3D Analysis of Crack Growth in Metal Using Tension Tests and XFEM

인장 실험과 XFEM을 이용한 금속 균열 성장의 3 차원적 분석

  • Lee, Sunghyun (School of Mechanical Engineering, Chonnam Nat'l Univ.) ;
  • Jeon, Insu (School of Mechanical Engineering, Chonnam Nat'l Univ.)
  • 이성현 (전남대학교 기계공학부) ;
  • 전인수 (전남대학교 기계공학부)
  • Received : 2014.01.16
  • Accepted : 2014.02.11
  • Published : 2014.04.01


To prevent the occurrence of fractures in metal structures, it is very important to evaluate the 3D crack growth process in those structures and any related parts. In this study, tension tests and two simulations, namely, Simulation-I and Simulation-II, were performed using XFEM to evaluate crack growth in three dimensions. In the tension test, Mode I crack growth was observed for a notched metal specimen. In Simulation-I, a 3D reconstructed model of the specimen was created using CT images of the specimen. Using this model, an FE model was constructed, and crack growth was simulated using XFEM. In Simulation-II, an ideal notch FE model of the same geometric size as the actual specimen was created and then used for simulation. Obtained crack growth simulation results were then compared. Crack growth in the metal specimen was evaluated in three dimensions. It was shown that modeling the real shape of a structure with a crack may be essential for accurately evaluating 3D crack growth.


3D Crack Growth;Microfocus X-Ray CT;Mode I Fracture;XFEM


Supported by : 한국연구재단


  1. Vavrik, D., 2012, "Crack Behavior in Ductile Thin Wall Materials," Technology for Next Generation Vehicle, Vol. 15, pp. 27-33.
  2. Chu, S. J. and Liu, C., 2012, "Finite Element Simulation of Fatigue Crack Growth: Determination of Exponent m in Paris Law," Trans. Korean Soc. Mech. Eng. A, Vol. 36, No. 7, pp. 713-721.
  3. Sander, M. and Richard, H. A., 2005, "Finite Element Analysis of Fatigue Crack Growth with Interspersed Mode I and Mixed Mode Overloads," International Journal of Fatigue, Vol. 27, No. 8, pp. 905-913.
  4. Moes, N., Dolbow, J. and Belytschko, T., 1999, "A Finite Element Method for Crack Growth Without Remeshing," International Journal for Numerical Methods in Engineering, Vol. 46, No. 1, pp. 131-150.<131::AID-NME726>3.0.CO;2-J
  5. AlloysKeswani, K., Singh, K. L. and Arokkiaswamy, A., 2012, "Computation of SIF and Crack Growth Simulation Using XFEM Techniques," International Conference on Advanced Research in Mechanical Engineering.
  6. Das, P., Singh, I. V. and Jayaganthan, R., 2012, "Crack Growth Simulation of Bulk and Ultrafine Grained 7075 Al Alloy by XFEM," International Journal of Materials & Product Technology, Vol. 44, No. 3-4, pp. 252-276.
  7. Gigliotti, L., 2012, "Assessment of the Applicability of XFEM in Abaqus for Modeling Crack Growth in Rubber," Master Thesis, KTH School of Engineering Sciences.
  8. ABAQUS Ver. 6.10, Abaqus Analysis User's Manual.
  9. Jiang, Y., Tay, T. E., Chen, L. and Sun, X. S., 2013, "An Edge-Based Smoothed XFEM for Fracture in Composite Materials," International Journal of Fracture, Vol. 179, No. 1-2, pp. 179-199.
  10. LEVEN, M., 2012, "Stationary 3D Crack Analysis with Abaqus XFEM for Integrity Assessment of Subsea Equipment," Master Thesis, Chalmers University of Technology.
  11. Seabra, M. R., Sustaric, P., Cesar de Sa, J. A. and Rodic, T., 2012, "Damage Driven Crack Initiation and Propagation in Ductile Metals Using XFEM," Computational Mechanics, pp. 1-19.
  12. Ye, C., Shi, J. and Cheng, G. J., 2012, "An eXtended Finite Element Method (XFEM) Study on the Effect of Reinforcing Particles on the Crack Propagation Behavior in a Metal-Matrix Composite," International Journal of Fatigue, Vol. 44, pp. 151-156.
  13. Mesh-Independent Fracture Modeling Using the Extended Finite Element Method(XFEM), http://www.
  14. ABAQUS Ver. 6.10, Abaqus/CAE User's Manual.
  15. Belytschko, T. and Black, T., 1999, "Elastic Crack Growth in Finite Elements with Minimal Remeshing," International Journal for Numerical Methods in Engineering, Vol. 45, No. 5, pp. 601-620.<601::AID-NME598>3.0.CO;2-S
  16. Du, Z., "eXtended Finite Element Method (XFEM) in Abaqus," UK/Advanced-XFEM-Analysis.pdf.
  17. Reinhardt, L. and Cordes, J., 2010, "XFEM Modeling of Mixed-Mode Cracks in Thin Aluminum Panels," 2010 Simulia Customer Conference, pp. 1-13.
  18. Sobotka, J. C., 2010, "Steady Crack Growth Through Ductile Metals: Computational Studies," Ph.D. Thesis, University of Illinois at Urbana-Champaign.
  19. Kim, Y. S., 2000, "Fracture Characteristics of Aluminum Alloy Composites Reinforced with Carbide Particles," School of Metallurgical and Materials Engineering, Kookmin Univ.,, Vol. 22, pp. 43-51.
  21. Pourmodheji, R. and Mashayekhi, M., 2012, "Improvement of the Extended Finite Element Method for Ductile Crack Growth," Materials Science and Engineering: A, Vol. 551, pp. 255-271.

Cited by

  1. Evaluation of stress and crack behavior using the extended finite element method in the composite layer of a type III hydrogen storage vessel vol.32, pp.5, 2018,