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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Main Author: Graba M.
Format: Article
Language:English
Published: Sciendo 2016-12-01
Series:International Journal of Applied Mechanics and Engineering
Subjects:
fem
Online Access:https://doi.org/10.1515/ijame-2016-0050
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spelling 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
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