Cover
Vol. 21 No. 1 (2021)

Published: January 31, 2021

Pages: 27-37

Original Article

Study the Effect of Perforation Type for Plate with Central Crack on the Stress Intensity Factor Using the XFEM

Abstract

In this study, loading was carried out for several types of perforated plates, such as circular, rhombic and rectangular holes, where the holes were arranged in two types, namely straight arrangement and alternating arrangement. The stress intensity factor and shape factor were calculated for each case, taking into account the diameter of the holes. So, it is found the SIF increases significantly when the plate is perforated, and the same applies to the shape factor, also increases. In the case of circular holes, the increases in the average value of (SIF) reached to (80.88 %) when the plate was perforated with alternated arranged of circular holes, while the straight arrangement of circular holes the increases of average values of SIF reach to (67.55 %). Either in the case of rhombus holes: the SIF values are increases to (51.07 %) when the plate was perforated with the alternated arrangement, while in the straight arrangement of holes the (SIF) increase to (35.43 %). It was observed through this study, the increases of stress intensity factor and the shape factor with different crack lengths were more stable in the plate that perforated with an alternated arrangement of holes than the straight arrangement. The higher values of stress intensity factor obtained when the plates were perforated with circular holes, due to the circular shape has more stiffness, so the Absorption of force will be small Compared with the rhombus and rectangular shape that will be less stiffness which the absorption of strength is greater.

References

  1. Goldberg, John Edward, and K. N. Jabbour “Stresses and displacements in perforated plates”, Nuclear Structural Engineering, Vol. 2, No. 4, pp. 360-381, 1965.
  2. Cirello, Antonino, Franco Furgiuele, Carmine Maletta, and Antonino Pasta, “Numerical simulations and experimental measurements of the stress intensity factor in perforated plates”, Engineering Fracture Mechanics, Vol. 75, No. 15, pp. 4383-4393, 2008.
  3. Webb, D. C., K. Kormi, and S. T. S. Al-Hassani, “Use of FEM in performance assessment of perforated plates subject to general loading conditions”, International Journal of Pressure Vessels and Piping, Vol. 64, No. 2, pp. 137-152, 1995.
  4. Chauhan, Mihir M., Dharmendra S. Sharma, and Jatinkumar M. Dave, “Stress intensity factor for hypocycloidal hole in finite plate”, Theoretical and Applied Fracture Mechanics, Vol. 82, pp. 59-68, 2016.
  5. Bailey, R. and R. Hicks, “Behaviour of perforated plates under plane stress”, Journal of Mechanical Engineering Science, Vol. 2, No. 2, pp. 143-165, 1960.
  6. Moës, Nicolas, John Dolbow, and Ted Belytschko, “A finite element method for crack growth without remeshing”, International Journal for Numerical Methods in Engineering, Vol. 46, No. 1, pp. 131-150, 1999.
  7. Sukumar, Natarajan, Nicolas Moës, Brian Moran, and Ted Belytschko, “Extended finite element method for three‐ dimensional crack modelling”, International Journal for Numerical Methods in Engineering, Vol. 48, No. 11, pp. 1549-1570, 2000.
  8. Stazi, F. L., Elisa Budyn, Jack Chessa, and Ted Belytschko, “An extended finite element method with higher-order elements for curved cracks”, Computational Mechanics, Vol. 31, No. 1-2, pp. 38-48, 2003.
  9. Eftekhari, M., A. Baghbanan, and H. Hashemolhosseini, “Determining stress intensity factor for cracked brazilian disc using extended finite element method”, International Journal of Scientific Engineering and Technology, Vol. 3, No. 7, pp. 890-893, 2014.
  10. Daux, Christophe, Nicolas Moës, John Dolbow, Natarajan Sukumar, and Ted Belytschko, “Arbitrary branched and intersecting cracks with the extended finite element method”, International Journal for Numerical Methods in Engineering, Vol. 48, No. 12, pp. 1741-1760, 2000.
  11. Jiang, Shouyan, Zongquan Ying, and D. U. Chengbin, “The optimal XFEM approximation for fracture analysis”, Materials Science and Engineering, Vol. 10, pp. 1-10, 2010.
  12. Khalaf, Hassanien I., “Crack Propagation in Plane Stress Problems by Using Experimental and Extended Finite Element Method (XFEM)”, Ph.D. thesis, Mechanical Engineering Department, College of Engineering, University of Basrah, 2015.
  13. Schreurs, P. J. G, “Lecture notes-course 4A780 Concept version”, Materials Technology, 2012.
  14. Nama, Sabreen Saad’ “Investigation of Stress Intensity Factor for Corrugated Plates with Different Profiles Using Extended Finite Element (XFEM)”, Ph.D. thesis, Mechanical Engineering Department, College of Engineering, University of Basrah, 2018.
  15. Laftah, Rafil Mahmood, “Study of Stress Intensity Factor in Corrugated Plate Using Extended Finite Element Method (XFEM)”, Engineering and Technology Journal, Part (A), Vol. 34, No. 15, pp. 2982-2992, 2016.
  16. Nama, Sabreen Saad, and Rafil Mahmood Laftah, “Investigation of Stress Intensity Factor for Corrugated Plates with Different Profiles Using Extended Finite Element (XFEM)”, Basrah Journal for Engineering Sciences, Vol. 18, No. 1, pp. 1-9, 2018.