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A probabilistic model for cleavage fracture with a length scale-influence of material parameters and constraint
KTH, Superseded Departments, Solid Mechanics.
KTH, Superseded Departments, Solid Mechanics.ORCID iD: 0000-0003-2470-7679
2002 (English)In: International Journal of Fracture, ISSN 0376-9429, E-ISSN 1573-2673, Vol. 118, no 2, 99-118 p.Article in journal (Refereed) Published
Abstract [en]

A probabilistic model for the cumulative probability of failure by cleavage fracture with a material related length scale is developed in this study. The model aims at describing the random nature of fracture in ferritic steels in the brittle-to-ductile transition temperature region. The model derives from use of an exponential function to describe the distribution of microstructural entities eligible to take part in the fracture initiation process, where also a dependence on effective plastic strain is incorporated. A nonlocal stress measure, calculated as the average stress in a spherical volume, drives the contribution to failure probability of an infinitesimal material volume. The radius of the spherical volume enters as the material length in this model. This length has a significant influence on failure probability predictions in geometries exposed to strong stress gradients as found ahead of cracks. The material length is associated with a fracture toughness threshold value. In a fracture application three model parameters need to be estimated based on testing; a parameter directly related to the mean fracture toughness, a parameter that primarily is related to crack-tip constraint effects and the material length parameter. The model is explored in a parametric study showing model features in concord with typical features found in toughness distributions from fracture mechanics testing in the transition region.

Place, publisher, year, edition, pages
2002. Vol. 118, no 2, 99-118 p.
Keyword [en]
cleavage fracture, failure probability, material length, threshold toughness
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-12789DOI: 10.1023/A:1022864513654ISI: 000182131900001OAI: oai:DiVA.org:kth-12789DiVA: diva2:318822
Note
QC 20100511Available from: 2010-05-11 Created: 2010-05-11 Last updated: 2017-12-12Bibliographically approved
In thesis
1. Probabilistic modelling of cleavage fracture
Open this publication in new window or tab >>Probabilistic modelling of cleavage fracture
2001 (English)Licentiate thesis, comprehensive summary (Other scientific)
Place, publisher, year, edition, pages
Stockholm: KTH, 2001. 6 p.
National Category
Engineering and Technology
Identifiers
urn:nbn:se:kth:diva-1362 (URN)
Presentation
(English)
Note
QC 20100511Available from: 2002-01-11 Created: 2002-01-11 Last updated: 2010-05-11Bibliographically approved
2. Probabilistic and micromechanical modelling of cleavage fracture
Open this publication in new window or tab >>Probabilistic and micromechanical modelling of cleavage fracture
2003 (English)Doctoral thesis, comprehensive summary (Other scientific)
Place, publisher, year, edition, pages
Stockholm: KTH, 2003. 22 p.
Series
Trita-HFL, ISSN 1104-6813 ; 0344
Keyword
cleavage fracture, probabilistic, micromechanical
National Category
Engineering and Technology
Identifiers
urn:nbn:se:kth:diva-3605 (URN)
Public defence
2003-10-03, 00:00 (English)
Note
QC 20100511Available from: 2003-10-01 Created: 2003-10-01 Last updated: 2010-05-11Bibliographically approved

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