MPM simulation of dynamic material failure with a decohesion constitutive model

European Journal of Mechanics, A/Solids

Volumn 23, Issue 3, 2004, Pages 423-445

  Sulsky, D ^a   Schreyer, L ^b  

^a UNIVERSITY OF NEW MEXICO   (United States)

^b University of New Mexico   (United States)

Author keywords

Decohesion; Discrete constitutive model; Dynamic failure; Material point method; Sinusoidal pulse; Spall

Indexed keywords

BRITTLENESS; COMPUTER SIMULATION; DEFORMATION; ELASTICITY; FREE ENERGY; INTERFACES (MATERIALS); SPALLING;

DECOHESION; DISCRETE CONSTITUTIVE MODEL; DYNAMIC FAILURES; SINUSOIDAL PULSE;

FAILURE ANALYSIS;

EID: 2942511906     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechsol.2004.02.007     Document Type: Article

References (38)

1. Armero F. Large-scale modeling of localized dissipative mechanisms in a local continuum: applications to the numerical simulation of strain localization in rate-dependent inelastic solids. Mech. Cohesive-Frictional Mater. 4:1999;101-131.
2. Armero F. On the characterization of localized solutions in inelastic solids: an analysis of wave propagation in a softening bar. Comput. Methods Appl. Mech. Engrg. 191:2002;181-214.
3. 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. Int. J. Solids Structures. 33:(3-5):1996;2863-2885.
4. Barenblatt G.I. The formation of equilibrium cracks during brittle fracture; general ideas and hypotheses: axially symmetric cracks. J. Appl. Math. Mech. 23:1959;622-636.
5. Brara A., Camborde F., Klepaczko J.R., Mariotti C. Experimental and numerical study of concrete at high strain rates in tension. Mech. Mater. 33:2001;33-45.
6. Camacho G.T., Ortiz M. Computational modelling of impact damage in brittle materials. Int. J. Solids Structures. 33:(20-22):1996;2899-2938.
7. Clos R., Schreppel U., Zencker U., Rahmel T., Klenk K., Mayer U. Crack propagation and arrest study at stress pulse loading. Rossmanith H.P., Rosakis A.J. Dynamic Failure of Materials. 1991;Elsevier Applied Science, New York.
8. Corigliano A. Formulation, identification and use of interface models in the numerical analysis of composite delamination. Int. J. Solids Structures. 30:(20):1993;2779-2811.
9. Curran D.R., Seaman L., Shockey D.A. Dynamic failure of solids. Phys. Rep. 147:1987;253-388.
10. Dvorkin E., Cuitino A.M., Gioai G. Finite elements with displacement interpolated embedded localization lines insensitive to mesh size and distortions. Int. J. Numer. Methods Engrg. 30:1990;541-564.
11. Grady D.E., Kipp M.E. The micromechanics of impact fracture of rock. Int. J. Rock Mech. Min. Sci. & Geomech. Abstr. 16:1979;293-302.
12. Feenstra P.H., de Borst R., Rots J.G. Numerical study of crack dilatancy. I: Models and stability analysis. J. Engrg. Mech. 117:1991;733-753.
13. Feenstra P.H., de Borst R., Rots J.G. Numerical study of crack dilatancy. II: Applications. J. Engrg. Mech. 117:1991;754-769.
14. Hillerborg A., Modeer M., Petersson P.-E. Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cement and Concrete Res. 6:1976;773-782.
15. Johnson G.R., Holmquist T.J. A computational constitutive model for brittle materials subjected to large strains, high strain rates, and high pressures. Meyers E.A., Murr L.E., Staudhammer K.P. Shock-Wave and High-Strain Rate Phenomena in Materials. 1992;1075-1081 Marcel Dekker, New York.
16. Larsson R., Runesson K. Element-embedded localization band based on regularized displacement discontinuity. J. Engrg. Mech. 122:(5):1996;402-411.
17. Miehe C., Schröder J. Post-critical discontinuous localization analysis of small-strain softening elastoplastic solids. Arch. Appl. Mech. 64:1994;267-285.
18. Needleman A. A continuum model for void nucleation by inclusion debonding. J. Appl. Mech. 54:1987;525-531.
19. Oliver J. Modelling strong discontinuities in solid mechanics via strain softening constitutive equations. Part 1: Fundamentals. Int. J. Numer. Methods Engrg. 39:1996;3575-3600.
20. Oliver J. Modelling strong discontinuities in solid mechanics via strain Softening constitutive equations. Part 2: Numerical simulations. Int. J. Numer. Methods Engrg. 39:1996;3601-3623.
21. Oliver J. On the discrete constitutive models induced by strong discontinuity kinematics and continuum constitutive equations. Int. J. Solids Structures. 37:(48-50):2000;7207-7230.
22. Ortiz M., Pandolfi A. A class of cohesive elements for the simulation of three-dimensional crack propagation. Int. J. Numer. Methods Engrg. 44:1999;1267-1282.
23. Pandolfi A., Guduru P.R., Ortiz M., Rosakis A.J. Three dimensional cohesive-element analysis and experiments of dynamic fracture in C300 steel. Int. J. Solids Structures. 37:2000;3733-3760.
24. Planas J., Elices M., Guinea G.V. The extended cohesive crack. Baker G., Karihaloo B.L. Fracture of Brittle Disordered Materials: Concrete, Rock and Ceramics. 1995;51-65 E&FN Spon, London.
25. Rajendran A.M. Modeling the impact behaviour of AD85 ceramic under multiaxial loading. Int. J. Impact Engrg. 15:1994;749-768.
26. Reedy E.D. Jr., Mello F.J., Guess T.R. Modelling the initiation and growth of delaminations in composite structures. J. Composite Structures. 31:1997;812-831.
27. Schreyer H.L., Sulsky D.L., Zhou S.-J. Modeling delamination as a strong discontinuity with the material point method. Comput. Methods Appl. Mech. Engrg. 191:2002;2483-2507.
28. Seaman L., Curran D.R., Murri W.J. A Continuum model for dynamic tensile microfracture and fragmentation. J. Appl. Mech. 52:1985;593-600.
29. Shockey D.A., Curran D.R., Seaman L., Rosenberg J.T., Petersen C.F. Fragmentation of rock under dynamic loads. Int. J. Rock Mechs. Sci & Geomech. Abstr. 11:1974;303-317.
30. Simo J.C., Oliver J., Armero F. An analysis of strong discontinuities induced by strain-softening in rate-independent solids. Comput. Mech. 12:1993;277-296.
31. Simo J.C., Oliver J. A new approach to the analysis and simulation of strain-softening in solids. Bazant Z.P., et al. Fracture and Damage in Quasi-Brittle Materials. 1994;. Workshop held in Prague.
32. Sulsky D., Chen Z., Schreyer H.L. A particle method for history-dependent materials. Comput. Methods in Appl. Mech. Engrg. 118:1994;179-196.
33. Sulsky D., Schreyer H.L. Axisymmetric form of the material point method with applications to upsetting and Taylor impact problems. Comput. Methods Appl. Mech. Engrg. 139:(1-4):1996;409-429.
34. Sulsky D., Zhou S.-J., Schreyer H.L. Application of a particle-in-cell method to solid mechanics. Comput. Phys. Commun. 87:(1&2):1995;236-252.
35. Walter, J., (Ed.), 1992. Material modeling for terminal ballistic simulation, Technical Report BRL-TR-3392, US Army Ballistic Research Laboratory, Maryland.
36. Wells G.N., Sluys L.J. Application of embedded discontinuities for softening solids. Engrg. Fracture Mech. 65:2000;263-281.
37. Wells G.N., Sluys L.J. Three-dimensional embedded discontinuity model for brittle fracture. Int. J. Solids Structures. 38:(5):2000;897-913.
38. Zukas J.A. Impact Dynamics. 1982;Wiley, New York.