo |
series |
International Journal of Applied Mechanics and Engineering |
issn |
1734-4492 2353-9003 |
publishDate |
2016-12-01 |
description |
This paper presents a numerical analysis of the relationship between in-plane constraints and the crack tip opening displacement (CTOD) for single-edge notched bend (SEN(B)) specimens under predominantly plane strain conditions. It provides details of the numerical model and discusses the influence of external load and in-plane constraints on the CTOD. The work also reviews methods for determining the CTOD. The new formula proposed in this paper can be used to estimate the value of the coefficient dn as a function of the relative crack length, the strain hardening exponent and the yield strength - dn(n, σ0/E, a/W), with these parameters affecting the level of in-plane constraints. Some of the numerical results were approximated using simple mathematical formulae. |
topic |
sen(b) j-integral ctod q-stresses fracture fem coefficient dn |
url |
https://doi.org/10.1515/ijame-2016-0050 |
work_keys_str_mv |
AT grabam numericalanalysisoftheinfluenceofinplaneconstraintsonthecracktipopeningdisplacementforsenbspecimensunderpredominantlyplanestrainconditions |
_version_ |
1717784283949563904 |