Three-dimensional dynamic fracture analysis using the material point method

CMES - Computer Modeling in Engineering and Sciences

Volumn 16, Issue 3, 2006, Pages 141-155

  Guo, Y J ^a   Nairn, J A ^b  

^a UNIVERSITY OF UTAH   (United States)

^b OREGON STATE UNIVERSITY   (United States)

Author keywords

Contact; Cracks; Dynamic J integral; Dynamic stress intensity; Material point method; Mode I; Mode II; Mode III; MPM. Three dimensional dynamic fracture

Indexed keywords

ALGORITHMS; BOUNDARY ELEMENT METHOD; CRACKS; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; STRESS ANALYSIS; STRESS INTENSITY FACTORS; VECTORS;

CRACK DESCRIPTION; DYNAMIC J-INTEGRAL; DYNAMIC STRESS INTENSITY; MATERIAL POINT METHOD; THREE-DIMENSIONAL DYNAMIC FRACTURE;

FRACTURE;

EID: 33846435188     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (26)

1. Anderson, T. L. (1995): Fracture Mechanics: Fundamentals and Applications. CRC press, Boca Raton, FL, second edition.
2. Bardenhagen, S. G. (2002): Energy conservation error in the material point method. J. Comp. Phys., vol. 180, pp. 383-403.
3. Bardenhagen, S. G.; Brackbill, J. U.; Sulsky, D. (2000): The material point method for granular materials. Computer Methods in Applied Mechanics and Engineering, vol. 187, pp. 529-541.
4. Bardenhagen, S. G.; Guilkey, J. E.; Roessig, K. M.; Brackbill, J. U.; Witzel, W. M.; Foster, J. C. (2001): An improved contact algorithm for the material point method and application to stress propagation in granular material. CMES: Computer Modeling in Engineering & Sciences, vol. 2, pp. 509-522.
5. Batra, R. C.; Ching, H.-K. (2002): Analysis of elastodynamic deformations near a crack/notch tip by the meshless local Petrov- Galerkin (MLPG) method. CMES; Computer Modeling in Engineering & Sciences, Vol. 3, pp. 717-730.
6. Belytschko, T.; Lu, Y. Y.; Gu, L. (1994): Element-free Galerkin methods. Int. J. Num. Meth. Engrg., vol. 37, pp. 229-256.
7. Chen, W.-H.; Chen, C.-H. (2005): On three-dimensional fracture mechanics analysis by an enriched meshless method. CMES: Computer Modeling in Engineering & Sciences, vol. 8, no. 3, pp. 177-190.
8. Chen, Y. M.; Wilkens, M. L. (1977): Numerical Analysis of Dynamic Crack Problems, pp. 317-325. In Elastodynamic Crack Problems, Noordhoff International Publishing, The Netherlands, 1977.
9. Guo, Y.; Nairn, J. A. (2004): Calculation of J-integral and stress intensity factors using the material point method. CMES: Computer Modeling in Engineering & Sciences, vol. 6, pp. 295-308.
10. Nairn, J. A. (2003): Material point method calculations with explicit cracks. CMES: Computer Modeling in Engineering & Sciences, vol. 4, pp. 649-664.
11. Nairn, J. A. (2006): On the calculation of energy release rates for cracked laminates with residual stresses. Int. J Fract. Mech., vol. 139, no. 267-293.
12. Nishioka, T. (1983): A numerical study of the use of path independent integrals in elastic-dynamic crack propagation. Engr. Fract. Mech., vol. 18, pp. 23-33.
13. Nishioka, T. (1995): Recent Developments in Computational Dynamic Fracture Mechanics, pp. 1-58. In Dynamic Fracture Mechanics, Computational Mechanics Publications, Southampton, UK, 1995.
14. Nishioka, T. (1997): Computational dynamic fracture mechanics. Int. J. Fract., vol. 86, pp. 127-159.
15. Nishioka, T. (2005): Recent advances in numerical simulation technologies for various dynamic fracture phenomena, CMES: Computer Modeling in Engineering & Sciences, vol. 10, no. 3, pp. 209-216.
16. Nishioka, T.; Atluri, S. N. (1983): Path-independent integrals, energy release rates, and general solutions of near-tip fields in mixed-mode dynamic fracture mechanics. Engr. Fract. Mech., vol. 18, pp. 1-22.
17. Nishioka, T.; Murakami, R.; Takemoto, Y. (1990): The use of the dynamic J jntegral (J') in finite-element simulation of mode I and mixed-mode dynamic crack propagation. International Journal of Pressure Vessels and Piping, vol. 44, pp. 329-352.
18. Nishioka, T.; Stan, F. (2003): A hybrid experimental-numerical study on the mechanism of three-dimensional dynamic fracture. CMES: Computer Modeling in Engineering & Sciences, vol. 4, pp. 119-140.
19. Nishioka, T.; Tokudome, H.; Kinoshita, M. (2001): Dynamic fracture-path prediction in impact fracture phenomena using moving finite element method based on delaunay automatic mesh generation. Int. J. Solids Struct., vol. 38, pp. 5273-5301.
20. Organ, D. J.; Fleming, M.; Belytschko, T. (1996): Continuous meshless approximations for nonconvex bodies by diffraction and transparency. Computational Mechanics, vol. 18, pp. 225-235.
21. Sladek, J.; Sladek, V.; Krivacek, J.; Zhang, C. (2005): Meshless local petrov-galerkin method for stress and crack analysis in 3-d axisymmetric fgm bodies. CMES: Computer Modeling in Engineering & Sciences, vol. 8, no. 3, pp. 259-270.
22. Sulsky, D.; Chen, Z.; Schreyer, H. L. (1994): A particle method for history-dependent materials. Comput. Methods Appl. Mech. Engrg., vol. 118, pp. 179-186.
23. Sulsky, D.; Schreyer, H. K. (1996): Axisymnmetric form of the material point method with applications to upsetting and Taylor impact problems. Comput. Methods. Appl. Mech. Engrg, vol. 139, pp. 409-429.
24. Sulsky, D.; Zhou, S.-J.; Schreyer, H. L. (1995): Application of a particle-in-cell method to solid mechanics. Comput. Phys. Commun., vol. 87, pp. 236-252.
25. Tada, H.; Paris, P. C.; Irwin, G. (2000): The Stress Analysis of Cracks Handbook: Third Edition. ASM International.
26. Zhou, S. (1998): The Numerical Prediction of Material Failure Based on the Material Point Method. PhD thesis, University of New Mexico, 1998.