Crack Growth by Dimensional Reduction Methods

Abstract:

This paper presents a new fatigue crack growth prediction by using the dimensional reduction methods including the dual boundary element method (DBEM) and element-free Galerkin method (EFGM) for two dimensional elastostatic problems. One crack extension segment, i.e. a segment of arc, is introduced to model crack growth path. Based on the maximum principle stress criterion, this new prediction procedure ensures that the crack growth is smooth everywhere except the initial growth and the stress intensity factor of mode II is zero for each crack extension. It is found that the analyses of crack paths using coarse/large size of crack extension are in excellent agreement with analyses of the crack paths by the tangential method with very small increments of crack extension.

• Periodical: Key Engineering Materials (Volumes 525-526)
• Pages: 17-20
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.525-526.17
• Online since: November 2012
• Authors: P.H. Wen, Ferri M.H.Aliabadi
• Keywords: Dual Boundary Element Method, Element-Free Galerkin Method, Fatigue Crack Growth (FCG), Stress Intensity Factor (SIF)

References

[1] Portela, A., Aliabadi, M.H., Rooke, D.P., Computer and Structures, 46 (2), 237-247, (1993).

[2] Portela, A., Aliabadi, M.H., Rooke, D. P INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING  Vol33   Issue: 6   P 1269-1287, (1992).

[3] Aliabadi, M.H., The boundary element method: Applications in solids and structures, John Wiley & Sons, Ltd., West Sussex, England, (2002).

[4] Nayroles, B., Touzot, G and Villon, P., 1992. Computational Mechanics 10, 307-318.

DOI: 10.1007/bf00364252

[5] Belytschko, T., Lu, Y. Y & Gu, L., 1994. Int. J. Numerical Methods in Engineering 37, 229-256.

[6] Wen, P.H. and Aliabadi, M.H., Structural Durability and Health Monitoring, 3 (2), 107-119, (2007).

[7] Kim, K and Lee, H., Int. J. Numerical Methods in Engineering 72, 697-721, (2007).

[8] Wen PH; Aliabadi MH; Rooke DP, Computer Methods in Applied Mechanics and Engineering, Vol 167 Issue: 1-2 P139-151, (1998).

[9] AL Saleh, MH Aliabadi Engineering Fracture Mechanics 51 (4), 533-545, (1995).

[10] A Portela, MH Aliabadi, DP International Journal of Fracture 55 (1), 17-28, (1992).

[11] P Sollero, MH Aliabadi Composite Structures 31 (3), 229-233, (1995).

[12] PH Wen, MH Aliabadi International Journal of Solids and Structures.

[13] Fedelinski P; Aliabadi MH; Rooke DP Computers & Structures Vol59 Issue: 6 P (1996).

[14] Wen P. H.; Aliabadi M. H.; Lin Y. W. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES Vol 30 Issue: 3 P 133-147 (2008).

[15] Albuquerque EL; Sollero P; Aliabadi MH, International Journal for Numerical Methods in Engineering Vol: 59 Issue: 9 P 1187-1205 (2004).

[16] Dirgantara T; Aliabadi MH International Journal of Fracture Vol 105 Issue: 1 P: 27-47, (2000).

[17] Sfantos G. K.; Aliabadi M. H. Source: Computer Methods in Applied Mechanics and Engineering, Vol 196   Issue: 7   P 1310-1329    (2007).

DOI: 10.1016/j.cma.2006.09.004

[18] Wen P. H.; Aliabadi M. H., Communications in Numerical Methods in Engineering  Vol: 24   Issue: 8   P: 635-651   (2008).