Mathematical Model of Brittle Fracture of a Cracked Part

Sokolov, S. F.; Tulin, D. E.

doi:10.1134/s1029959922010088

Cited by 5 publications

(5 citation statements)

References 7 publications

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“…A brittle fracture criterion, consisting of two conditions, is used as a condition for the critical state of the fracture process zone. 15 The first condition concerns plasticity, and the second is a cleavage fracture condition:…”

Section: Failure Conditionmentioning

confidence: 99%

“…As a result of such a deformation, dislocation microcracks are initiated, preparing the material for brittle fracture. A brittle fracture criterion, consisting of two conditions, is used as a condition for the critical state of the fracture process zone 15 . The first condition concerns plasticity, and the second is a cleavage fracture condition:

σ_{er} \geq σ_{yT} and σ_{1 r} \geq S_{с} .

…”

Section: Limit State Model Of the Fracture Process Zonementioning

confidence: 99%

“…To describe the loading process of the averaging zone independent of the yield strength of the material, dimensionless parameters were developed 15 :

s_{r} goodbreak= \frac{σ_{1 r}}{σ_{italicyT}} and k goodbreak= \frac{K_{normalI}}{σ_{yT} \sqrt{πr}} .

…”

Section: Limit State Model Of the Fracture Process Zonementioning

confidence: 99%

“…It is based on the application of the generalized brittle fracture theory to the fracture process zone. [13][14][15] This methodology uses the model of the fracture process zone loading process for a crack in an elastic-plastic body which was developed earlier. 16 This paper deals with the methodology for determining the parameters of the limit state of the fracture process zone.…”

Section: Introductionmentioning

confidence: 99%

“…The methodology presented in this paper for analyzing the fracture toughness of steel parts and structures also belongs to the category of physical criteria. It is based on the application of the generalized brittle fracture theory to the fracture process zone 13–15 . This methodology uses the model of the fracture process zone loading process for a crack in an elastic–plastic body which was developed earlier 16 .…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Investigation of the size of the fracture process zone and the cleavage stress in cracked steel parts

Sokolov

Tulin

Vasiliev

2022

Fatigue Fract Eng Mat Struct

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The study is devoted to the development of methods for predicting the brittle fracture of a steel part with a crack. To describe the limit state of the fracture process zone, a mathematical model of the fracture process zone in an elasticplastic stress state and the generalized brittle fracture theory have been used.The cleavage stress and the size of the fracture process zone are used as parameters for the fracture toughness of the material. A finite element analysis approach was developed to determine these parameters by considering the elastic-plastic stress state of cracked specimens. An analytical procedure for calculating the above parameters for low-carbon and low-alloy steels is given.The proposed models allow the analytical calculation of critical values of the stress intensity factor for specimens with cracks at negative temperatures. The development of this study is linked to the improvement of the technology for determining the physical strength criteria of materials. The application of the proposed models makes it possible to create a methodology for predicting crack resistance of welded structures of arctic design considering their geometry and structural and technological characteristics.

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Section: Failure Conditionmentioning

confidence: 99%

σ_{er} \geq σ_{yT} and σ_{1 r} \geq S_{с} .

…”

Section: Limit State Model Of the Fracture Process Zonementioning

confidence: 99%

“…To describe the loading process of the averaging zone independent of the yield strength of the material, dimensionless parameters were developed 15 :