A cohesive approach to thin-shell fracture and fragmentation

Computer Methods in Applied Mechanics and Engineering

Volumn 194, Issue 21-24 SPEC. ISS., 2005, Pages 2604-2618

  Cirak, Fehmi ^a   Ortiz, Michael ^a   Pandolfi, Anna ^b  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^b POLITECNICO DI MILANO   (Italy)

Author keywords

Cohesive fracture; Finite elements; Petalling failure; Shells; Subdivision shape functions

Indexed keywords

COMPUTER SIMULATION; CRACK PROPAGATION; FAILURE ANALYSIS; FINITE ELEMENT METHOD; FRACTURE; STRUCTURAL ANALYSIS; THIN WALLED STRUCTURES;

COHESIVE LAW; CRACK BRANCHING; FRAGMENTATION; THIN SHELLS;

SHELLS (STRUCTURES);

SHELL;

EID: 16244389642     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2004.07.048     Document Type: Article

References (36)

1. I. Babuska M. Zlamal Nonconforming elements in the finite element method with penalty Siam J. Numer. Anal. 10 5 1973 863-875
2. N. Büchter E. Ramm Shell theory versus degeneration - a comparison in large rotation finite element analysis Int. J. Numer. Methods Engrg. 34 1992 39-59
3. N. Buchter E. Ramm D. Roehl 3-dimensional extension of nonlinear shell formulation based on the enhanced assumed strain concept Int. J. Numer. Methods Eng. 37 1994 2551-2568
4. G.T. Camacho M. Ortiz Computational modelling of impact damage in brittle materials Int. J. Solids Struct. 33 20-22 1996 2899-2938
5. 1-conforming subdivision elements for finite deformation thin-shell analysis Int. J. Numer. Methods Engrg. 51 2001 813-833
6. F. Cirak M. Ortiz P. Schröder Subdivision surfaces: A new paradigm for thin-shell finite-element analysis Int. J. Numer. Methods Eng. 47 12 2000 2039-2072
7. F. Cirak M.J. Scott E.K. Antonsson M. Ortiz P. Schröder Integrated modeling, finite-element analysis, and engineering design for thin-shell structure using subdivision Comput. Aided Des. 34 2002 137-148
8. P.E. Cros L. Rota C.E. Cottenot R. Schirrer C. Fond Experimental and numerical analysis of the impact behaviour of polycarbonate and polyurethane multilayer J. Phys. IV 10 P9 2000 671-676
9. A. Cuitino M. Ortiz A material-independent method for extending stress update algorithms from small-strain plasticity to finite plasticity with multiplicative kinematics Eng. Comput. 9 1992 437-451
10. R. de Borst The zero-normal-stress condition in plane-stress and shell elastoplasticity Int. J. Numer. Methods Engrg. 7 1991 29-33
11. A. Hansbo M.G. Larson A discontinuous galerkin method for the plate equation Calcolo 39 2002 41-59
12. Hibbitt, Karlsson&Sorrensen, Pawtucket, RI, Abaqus Theory Manual, 2002
13. D.I. Hyun S.M. Oak S.S. Kang Y.H. Moon Estimation of hole flangeability for high strength steel plates J. Mater. Proc. Technol. 130 SI 2002 9-13
14. B. Landkof W. Goldsmith Petalling of thin, metallic plates during penetration by cylindro-conical projectiles Int. J. Solids Struct. 21 3 1985 245-266
15. H. Lee D.M. Parks Line-spring finite element for fully plastic crack growth - ii. surface cracked plate and pipes Int. J. Solids Struct. 35 36 1998 5139-5158
16. C. Loop, Smooth subdivision surfaces based on triangles, Master's thesis, Department of Mathematics, University of Utah, 1987
17. A. Needleman A continuum model for void nucleation by inclusion debonding J. Appl. Mech. 54 1987 525-531
18. A. Needleman An analysis of decohesion along an imperfect interface Int. J. Fract. 42 1990 21-40
19. M. Ortiz A. Pandolfi A class of cohesive elements for the simulation of three-dimensional crack propagation Int. J. Numer. Methods Engrg. 44 1999 1267-1282
20. M. Ortiz S. Suresh Statistical properties of residual stresses and intergranular fracture in ceramic materials J. Appl. Mech. 60 1993 77-84
21. A. Pandolfi P. Krysl M. Ortiz Finite element simulation of ring expansion and fragmentation: The capturing of length and time scales through cohesive models of fracture Int. J. Fract. 95 1999 279-297
22. A. Pandolfi M. Ortiz Solid modeling aspects of three-dimensional fragmentation Engrg. Comput. 14 4 1998 287-308
23. A. Pandolfi M. Ortiz An efficient adaptive procedure for three-dimensional fragmentation simulations Engrg. Comput. 18 2 2002 148-159
24. D.M. Parks C.S. White Elastixc-plastic line-spring finite elements for surface-cracked plates and shells J. Pressure Ves. Technol. 104 4 1982 287-292
25. J.R. Rice N. Levy The part-through surface crack in an elastic plate J. Appl. Mech. 39 1 1972 185-194
26. W.Q. Shen A study on the failure of circular plates struck by masses. Part 2: Theoretical analysis for the onset of failure Int. J. Impact Eng. 27 4 2002 413-432
27. W.Q. Shen N.O. Rieve B. Baharun A study on the failure of circular plates struck by masses. Part 1: Experimental results Int. J. Impact Eng. 27 4 2002 399-412
28. J.C. Simo D.D. Fox On a stress resultant geometrically exact shell model. Part I: Formulation and optimal parameterization Comput. Methods Appl. Mech. Engrg. 72 1989 267-304
29. S. Timoshenko S. Woinowsky-Krieger Theory of Plates and Shells 1959 McGraw-Hill
30. V. Tvergaard J.W. Hutchinson Effect of strain dependent cohesive zone model on predictions of crack growth resistance Int. J. Solids Struct. 33 1996 3297-3308
31. J. Warren H. Weimer Subdivision Methods for Geometric Design: A Constructive Approach 2002 Academic Press
32. T. Wierzbicki Petalling of plates under explosive and impact loading Int. J. Impact Engrg. 22 9-10 1999 935-954
33. T. Wierzbicki G.N. Nurick Large deformation of thin plates under localised impulsive loading Int. J. Impact Engrg. 18 7-8 1996 899-918
34. S.C. Wright N.A. Fleck W.J. Stronge Ballistic impact of polycarbonate - an experimental investigation Int. J. Impact Eng. 13 1 1993 1-20
35. X-P. Xu A. Needleman Numerical simulations of fast crack growth in brittle solids J. Mech. Phys. Solids 42 9 1994 1397-1434
36. O.C. Zienkiewicz, R.L. Taylor, The Finite Element Method, vol. 1, McGraw-Hill, 1989