Gradient-enhanced statistical analysis of cleavage fracture
File(s)1905.03221.pdf (1.2 MB)
Accepted version
Author(s)
Martinez-Paneda, Emilio
Fuentes-Alonso, Sandra
Betegon, Covadonga
Type
Journal Article
Abstract
We present a probabilistic framework for brittle fracture that builds upon Weibull statistics and strain gradient plasticity. The constitutive response is given by the mechanism-based strain gradient plasticity theory, aiming to accurately characterize crack tip stresses by accounting for the role of plastic strain gradients in elevating local strengthening ahead of cracks. It is shown that gradients of plastic strain elevate the Weibull stress and the probability of failure for a given choice of the threshold stress and the Weibull parameters. The statistical framework presented is used to estimate failure probabilities across temperatures in ferritic steels. The framework has the capability to estimate the three statistical parameters present in the Weibull-type model without any prior assumptions. The calibration against experimental data shows important differences in the values obtained for strain gradient plasticity and conventional J2 plasticity. Moreover, local probability maps show that potential damage initiation sites are much closer to the crack tip in the case of gradient-enhanced plasticity. Finally, the fracture response across the ductile-to-brittle regime is investigated by computing the cleavage resistance curves with increasing temperature. Gradient plasticity predictions appear to show a better agreement with the experiments.
Date Issued
2019-09-01
Date Acceptance
2019-05-08
Citation
European Journal of Mechanics A: Solids, 2019, 77
ISSN
0997-7538
Publisher
Elsevier
Journal / Book Title
European Journal of Mechanics A: Solids
Volume
77
Copyright Statement
© 2019 Elsevier Masson SAS. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence http://creativecommons.org/licenses/by-nc-nd/4.0/
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000482507100008&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Technology
Mechanics
Strain gradient plasticity
Weibull
Cleavage
Finite element analysis
Fracture
DISCRETE DISLOCATION ANALYSIS
PLASTIC STRAIN GRADIENTS
CRACK-GROWTH RESISTANCE
TOUGHNESS
DEFORMATION
PARAMETERS
DIFFUSION
Publication Status
Published
Article Number
UNSP 103785
Date Publish Online
2019-05-17