Application of the Extended Finite Element Method to the Penetration Problem for a Body with Cracks

Abstract:

The XFEM makes research within a standard finite element framework and needs not mesh repartition to geometric and physical interface, and it reserves all merits of the CFEM, therefore it is the most effective numerical method to solve discontinuous dynamic problems so far. The crack growth problem was studied in the XFEM computation, and the displacement mode of elements with cracks and fracture criterion were presented. The numerical examples for steel rod penetrating in the aluminum target concluded that the method and program were reasonable and effective. The crack growth discipline of penetration process for metal material was summarized, and it would establish theoretic base for the further application of the XFEM.

• Periodical: Applied Mechanics and Materials (Volumes 321-324)
• Pages: 146-149
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.321-324.146
• Online since: June 2013
• Authors: Feng Wang, Hui Xu, Jing Yu, Xi Quan Jiang, Long Yu
• Keywords: Crack Growth, Discontinuous Problem, Extended Finite Element Method (XFEM), Numerical Simulation, Penetration

References

[1] Daux C, Moes N, Dolbow J, Sukumar N, Belytschko T. Arbitrary branched and intersecting cracks with the extended finite element method [J]. International Journal for Numerical Methods in Engineering, 2000, 48(12): 1741-1760.

DOI: 10.1002/1097-0207(20000830)48:12<1741::aid-nme956>3.0.co;2-l

[2] Sukumar N, Moes N, Moran B, Belytschko T. Extended finite element method for three-dimensional crack modeling [J]. International Journal for Numerical Methods in Engineering, 2000, 48(11):1549-1570.

DOI: 10.1002/1097-0207(20000820)48:11<1549::aid-nme955>3.0.co;2-a

[3] Stolarska M, Chopp D L, Moes N, Belytschko T. Modeling crack growth by level sets in the extended finite element method [J]. International Journal for Numerical Methods in Engineering, 2001, 51(6):943-960.

DOI: 10.1002/nme.201

[4] Tiantang Yu. Numerical aspects of the extended finite element method [J]. Rock and Soil Mechanics, 2007, 28(S1): 305-310. (In Chinese)

[5] Wells G N, Sluys L J. A new method for modeling cohesive cracks using finite element [J]. International Journal for Numerical Methods in Engineering, 2001, 50(12): 2667~2682.

DOI: 10.1002/nme.143

[6] Piekutowski A J, Forrestal M J, Poormon K L, Warren T L. Perforation of aluminum plates with ogive-nose steel rods at normal and oblique impacts [J]. International Journal of Impact Engineering, 1996,18(7-8):877－887.

DOI: 10.1016/s0734-743x(96)00011-5

[7] Feng Wang, Xiaojun Wang, Xiuzhang Hu, et al. Oblique penetration of an ogive-nosed rod into the aluminum target．Explosion and Shock Waves, 2005, 25(3): 265-270. (In Chinese)