Numerical modelling and experimental validation of dynamic fracture events along weak planes

Computer Methods in Applied Mechanics and Engineering

Volumn 196, Issue 37-40 SPEC. ISS., 2007, Pages 3833-3840

  Arias, Irene ^a,b   Knap, Jaroslaw ^b,c   Chalivendra, Vijaya B ^b,d   Hong, Soonsung ^a,b   Ortiz, Michael ^a,b   Rosakis, Ares J ^a,b  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^b UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^c LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

^d University of Massachusetts Dartmouth   (United States)

Author keywords

Cohesive zone model; Dynamic fracture; Hopkinson bar; Inverse problem; Large scale simulations; Photoelasticity; Validation; Verification

Indexed keywords

COMPUTER SIMULATION; FINITE ELEMENT METHOD; INTEGRATION; INVERSE PROBLEMS; PHOTOELASTICITY;

COHESIVE ZONE MODEL; DYNAMIC FRACTURE; HOPKINSON BAR;

FRACTURE MECHANICS;

COMPUTER SIMULATION; FINITE ELEMENT METHOD; FRACTURE MECHANICS; INTEGRATION; INVERSE PROBLEMS; PHOTOELASTICITY;

EID: 34447101012     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2006.10.052     Document Type: Article

References (37)

1. Areias P.M.A., and Belytschko T. Analysis of three-dimensional crack initiation and propagation using the extended finite element method. Int. J. Numer. Meth. Engrg. 63 5 (2005) 760-788
2. Arias I., Serebrinsky S., and Ortiz M. A phenomenological cohesive model of ferroelectric fatigue. Acta Mater. 54 4 (2006) 975-984
3. Barenblatt G.I. The mathematical theory of equilibrium cracks in brittle fracture. Adv. Appl. Mech. 7 (1962) 55-129
4. Bjerke T.W., and Lambros J. Theoretical development and experimental validation of a thermally dissipative cohesive zone model for dynamic fracture of amorphous polymers. J. Mech. Phys. Solids 51 6 (2003) 1147-1170
5. Camacho G.T., and Ortiz M. Computational modelling of impact damage in brittle materials. Int. J. Numer. Meth. Engrg. 33 20-22 (1996) 2899-2938
6. V.B. Chalivendra, S. Hong, J. Knap, I. Arias, M. Ortiz, J.R.A, Experimental validation of large scale simulations of dynamic fracture along weak planes. Submitted, 2005.
7. Dally J.W., and Shukla A. Energy loss in homalite 100 during crack propagation and arrest. Engrg. Fract. Mech. 13 4 (1980) 807-817
8. Dugdale D.S. Yielding of steel sheets containing slits. J. Mech. Phys. Solids 8 2 (1960) 100-104
9. Espinosa H.D., Dwivedi S., and Lu H.C. Modeling impact induced delamination of woven fiber reinforced composites with contact/cohesive laws. Comp. Methods Appl. Mech. Engrg. 183 3-4 (2000) 259-290
10. Foulk J.W., Allen D.H., and Helms K.L.E. Formulation of a three-dimensional cohesive zone model for application to a finite element algorithm. Comp. Methods Appl. Mech. Engrg. 183 1-2 (2000) 51-66
11. Hao S., Liu W.K., Klein P.A., and Rosakis A.J. Modeling and simulation of intersonic crack growth. Int. J. Sol. Struct. 41 7 (2004) 1773-1799
12. Hong S., and Kim K.S. Extraction of cohesive-zone laws from elastic far-fields of a cohesive crack tip: a field projection method. J. Mech. Phys. Solids 51 7 (2003) 1267-1286
13. S.Hong, K.S. Kim, Experimental measurement of crack-tip cohesive-zone laws of crazing in glassy polymers, J. Mech. Phys. Solids, submitted, 2005.
14. Jin Z.H., Paulino G.H., and Dodds R.H. Finite element investigation of quasi-static crack growth in functionally graded materials using a novel cohesive zone fracture model. J. Appl. Mech. - Trans. ASME 69 3 (2002) 370-379
15. J. Knap, M. Ortiz, TBD. In preparation, 2005.
16. Li S., Thouless M.D., Waas A.M., Schroeder J.A., and Zavattieri P.D. Use of a cohesive-zone model to analyze the fracture of a fiber-reinforced polymer-matrix composite. Compos. Sci. Technol. 65 3-4 (2005) 537-549
17. Moës N., Dolbow J., and Belytschko T. A finite element method for crack growth without remeshing. Int. J. Numer. Meth. Engrg. 46 1 (1999) 131-150
18. Mohammed I., and Liechti K.M. Cohesive zone modeling of crack nucleation at bimaterial corners. J. Mech. Phys. Solids 48 4 (2000) 735-764
19. J.F. Molinari, G. Gazonas, R. Raghupathy, A. Rusinek, F. Zhou, The cohesive element approach to dynamic fragmentation: The question of energy convergence, Int. J. Numer. Meth. Eng. In Press, 2006.
20. Needleman A. A continuum model for void nucleation by inclusion debonding. J. Appl. Mech. - Trans. ASME 54 3 (1987) 525-531
21. Needleman A. An analysis of decohesion along an imperfect interface. Int. J. Fract. 42 1 (1990) 21-40
22. Nguyen O., Repetto E.A., Ortiz M., and Radovitzky R.A. A cohesive model of fatigue crack growth. Int. J. Fract. 110 4 (2001) 351-369
23. Ortiz M., and Pandolfi A. Finite-deformation irreversible cohesive elements for three-dimensional crack-propagation analysis. Int. J. Numer. Meth. Engrg. 44 9 (1999) 1267-1282
24. Pandolfi A., Guduru P.R., Ortiz M., and Rosakis A.J. Three dimensional cohesive-element analysis and experiments of dynamic fracture in c300 steel. Int. J. Sol. Struct. 37 27 (2000) 3733-3760
25. Papoulia K.D., Vavasis S.A., and Ganguly P. Spatial convergence of crack nucleation using a cohesive finite-element model on a pinwheel-based mesh. Int. J. Numer. Meth. Engrg. 67 (2006) 1-16
26. Rahulkumar P., Jagota A., Bennison S.J., and Saigal S. Cohesive element modeling of viscoelastic fracture: application to peel testing of polymers. Int. J. Sol. Struct. 37 13 (2000) 1873-1897
27. Rosakis A.J. Intersonic shear cracks and fault ruptures. Adv. Phys. 51 4 (2002) 1189-1257
28. Rosakis A.J., Samudrala O., and Coker D. Cracks faster than the shear wave speed. Science 284 5418 (1999) 1337-1340
29. Ruiz G., Ortiz M., and Pandolfi A. Three-dimensional finite-element simulation of the dynamic brazilian tests on concrete cylinders. Int. J. Numer. Meth. Engrg. 48 7 (2000) 963-994
30. Ruiz G., Pandolfi A., and Ortiz M. Three-dimensional cohesive modeling of dynamic mixed-mode fracture. Int. J. Numer. Meth. Engrg. 52 1-2 (2001) 97-120
31. Serebrinsky S., and Ortiz M. A hysteretic cohesive-law models of fatigue-crack nucleation. Scripta Mater. 53 10 (2005) 1193-1196
32. Siegmund T., and Brocks W. A numerical study on the correlation between the work of separation and the dissipation rate in ductile fracture. Engrg. Fract. Mech. 67 2 (2000) 139-154
33. Xu L.R., Huang Y.G.Y., and Rosakis A.J. Dynamic crack deflection and penetration at interfaces in homogeneous materials: experimental studies and model predictions. J. Mech. Phys. Solids 51 3 (2003) 461-486
34. Xu X.P., and Needleman A. Void nucleation by inclusion debonding in a crystal matrix. Model. Simulat. Mater. Sci. Engrg. 1 2 (1993) 111-132
35. Xu X.P., and Needleman A. Numerical simulations of fast crack-growth in brittle solids. J. Mech. Phys. Solids 42 9 (1994) 1397-1434
36. Yang B., Mall S., and Ravi-Chandar K. A cohesive zone model for fatigue crack growth in quasibrittle materials. Int. J. Sol. Struct. 38 22-23 (2001) 3927-3944
37. Zhang Z.Y.J., and Paulino G.H. Cohesive zone modeling of dynamic failure in homogeneous and functionally graded materials. Int. J. Plast. 21 6 (2005) 1195-1254