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Determination of the fracture processing zone using the stress triaxiality in mode II of fracture mechanics

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Abstract

The problem of fracture toughness evaluation in mode II is treated by using the stress triaxiality and by introducing a new parameter called dM. This parameter is used to evaluate the fracture elaboration zone. Fracture tests are performed on notched ring specimens in 45CrMoSi6 steel under compressive loading. Comparison of dM and the effective distance used in the volumetric method is made to confirm the usefulness of stress triaxiality parameter to determine the critical notch stress intensity factor in fracture mechanics.

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Abbreviations

β :

Stress triaxiality

σ h :

Hydrostatic stress

σ eqVM :

Equivalent von mises stress

σ 1; σ 2; σ 3 :

Principal stresses

E :

Modulus of elasticity

V :

Poisson’s ratio

σ Y :

Yield stress

A% :

Relative elongation

ρ :

Notch radius

α :

Load inclination angle

K κ :

Notch stress intensity factor

σ eff :

Effective stress

X eff :

Effective distance

X(r) :

Relative stress gradient

ψ 0 :

Bifurcation angle

σ θmax :

Maximum hoop stress

F :

Compression load

P C :

Critical load

K cp :

Critical notch stress intensity factor

σ c eff :

Critical effective stress

X c eff :

Critical effective distance

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Acknowledgments

This work is based on experimental tests carried out in collaboration with the “Laboratoire de Fiabilité Mécanique (LFM)” of the University of Metz in France.

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Authors and Affiliations

  1. Department of Mechanics, CRMEF, Settat, Morocco

    B. El Hadim & S. Houmairi

  2. Research Team MMS, ENSA, Agadir, Morocco

    H. El Minor

Authors
  1. B. El Hadim
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  2. S. Houmairi
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  3. H. El Minor
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Corresponding author

Correspondence to B. El Hadim.

Additional information

Brahim El Hadim is a Professor in the Department of Mechanics at the Regional Center of Education and Training Professions of Casablanca-Settat, Morocco. He holds a degree in mechanical engineering in 1993, a 3rd round (DESA) in Mechanics of Structures in 2005 and received his Ph.D in Mechanical Sciences in 2012 from National School of Applied Sciences in the Ibn Zohr Unversity, Agadir, Morocco. His research interest lies in fracture mechanics engineering and mechanical manufacturing.

Said Houmairi is a Professor in the Department of Mechanics at the Regional Center of Education and Training Professions of Casablanca-Settat, Morocco. He received his Ph.D. in Physics in 2009 from the Chouaib Doukkali Unversity, Eljadida, Morocco. His interests include mechanical engineering, optics, metrology and robotics.

Hassan El Minor is a Professor in Mechanics and Calculation of Structures at the “Ecole Nationale des Sciences Appliquées” (ENSA) of Agadir, Morocco. He holds his Ph.D. in Mechanics from the university of Rabat, Morocco. His interest lies in fracture mechanics and manufacturing engineering.

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El Hadim, B., Houmairi, S. & El Minor, H. Determination of the fracture processing zone using the stress triaxiality in mode II of fracture mechanics. J Mech Sci Technol 37, 4623–4629 (2023). https://doi.org/10.1007/s12206-023-0817-7

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  • DOI: https://doi.org/10.1007/s12206-023-0817-7

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