A θ{symbol} method-based numerical simulation of crack growth in linear elastic fracture

Engineering Fracture Mechanics

Volumn 74, Issue 11, 2007, Pages 1727-1738

  Formica, Giovanni ^a   Fortino, Stefania ^b   Lyly, Mikko ^c  

^a ROMA TRE UNIVERSITY   (Italy)

^b AALTO UNIVERSITY   (Finland)

^c IT Center for Science   (Finland)

Author keywords

symbol method; Finite element method (FEM); Linear elastic fracture mechanics (LEFM); Quasi static crack propagation

Indexed keywords

COMPUTER SIMULATION; ELASTIC DEFORMATION; FINITE ELEMENT METHOD;

LINEAR ELASTIC FRACTURE MECHANICS; QUASI-STATIC CRACK PROPAGATION;

CRACK PROPAGATION;

COMPUTER SIMULATION; CRACK PROPAGATION; ELASTIC DEFORMATION; FINITE ELEMENT METHOD;

EID: 33847751754     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2006.09.020     Document Type: Article

References (22)

1. Xi Y., and Bažant Z.P. Random growth of crack with R-curve: Markov process model. Engng Frac Mech 57 (1997) 593-608
2. Bažant Z.P., and Planas J. Fracture and size effect in concrete and other quasibrittle materials (1998), CRC Press
3. Anderson T.L. Fracture mechanics, fundamentals and applications. 2nd ed. (1995), CRC
4. Griffith A. The phenomena of rupture and flow in solids. Philos Trans Roy Soc London Ser A 221 (1920) 163-198
5. Fortino S., and Bilotta A. Evaluation of the amount of crack growth in 2D LEFM problem. Engng Frac Mech 71 (2004) 1403-1419
6. Fortino S, Bilotta A. An incremental elastic-plastic analysis for 2D fracture mechanics problems. In: Proceedings of the Congress ECCOMAS 2004, Jyväskylä, Finland, July 24-28; 2004.
7. Paris P., and Erdogan F. A critical analysis of crack propagation laws. J Basic Engng 85 (1963) 528-534
8. Moës N., Dolbow J., and Belytschko T. A finite element method for crack growth without remeshing. Int J Numer Meth Engng 46 (1999) 131-150
9. Budyn E., Zi G., Moës N., and Belytschko T. A method for multiple crack growth in brittle materials. Int J Numer Meth Engng 61 (2004) 1741-1770
10. Rao B.N., and Rahman S. An efficient meshless method for fracture analysis of cracks. Comp Mech 26 (2000) 398-408
11. Tabbara M.R., and Stone C.M. A computational method for quasi-static fracture. Comp Mech 22 (1998) 203-210
12. Lee G., Chung H., and Choi C. Adaptive crack propagation analysis with the element free Galerkin method. Int J Numer Meth Engng 56 (2003) 331-350
13. Nguyen Q.S. Critère de propagation en rupture ductile. CR Acad Sci Paris, t 301, Série II 9 (1985) 567-570
14. Nguyen Q.S., Stolz C., and Debruyne G. Energy methods in fracture mechanics: stability, bifurcation and second variations. Eur J Mech, A/Solids 9 2 (1990) 157-173
15. Irwin J.R. Analysis of stresses and strains near the end of a crack traversing a plate. J Appl Mech 24 (1957) 361-364
16. Destuynder P., and Djaoua M. Sur une interprétation mathématique de l'intégrale de Rice en Théorie de la rupture fragile. Math Meth Appl Sci 3 (1981) 70-87
17. Debruyne G. Proposition d'un paramètre énergétique de rupture pour les matériaux dissipatifs. CR Acad Sci Paris, Série II b 328 (2000) 785-791
18. Rice J.R. A path independent integral and the approximate analysis of strain concentration by notches and cracks. J Appl Mech 35 (1968) 145-153
19. Dubois F., Chazal C., and Petit C. A finite element analysis of creep-crack growth in viscoelastic media. Mech Time-Depend Mater 2 (1999) 269-286
20. Wadier Y, Debruyne G, New energetic parameters for cleavage fracture and ductile tearing. Application to the analysis of a subclad flaw located in a pressure vessel of a PWR and submitted to a thermal transient. In: Proceedings of ASME: pressure vessel and piping conference, Seattle, July 26-30, 2000.
21. Rudoy E.M. Differentiation of energy functionals in two-dimensional elasticity theory for solids with curvilinear cracks. J Appl Mech Tech Phys 45 6 (2004) 843-852
22. Tada H., Paris P.C., and Irwin G.R. The stress analysis of cracks handbook. 2nd ed. (1985), Paris Production, St. Louis (MO)