A finite element method for the computational modelling of cohesive cracks

International Journal for Numerical Methods in Engineering

Volumn 63, Issue 2, 2005, Pages 276-289

  Mergheim, J ^a   Kuhl, E ^a   Steinmann, P ^a  

^a Rheinland Pfälzische Technische Universität Kaiserslautern Landau   (Germany)

Author keywords

Cohesive cracks; Discontinuous elements; Propagating discontinuities

Indexed keywords

BRITTLENESS; COMPUTATIONAL METHODS; CRACKS; MATHEMATICAL MODELS; TRACTION (FRICTION);

COHESIVE CRACKS; COMPUTATIONAL MODELING; INELASTIC MATERIALS; INTERELEMENT BOUNDARIES;

FINITE ELEMENT METHOD;

CRACK; FINITE ELEMENT METHOD;

EID: 18544363405     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.1286     Document Type: Article

References (16)

1. Hansbo A, Hansbo P. An unfitted finite element method, based on Nitsche's method, for elliptic interface problems. Computer Methods in Applied Mechanics and Engineering 2002; 191:5537-5552.
2. Hansbo A, Hansbo P. A finite element method for the simulation of strong and weak discontinuities in elasticity. Computer Methods in Applied Mechanics and Engineering, 2004; 193:3523-3540.
3. Babuska I, Melenk JM. The partition of unity method. International Journal for Numerical Methods in Engineering 1997; 40:727-758.
4. Ortiz M, Leroy Y, Needleman A. A finite element method for localized failure analysis. Computer Methods in Applied Mechanics and Engineering 1987; 61:189-214.
5. Belytschko T, Fish J, Engelmann BE. A finite element with embedded localization zones. Computer Methods in Applied Mechanics and Engineering 1988; 70:59-89.
6. Jirásek M, Zimmermann T. Embedded crack model. Part I: basic formulation. International Journal for Numerical Methods in Engineering 2001; 50:1269-1290.
7. Wells GN. Discontinuous modelling of strain localisation and failure. Ph.D. Thesis, Technische Universiteit Delft, Delft, The Netherlands, 2001.
8. Armero F, Garikipati K. An analysis of strong discontinuities in multiplicative finite strain plasticity and their relation with the numerical simulation of strain localization in solids. International Journal of Solids and Structures 1996; 33:2863-2885.
9. Oliver J, Huespe AE, Pulido MDG, Samaniego E. On the strong discontinuity approach in finite deformation setting. International Journal for Numerical Methods in Engineering 2003; 56:1051-1082.
10. Belytschko T, Black T. Elastic crack growth in finite elements with minimal remeshing. International Journal for Numerical Methods in Engineering 1999; 45:601-620.
11. Moës N, Dolbow J, Belytschko T. A finite element method for crack growth without remeshing. International Journal for Numerical Methods in Engineering 1999; 46:131-150.
12. Sukumar N, Möes N, Moran B, Belytschko T. Extended finite element method for three-dimensional crack modeling. International Journal for Numerical Methods in Engineering 2000; 48:1549-1570.
13. Daux C, Moës N, Dolbow J, Sukumar N, Belytschko T. Arbitrary branched and intersecting cracks with the extended finite element method. International Journal for Numerical Methods in Engineering 2000; 48:1741-1760.
14. Wells GN, Sluys LJ. A new method for modelling cohesive cracks using finite elements. International Journal for Numerical Methods in Engineering 2001; 50:2667-2682.
15. Zi G, Belytschko T. New crack-tip elements for XFEM and applications to cohesive cracks. International Journal for Numerical Methods in Engineering 2003; 57:2221-2240.
16. Nitsche J. Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1970; 36:9-15.