Towards a new model of crack tip stress fields

Christopher, Colin; James, M.N.; Patterson, E. A.; Tee, Kong Fah

doi:10.1007/s10704-008-9209-3

Cited by 98 publications

(102 citation statements)

References 20 publications

(26 reference statements)

Supporting

Mentioning

100

Contrasting

Order By: Relevance

“…The discrepancy, observed between classical fracture criteria predictions [1,2] and different experimental data, has motivated the research on T-stress effects in mixed-mode brittle fracture of cracked structures for approximately the last forty years [3][4][5][6][7][8][9][10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

T-stress effects on crack kinking in Finite Fracture Mechanics

Cornetti

Sapora

Carpinteri

2014

Engineering Fracture Mechanics

View full text Add to dashboard Cite

Section: Introductionmentioning

confidence: 99%

T-stress effects on crack kinking in Finite Fracture Mechanics

Cornetti

Sapora

Carpinteri

2014

Engineering Fracture Mechanics

View full text Add to dashboard Cite

“…Further, an additional force F C is introduced to represent the contribution to vertical force caused by crack closure. James et al [6], [7], then go on to collapse the plastic enclave onto the line of the crack, and develop a Muskhelishvili stress function for the surrounding elastic material. This eventually results in the four terms defined above.…”

Section: Discussion Of the Cjp Modelmentioning

confidence: 99%

“…The Christopher/James/Patterson (CJP) model [6], [7] was selected because of its relatively simple formulation.…”

Section: Introductionmentioning

confidence: 99%

Measurement and analysis of fatigue crack deformation at the micro-scale

Nowell¹,

Dragnevski²,

O’Connor³

2017

Frattura Ed Integrità Strutturale

View full text Add to dashboard Cite

ABSTRACT. This paper introduces the use of digital image correlation for the measurement of surface displacements in the neighbourhood of a crack tip, both at the macro-and micro-scale. Various methods of interpreting the measured data and producing a crack driving force are then discussed, including the use of the full CJP model. A reduced set of parameters are then proposed, corresponding to the three principal interaction forces between the plastic enclave and the surrounding elastic material. Our own results, and those of Vasco Olmo, previously reported in the literature are then reanalysed using this new framework, and excellent agreement between two independent experiments is obtained. Implications for the analysis of further data sets are then discussed.

show abstract

“…Another new math stresses model about the tip of a fatigue crack, who considers the effects of plasticity through an analysis of their shielding effects on the applied elastic field was developed by Christopher et al (2007).…”

Section: Description Of the Fatigue Of A Metal Partmentioning

confidence: 99%

Multiaxial Fatigue Strength to Notched specimens made of 40CrMoV13.9

Berto¹,

Gagani²,

Aversa³

et al. 2016

American Journal of Engineering and Applied Sciences

View full text Add to dashboard Cite

Fatigue is a process (succession of mechanisms) which under the action of time-varying strains or deformations modifies the local properties of a material. These can lead to the formation of cracks and eventual rupture of the structure. Fatigue is in particular characterized by an extent of variation in stress which may be well below the yield strength of the material. The main stages of fatigue failure of an assembly are the initiation of cracks (if defects are not already present in the material), the propagation of cracks and the final rupture. The parameters often used to predict the fatigue behavior and thus the number of cycles at break of a structure is: The amplitude of the stress (loading or imposed strain), its average value, the surface state and the medium In which the structure will be used. Even if the study of fatigue is based on theoretical considerations (in particular the mechanics of the rupture), it is essentially an experimental field. The characterization of a material, a part, an assembly, a structure, requires numerous tests and measurements. The work deals with multiaxial fatigue power of specimens which are notched and all made of 40CrMoV13.9. Circumferentially V-notched specimens and semicircular notched were tested under combined tension and torsion loading, both, in phase or out of phase. Geometry of symmetric axis of V notched issues has been characterized of a notch radius constant from (1 mm) and V-notch opening angle of 90°. The semicircular specimens were characterized by a constant notch tip radius. For both situations the net diameter sectional area was 12 mm. The results from multi-axial tests are discussed together with those obtained being all under loading pure torsion and tension by the issues notched having the same geometry. Altogether more than 120 new fatigue data are summarized in the present work. All presented fatigue data are first in terms of nominal amplitudes stress and then reanalyzed in terms of the mean value of the strain energy density evaluated over a finite size semicircular sector surrounding the tip of the notch.

show abstract

Towards a new model of crack tip stress fields

Cited by 98 publications

References 20 publications

T-stress effects on crack kinking in Finite Fracture Mechanics

T-stress effects on crack kinking in Finite Fracture Mechanics

Measurement and analysis of fatigue crack deformation at the micro-scale

Multiaxial Fatigue Strength to Notched specimens made of 40CrMoV13.9

Contact Info

Product

Resources

About