Cover
Vol. 18 No. 1 (2018)

Published: February 28, 2018

Pages: 1-9

Original Article

Investigation of Stress Intensity Factor for Corrugated Plates with Different Profiles Using Extended Finite Element (XFEM)

Abstract

Corrugated plates play very important role in various engineering applications. The occurrence of crack in the body of corrugated plate might results in catastrophic failure. In the present paper there are different profiles of corrugated plates (trapezoidal, sinusoidal and triangle) that are studied. In each profile the stress intensity factor and shape factor were calculated for various crack orientations, various corrugation angles and different curvature radius for the same profile. They are all subjected to different loading conditions using Extended Finite Element Method (XFEM). It is found the stress intensity factor when load applied parallel to corrugation direction is higher when load applied perpendicular to corrugation direction. Also found that the stress intensity factor increase by 115% when curvature radius increases with the load applied perpendicular to corrugation. This study also found and explained that the stress intensity factor increases slightly when the corrugation angle of triangle corrugated plate increases. In all cases studied, the trapezoidal corrugated plate shows the lower values of stress intensity factor compared to the sinusoidal and triangle corrugated plates.

References

  1. Kovesdi ,B., Dunai L., " Determination Of The Patch Loading Resistance Of Girders With Corrugated Webs Using Nonlinear Finite Element Analysis ", Computer and Structure , 89, 2010-2019, 2011 .
  2. Sedky Abdullah Tohamy, Osama Mohamed Abu El Ela, Amr Bakr Saddek ,Ahmed Ibrahim Mohamed," Efficiency Of Plate Girder With Corrugated Web Versus Plate Girder With Flat Web", Mini Journal of Engineering and Technology, (MGET). Vol. 32, No, January 2013.
  3. Laftah , Rafil Mahmood, " Study Of Stress Intensity Factor In Corrugated Plate Using Extended Finite Element Method" Eng. &Tech. journal . Vol. 3, part (A). No. 15, 2016.
  4. Ehsan Hedayyati , Mohammad Vahedi," Using Extended Finite Element Method For Computation Of The Stress Intensity Factor ,Crack Growth Simulation and Predicting Fatigue Crack Growth In a Slant –Cracked Plate of 6061- T651Aluminum ,World Journal of Mechanics , 2014,4 ,24- 30 . Elsevier
  5. Zhuo Zhuang , Zhanli Liu , Binbin Cheng and Jianhiu Liao , " Extended Finite Element Method " , Published by Inc, First Edition , (2014).
  6. T.L. Anderson, Ph, D, "Fracture Mechanic, Fundamental and Applications ",Third edition ,CRC Press, Taylor and Francis Group, 2005.
  7. Richard .S., HassamH.,Wagdy G.,Robert G., Mohamed E ., " Corrugated Web Girder Shape And Strength Criteria ", National Center for Engineering Research on advance Technology for large structural system, ATLSS Report No. 03-18, Civil and Environmental Engineering, Lehigh University, 2003.
  8. H. L. Wealds' and R. J. H. Wanhill, "Fracture Mechanics", Edward Aronold (publishers) Ltd, F
  9. Leila Hosseinzadeh, Fereshteh Emami, Masood Mofid, "Experimental Investigation On The Behavior Of Corrugated Steel Shear Wall Subjected To The Different Angle Of Trapezoidal Plate ", Structure Design Tall Spec Build.2017; e1390 .
  10. N.Sukumar, N.Moes ,B.Moran and T. Belytschko , " Extended Finite Element Method For Three Dimensional Crack Modelling", International Journal For Numerical Method In Engineering. No Meth Engineering 2000; 48: 1549-1570.
  11. Kazuki Shibanuma ,Phd. Thesis ,"Reformulation of XFEM and its Application to Fatigue Crack Simulation in Steel Structure", Kyoto University, 2010.
  12. J.M. Melenk and I. Babuska, " The Partition of Unity Finite Element Method: Basic Theory and Applications", Computer Methods in Applied Mechanics and Engineering ,Vol. 39, pp. 289-314, (1996).
  13. Shouyan Jiang, Zongquan Ying and Chengbin DU, "The Optimal XFEM Approximation For Fracture Analysis ", Materials Science and Engineering, Vol. 10, (2010).
  14. Amir R. Khoei "Extended Finite Element Method Theory and Applications" Published by John Wiley & Sons, Ltd, First Edition, (2015).
  15. Sherif A. Ibrahim, Wael W. El-Dukhakhni and Mohamed Elgaaly, "Behavior of Bridge Girders With Corrugated Webs Under Monotonic and Cyclic Loading" Engineering Structures, 28, (2006) , 1941-1955.
  16. Francisco Xavier Girao Zenoglio de Oliweira, MSc. Thesis, "Crack Modelling with the Extended Finite Element Method" (2013).
  17. Kamal Keswani, Krishan Lok Singh and A .Arokkiaswamy, "Computation of SIF and Crack Growth Simulation Using XFEM Techniques" , International Conference on Advance Research in Mechanical Engineering, (2012).
  18. Khalaf, Hassanien I., "Crack Propagation in Plane Stress Problem by Using Experimental and Extended Finite Element method (XFEM)", Ph.D. Thesis ,University of Basrah, 2015.
  19. I. Nistor, O. Oantale and S. Caperaa, "Stress Analysis Around Crack Tips in Finite Strain Problem Using The Extended Finite Element Method ", International Journal of Numerical Methods in Engineering , Vol. 63, pp. 290-314, (2005).