Numerical analysis of stress intensity factor and T-stress in pipeline of steel P264GH submitted to loading conditions

• Autorzy: Moustabchir H. , Arbaoui J. , Zitouni A. , Hariri S. , Dmytrakh I.

Identyfikatory

DOI

10.15632/jtam-pl.53.3.665

• Języki publikacji: EN

Abstrakty

EN

Stress singularities occur at crack tips, corners and material interfaces. The stress intensity factors and T-stresses are coefficients of structural components where the active stress singular and first regular stress terms, respectively, are denoted by William’s eigen function expansion series. A finite element analysis by CASTEM 2000 have been undertaken in order to determine the evolution of the T-stress and stress intensity factor terms in mode I for an arc of pipeline specimens with an external surface crack. A stress difference method described by Moustabchir et al. (2012) are adapted and, in the following step, the volumetric method is then embedded to compute the SIFs and T-stress near the crack tip. Different crack geometries combined with different length-to-thickness ratios are examined for the T-stress and stress-intensity factor. The revisited stress difference method employed here shows to be an accurate and robust scheme for evaluating the T-stress/SIFs in an arc of the pipeline.

Słowa kluczowe

EN

T-stres; Stress Intensity Factor (SIF); Finite Element Method (FEM); Stress Difference Method (SDM); volumetric method

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2015
• Tom: Vol. 53 nr 3
• Strony: 665--672
• Opis fizyczny: Bibliogr. 16 poz., rys., tab.

Twórcy

autor

Moustabchir H.

• Équipe Science et Ingénierie des Matériaux (ESIM), Département de Physique, Université My Ismaϊl , Errachidia, Morocco

autor

Arbaoui J.

• ENSTA Bretagne, LBMS/DFMS, Brest Cedex, France

autor

Zitouni A.

• LaBPS, Université Paul Verlaine Metz,Ecole Nationale d’Ingénieurs de Metz, Metz, France

autor

Hariri S.

• TPCIM, Ecole des Mines de Douai, Douai Cedex, France

autor

Dmytrakh I.

• Karpenko Physico-Mechanical Institute of National Academy of Sciences of Ukraine, Lviv, Ukraine

Bibliografia

• 1. Ayatollah M.R., Pavier M.J., Smith D.J., 1998, Determination of T-stress from finite element analysis for mode I and mixed mode I/II loading, International Journal of Fracture, 91, 283-298
• 2. CASTEM 2000.http://www-cast3m.cea.fr/cast3m/index.jsp
• 3. Du Z.-Z., Hancock J.W., 1991, The effect of non-singular stresses on crack-tip constraint, Journal of the Mechanics and Physics of Solids, 39, 555-567
• 4. Fett T., 1997, A Green’s function for T-stresses in an edge cracked rectangular plate, Engineering Fracture Mechanics, 57, 365-373
• 5. Hadj Meliani M., Azari Z., Pluvinage G., Matvienko Yu.G., 2010, The effective T-stress estimation and crack paths emanating from U-notches, Engineering Fracture Mechanics, 77, 1682-1692
• 6. Jayadevan K.R., Thaulow C., østby E., Berg B., Skallerud B., Holthe K., Nyhus B., 2005, Structural integrity of pipelines: T-stress by line-spring, Fatigue and Fracture of Engineering Materials and Structures, 28, 467-488
• 7. Kim J.-H., Paulino G.H., 2003, T-stress, mixed-mode stress intensity factors, and crack initiation angles in functionally graded materials: a unified approach using the interaction integral method, Computer Methods in Applied Mechanics and Engineering, 192, 1463-1494
• 8. Lu K., Meshii T., 2014, Three-dimensional T-stresses for three-point-bend specimens with large thickness variation, Engineering Fracture Mechanics, 116, 197-203
• 9. Mostafavi M., Smith D.J., Pavier M.J., 2010, Reduction of measured toughness due to outof-plane constraint in ductile fracture of aluminium alloy specimens, Fatigue and Fracture of Engineering Materials and Structures, 33, 724-739
• 10. Moustabchir H., Azari Z., Hariri S., Dmytrakh I., 2012, Three-dimensional t-stress to predict the directional stability of crack propagation in a pipeline with external surface crack, Key Engineering Materials, 498, 31- 41
• 11. Nakamura T., Parks D.M., 1991, Determination of elastic T -stress along three-dimensional crack fronts using an interaction integral, International Journal of Solids and Structures, 29, 1597-1611
• 12. Pluvinage G., 2003, Fracture and Fatigue Emanating from Stress Concentrators, Kluwer Publisher, Springer link. 978, 1-4020
• 13. Smith D.J., Ayatollahi M.R., Pavier M.J., 2001, The role of T-stress in brittle fracture for linear elastic materials under mixed-mode loading, Fatigue and Fracture of Engineering Materials and Structures, 24, 137-150
• 14. Sutradhar A., Paulino G.H., 2004, The simple boundary element method for transient heat conduction in functionally graded materials, Computer Methods in Applied Mechanics and Engineering, 193, 4511-4539
• 15. Wang X., 2003, Elastic T-stress solutions for semi-elliptical surface cracks in infinite thickness plates, Engineering Fracture Mechanics, 70, 731-756
• 16. Wang X., Bell R., 2004, Elastic T-stress solutions for semi-elliptical surface cracks infinite thickness plates subject to non-uniform stress distributions, Engineering Fracture Mechanics, 71, 1477-1496