Finite element analysis of the crack propagation for solid materials

American Journal of Applied Sciences

Volumn 6, Issue 7, 2009, Pages 1396-1402

  Souiyah, Miloud ^a   Muchtar, A ^a   Alshoaibi, Abdulnaser ^a   Ariffin, A K ^a  

^a UNIVERSITI KEBANGSAAN MALAYSIA   (Malaysia)

Author keywords

Adaptive refinement; Finite element; Linear elastic fracture mechanics; Stress intensity factors

Indexed keywords

EID: 70349274120     PISSN: 15469239     EISSN: 15543641     Source Type: Journal    
DOI: 10.3844/ajassp.2009.1396.1402     Document Type: Article

References (26)

1. Gustavo, V.G., P. Jaime and E. Manuel, 2000. KI evaluation by the displacement extrapolation technique. Eng. Fract. Mech., 66: 243-255. DOI: 10.1016/S0013-7944(00)00016-3
2. De Araújo, T., T. Bittencourt, D. Roehl and L. Martha, 2000. Numerical estimation of fracture parameters in elastic and elastic-plastic analysis. Proceeding of the European Congress on Computational Methods in Applied Sciences and Engineering, Sep. 11-14, Barcelona, pp: 1-18. http://www.tecgraf.pucrio.br/publications/artigo_2000_numerical_estimati on_fracture_parameters.pdf
3. Yan, X., 2006. Cracks emanating from circular hole or square hole in rectangular plate in tension. Eng. Fract. Mech., 73: 1743-1754. DOI: 10.1016/J.ENGFRACMECH.2006.02.003
4. Murakami, Y., 1978. A method of stress intensity factor calculation for the crack emanating from an arbitrarily shaped hole or the crack in the vicinity of an arbitrarily shaped hole. Trans Jap. Soc. Mech. Eng., 44: 423-32.
5. Shahani, A. and S. Tabatabaei, 2008. Computation of mixed mode stress intensity factors in a fourpoint bend specimen. Applied Math. Model., 32: 1281-1288. DOI: 10.1016/J.APM.2007.04.001
6. Laurencin, J., G. Delette and M. Dupeux, 2007. An estimation of ceramic fracture at singularities by a statistical approach. J. Eur. Ceramic Soc., 28: 1-13. http://cat.inist.fr/?aModele=afficheN&cpsidt=19372889
7. Kutuka, M.A., N. Atmacab and I.H. Guzelbey, 2007. Explicit formulation of SIF using neural networks for opening mode of fracture. Int. J. Eng. Struct., 29: 2080-2086. DOI:10.1016/J.ENGSTRUCT.2006.11.008
8. Aour, B., O. Rahmani and B. Nait-Abdelaziz, 2007. A coupled FEM/BEM approach and its accuracy for solving crack problems in fracture mechanics. Int. J. Solids Struct., 44: 2523-2539. http://cat.inist.fr/?aModele=afficheN&cpsidt=1858 2833
9. Stanislav, S. and K. Zdenek, 2008. Two parameter fracture mechanics: Fatigue crack behavior under mixed mode conditions. Eng. Fract. Mech., 75: 857-865.DOI: 10.1016/J.ENGFRACMECH.2007.04.011 10.
10. Owen, D., 1973. Stress intensity factors for cracks in a plate containing a hole and in a spinning disc. Int. J. Fract., 4: 471-476. DOI:10.1007/BF00036327
11. Chang, R., 1981. Static finite element stress intensity factors for annular cracks. J. Nondestruct. Evaluat., 2: 119-124. DOI: 10.1007/BF00566309
12. Newman, J., 1971. An improved method of collocation for the stress analysis of cracked plates with various shaped boundaries. NASA TN., 6376: 1-45.
13. Bowie, O.L., 1956. Analysis of an infinite plate containing radial cracks originating at the boundary of an internal circular hole. J. Math. Phys., 35: 60-71.
14. Abdelaziz, Y., N. Abou-bekr and A. Hamouine, 2007. Numerical modeling of the crack tip singularity, Int. J. Mater. Sci., 2: 65-72.
15. Alshoaibi, A., M. Hadi and A. Ariffin, 2007. Two-dimensional numerical estimation of stress intensity factors and crack propagation in linear elastic analysis. J. Struct. Durability Health Monit.,3: 15-28. http://techscience.com/paper.asp?jnl=sdhm&issue=v3n1&no=02
16. Löhner, R., 1997. Automatic unstructured grid generators. Finite Element Anal. Des., 25: 111-134. http://portal.acm.org/citation.cfm?id=249287
17. Zienkiewicz, O., R. Taylor and J. Zhu, 2005. The Finite Element Method: Its Basis and Fundamental. 6th Edn., Baker and Taylor Books. Oxford, ISBN: 10: 0750663200, pp: 752.
18. Alshoaibi, M. and A. Ariffin, 2006. Finite element simulation of stress intensity factors in elasticplastic crack growth. J. Zhejiang Univ. Sci. Int. J. Applied Phys. Eng., 7: 1336-1342. DOI: 10.1631/jzus.2006.A1336
19. Souiyah, M., A. Alshoaibi, A. Muchtar and A. Ariffin, 2008. Finite element model for linear-elastic mixed mode loading using adaptive mesh strategy. J. Zhejiang Univ. Sci A., 9: 32-37. DOI: 10.1631/jzus.A072176
20. Matos, P.F.P., P.M. Moreira, A. Portela and P.M. Castro, 2004. Dual boundary element analysis of cracked plates: Post-processing implementation of the singularity subtraction technique. Comput. Struct., 82: 1443-1449. DOI: 10.1016/J.COMPSTRUC.2004.03.040
21. Freese, C. and D. Tracey, 1976. The natural triangle versus collapsed quadrilateral for elastic crack analysis. Int. J. Fract., 12: 767-770. DOI: 10.1007/BF00037924
22. Tada, H., P.C. Paris and G.R. Irwin, 2000. The Stress Analysis of Cracks Handbook. 3rd Edn., ASME Press, New York, USA., ISBN: 10:0791801535, pp: 696.
23. Zhu, W. and D. Smith, 1995. On the use of the displacement extrapolation to obtain crack tip singular stresses and stress intensity factor. Eng. Fract. Mech., 51: 391-400. DOI: 10.1016/0013-7944(94)00319-D
24. Muravin, B. and E. Turkel, 2006. Multiple cracks multiple crack weight for solution of multiple cracks by meshless numerical methods. Int. J. Numer. Methods Eng., 67: 1146-1159. http://cat.inist.fr/?aModele=afficheN&cpsidt=18079366
25. Belytschko, T., Y.Y. Lu and L. Gu, 1994. Elementfree Galerkin methods. Int. J. Numer. Methods Eng., 37: 229-256. http://cat.inist.fr/?aModele=afficheN&cpsidt=3873 468
26. Lu, Y.Y., T. Belytschko and M. Tabbara,1995. Element-free Galerkin method for wave propagation and dynamic fracture. Comput. Methods Applied Mech. Eng., 126: 131-153. DOI: 10.1016/0045-7825(95)00804-A