Incorporation of Obstacle Hardening into Local Approach to Cleavage Fracture to Predict Temperature Effects in the Ductile to Brittle Transition Regime

Ductile-to-brittle-transition refers to observable change in fracture mode with decreasing temperature—from slow ductile crack growth to rapid cleavage. It is exhibited by body-centred cubic metals and presents a challenge for integrity assessment of structural components made of such metals. Local...

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Main Authors: Maria S. Yankova, Andrey P. Jivkov, Rajesh Patel
Format: Article
Language:English
Published: MDPI AG 2021-03-01
Series:Materials
Subjects:
Online Access:https://www.mdpi.com/1996-1944/14/5/1224
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spelling doaj-a18ad0bdec564df8bc83498bbbbb87442021-03-06T00:02:08ZengMDPI AGMaterials1996-19442021-03-01141224122410.3390/ma14051224Incorporation of Obstacle Hardening into Local Approach to Cleavage Fracture to Predict Temperature Effects in the Ductile to Brittle Transition RegimeMaria S. Yankova0Andrey P. Jivkov1Rajesh Patel2Department of Mechanical, Aerospace and Civil Engineering, University of Manchester, Oxford Rd, Manchester M13 9PL, UKDepartment of Mechanical, Aerospace and Civil Engineering, University of Manchester, Oxford Rd, Manchester M13 9PL, UKNational Nuclear Laboratory, Sperry Way, Stonehouse, GL10 3UT, UKDuctile-to-brittle-transition refers to observable change in fracture mode with decreasing temperature—from slow ductile crack growth to rapid cleavage. It is exhibited by body-centred cubic metals and presents a challenge for integrity assessment of structural components made of such metals. Local approaches to cleavage fracture, based on Weibull stress as a cleavage crack-driving force, have been shown to predict fracture toughness at very low temperatures. However, they are ineffective in the transition regime without the recalibration of Weibull stress parameters, which requires further testing and thus diminishes their predictive capability. We propose new Weibull stress formulation with thinning function based on obstacle hardening model, which modifies the number of cleavage-initiating features with temperature. Our model is implemented as a post-processor of finite element analysis results. It is applied to analyses of standard compact tension specimens of typical reactor pressure vessel steel, for which deformation and fracture toughness properties in the transition regime are available. It is shown that the new Weibull stress is independent of temperature, and of Weibull shape parameter, within the experimental error. It accurately predicts the fracture toughness at any temperature in the transition regime without relying upon empirical fits for the first time.https://www.mdpi.com/1996-1944/14/5/1224cleavage fracturefinite element analysislocal approachWeibull stress
collection DOAJ
language English
format Article
sources DOAJ
author Maria S. Yankova
Andrey P. Jivkov
Rajesh Patel
spellingShingle Maria S. Yankova
Andrey P. Jivkov
Rajesh Patel
Incorporation of Obstacle Hardening into Local Approach to Cleavage Fracture to Predict Temperature Effects in the Ductile to Brittle Transition Regime
Materials
cleavage fracture
finite element analysis
local approach
Weibull stress
author_facet Maria S. Yankova
Andrey P. Jivkov
Rajesh Patel
author_sort Maria S. Yankova
title Incorporation of Obstacle Hardening into Local Approach to Cleavage Fracture to Predict Temperature Effects in the Ductile to Brittle Transition Regime
title_short Incorporation of Obstacle Hardening into Local Approach to Cleavage Fracture to Predict Temperature Effects in the Ductile to Brittle Transition Regime
title_full Incorporation of Obstacle Hardening into Local Approach to Cleavage Fracture to Predict Temperature Effects in the Ductile to Brittle Transition Regime
title_fullStr Incorporation of Obstacle Hardening into Local Approach to Cleavage Fracture to Predict Temperature Effects in the Ductile to Brittle Transition Regime
title_full_unstemmed Incorporation of Obstacle Hardening into Local Approach to Cleavage Fracture to Predict Temperature Effects in the Ductile to Brittle Transition Regime
title_sort incorporation of obstacle hardening into local approach to cleavage fracture to predict temperature effects in the ductile to brittle transition regime
publisher MDPI AG
series Materials
issn 1996-1944
publishDate 2021-03-01
description Ductile-to-brittle-transition refers to observable change in fracture mode with decreasing temperature—from slow ductile crack growth to rapid cleavage. It is exhibited by body-centred cubic metals and presents a challenge for integrity assessment of structural components made of such metals. Local approaches to cleavage fracture, based on Weibull stress as a cleavage crack-driving force, have been shown to predict fracture toughness at very low temperatures. However, they are ineffective in the transition regime without the recalibration of Weibull stress parameters, which requires further testing and thus diminishes their predictive capability. We propose new Weibull stress formulation with thinning function based on obstacle hardening model, which modifies the number of cleavage-initiating features with temperature. Our model is implemented as a post-processor of finite element analysis results. It is applied to analyses of standard compact tension specimens of typical reactor pressure vessel steel, for which deformation and fracture toughness properties in the transition regime are available. It is shown that the new Weibull stress is independent of temperature, and of Weibull shape parameter, within the experimental error. It accurately predicts the fracture toughness at any temperature in the transition regime without relying upon empirical fits for the first time.
topic cleavage fracture
finite element analysis
local approach
Weibull stress
url https://www.mdpi.com/1996-1944/14/5/1224
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AT andreypjivkov incorporationofobstaclehardeningintolocalapproachtocleavagefracturetopredicttemperatureeffectsintheductiletobrittletransitionregime
AT rajeshpatel incorporationofobstaclehardeningintolocalapproachtocleavagefracturetopredicttemperatureeffectsintheductiletobrittletransitionregime
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