Time-dependent cohesive zone modelling for discrete fracture simulation

Engineering Fracture Mechanics

Volumn 77, Issue 1, 2010, Pages 153-169

  Geißler, Gordon ^a   Kaliske, Michael ^a  

^a DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Cohesive zone modelling; Delamination; Finite element analysis; Fracture mechanics; Rate dependency; Viscoelasticity

Indexed keywords

CRACK TIPS; DELAMINATION; FRACTURE MECHANICS; VISCOELASTICITY;

COHESIVE FINITE ELEMENT METHODS; COHESIVE ZONE MODELLING; COMPACT REPRESENTATION; FINITE ELEMENT FORMULATIONS; RATE DEPENDENCY; RHEOLOGICAL MODELING; TIME DEPENDENT FRACTURE; TIME-DEPENDENT CHARACTERISTICS;

FINITE ELEMENT METHOD;

EID: 72049087213     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2009.09.013     Document Type: Article

References (26)

1. Dugdale D.S. Yielding of steel sheets containing slits. J Mech Phys Solids 8 (1960) 100-104
2. Barenblatt G.I. The mathematical theory of equilibrium cracks in brittle fracture. Adv Appl Mech 7 (1962) 55-129
3. Hillerborg A., Modeer M., and Petersson P.E. Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cem Concr Res 6 (1976) 773-781
4. Needleman A. A continuum model for void nucleation by inclusion debonding. J Appl Mech 54 (1987) 525-531
5. Tvergaard V. Effect of fibre debonding in a whisker-reinforced metal. Mater Sci Engng A 125 (1990) 203-213
6. Ortiz M., and Pandolfi A. Finite-deformation irreversible cohesive elements for three-dimensional crack-propagation analysis. Int J Numer Methods Engng 44 (1999) 1267-1282
7. Falk M.L., Needleman A., and Rice J.R. A critical evaluation of dynamic fracture simulations using cohesive surfaces. J Phys IV 4 (2001) 1-8
8. Schellekens J., and de Borst R. On the numerical integration of interface elements. Int J Numer Methods Engng 36 (1993) 43-66
9. Kubair D.V., and Geubelle P.H. Comparative analysis of extrinsic and intrinsic cohesive models of dynamic fracture. Int J Solids Struct 40 (2003) 3853-3868
10. Tomar V., Zhai J., and Zhou M. Bounds for element size in a variable stiffness cohesive finite element model. Int J Numer Methods Engng 61 (2004) 1894-1920
11. Carpinteri A. Post-peak and post-bifurcation analysis of cohesive crack propagation. Engng Fract Mech 32 (1989) 265-278
12. Carpinteri A. Softening and snap-back instability in cohesive solids. Int J Numer Methods Engng 28 (1989) 1521-1537
13. Carpinteri A. Cusp catastrophe interpretation of fracture instability. J Mech Phys Solids 37 (1989) 567-582
14. Chaboche J.L., Feyel F., and Monerie Y. Interface debonding models: a viscous regularization with a limited rate dependency. Int J Solids Struct 38 (2001) 3127-3160
15. Gao Y.F., and Bower A.F. A simple technique for avoiding convergence problems in finite element simulations of crack nucleation and growth on cohesive interfaces. Model Simul Mater Sci Engng 12 (2004) 453-463
16. Tvergaard V. Micromechanical modelling of fibre debonding in a metal reinforced by short fibres. In: Proceedings of the IUTAM symposium on inelastic deformation of composite materials; 1990.
17. Mi Y., Crisfield M.A., Davies G.A.O., and Hellweg H.B. Progressive delamination using interface elements. J Compos Mater 32 (1998) 1246-1272
18. Alfano G., and Crisfield M.A. Solution strategies for the delamination analysis based on a combination of local-control arc-length and line searches. Int J Numer Methods Engng 58 (2003) 999-1048
19. Rahul-Kumar P., Jagota A., Bennison S.J., Saigal S., and Muralidhar S. Polymer interfacial fracture simulations using cohesive elements. Acta Mater 47 (1999) 4161-4169
20. Geißler G., Kaliske M., Grellman W., and Nase M. Peel process simulation of sealed polymeric film: computational modelling of experimental results. Engng Comput 24 (2007) 586-607
21. Corigliano A., and Ricci M. Rate-dependent interface models: formulation and numerical applications. Int J Solids Struct 38 (2001) 547-576
22. Corigliano A., and Mariani S. Parameter identification of a time-dependent elastic-damage interface model for the simulation of debonding in composites. Compos Sci Technol 61 (2001) 191-203
23. Corigliano A., Mariani S., and Pandolfi A. Numerical modeling of rate-dependent debonding processes in composites. Compos Struct 61 (2003) 39-50
24. Kaliske M., and Rothert H. Formulation and implementation of three-dimensional viscoelasticity at small and finite strains. Comput Mech 19 (1997) 228-239
25. Kaliske M. Zur Theorie und Numerik von Polymerstrukturen unter statischen und dynamischen Einwirkungen, PhD Thesis, Institut für Statik, Universität Hannover; Oktober 1995.
26. Nase M., Langer B., Baumann H.-J., Grellmann W., Geiler G., and Kaliske M. Evaluation and simulation of the peel behavior of polyethylene/polybutene-1 peel systems. J Appl Polym Sci 111 (2008) 363-370