Finite element modelling of cracked inelastic shells with large deflections: Two-dimensional and three-dimensional approaches

Fatigue and Fracture of Engineering Materials and Structures

Volumn 23, Issue 3, 2000, Pages 253-261

  Skallerud, Bjørn ^b   Zhang, Z L ^a  

^a SINTEF   (Norway)

^b NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

BENDING MOMENTS; COMPUTER SIMULATION; CRACK PROPAGATION; DUCTILE FRACTURE; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; PLASTICITY; RESIDUAL STRESSES;

INELASTIC SHELLS; MINDLIN SHELL FINITE ELEMENTS;

SHELLS (STRUCTURES);

EID: 0034430414     PISSN: 8756758X     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1460-2695.2000.00273.x     Document Type: Article

References (27)

1. J. Rice (1968) A path independent integral and the approximate analysis of strain concentration by notches and cracks. J. Appl. Mech. 35, 379-386.
2. A. H. Cottrell (1961) Theoretical aspects of radiation damage and brittle fracture in steel pressure vessels. Iron Steel Inst. Spec. Rep. 69, 281-296.
3. A. A. Wells (1961) Unstable crack propagation in metals: cleavage and fast fracture. Proc. Crack Prop. Symposium, Vol. 1, Cranfield, pp. 210-230.
4. C. Betegon and J. W. Hancock (1991) Two-parameter characterization of elastic plastic crack-tip fields. J. Appl. Mech. 58, 104-110.
5. N. P. O'Dowd and C. F. Shih (1992) Family of crack-tip fields characterized by a triaxiality parameter - II. Fracture Applications. J. Mech. Phys Solids 40, 989-1016.
6. D. M. Parks (1992) Advances in characterization of elastic-plastic crack tip fields. In: Topics in Fracture and Fatigue (Edited by A. S. Argon), Springer, New York, USA.
7. M. Kirk and A. Bakker (1995) Constraint Effects in Fracture and Application - Vol. 2, ASTM STP 1244, Philadelphia.
8. J. Rice and N. Levy (1972) The part through surface crack in an elastic plate. J. Applied Mech. March, 185-194.
9. D. M. Parks and C. S. White (1982) Elastic-plastic line spring finite elements for surface cracked plates and shells. J. Press. Vessels Tech. 104, 287-292.
10. H. Lee and D. M. Parks (1995) Enhanced elastic-plastic line spring finite element. Int. J. Solids Structures 32, 2393-2418.
11. H. Lee and D. M. Parks (1993) Fully plastic analyses of plane strain single edge cracked specimens subject to combined tension and bending. Int. J. Fracture 63, 329-349.
12. B. Skallerud (1996) A mixed mode I/II inelastic line spring. Int. J. Solids Structures 33, 4143-4166.
13. H. Lee and D. M. Parks (1997) Ductile tearing line spring. Int. J. Solids Structures 35, 5115-5138.
14. B. Skallerud (1995) Inelastic line springs in nonlinear analysis of cracked tubular joints. Fatigue Fract. Engng Mater. Struct. 18, 463-477.
15. B. Skallerud (1999) Numerical analysis of cracked inelastic shells with large displacements or mixed mode loading. Int. J. Solids Structures 36, 2259-2283.
16. A. L. Gurson (1977) Continuum theory of ductile rupture by void nucleation and growth: Part I - yield criteria and flow rules for porous ductile media. J. Engng Mater. Tech. 99, 2-15.
17. V. Tvergaard (1981) Influence of voids on shear band instabilities under plane strain conditions. Int. J. Fracture 17, 389-407.
18. P. F. Thomason (1989) Ductile Fracture of Metals, Pergamon Press, Oxford, UK.
19. Z. L. Zhang and E. Niemi (1995) A new failure criterion for the Gurson-Tvergaard dilatational constitutive model. Int. J. Fracture 70, 321-334.
20. Z. L. Zhang (1998) A complete Gurson model. In Nonlinear Fracture and Damage Mechanics (Edited by M. H. Aliabadi), Computational Mechanics Publications, Swansea, UK.
21. B. Skallerud and Z. L. Zhang (1999) Effects of finite element mesh on the numerical prediction of ductile tearing. Symposium Fatigue and Fracture, ASTM STP 1332, Stanford, p. 29.
22. D. Rabben (1995) Nonlinear analysis of ductile fracture of welded T-connections using micromechanical damage modelling. MSc thesis, Div. Marine Struct., Norwegian University of Science and Techn., Norway.
23. Z. L. Zhang (1995) Explicit consistent tangent moduli with a return mapping algorithm for pressure-dependent elastoplasticity models. Comput. Meths. Appl. Mech. Engng 121, 29-44.
24. J. Rice (1972) The line spring model for surface flaws. In: The Surface Crack: Physical Problems and Computational Solutions (Edited by J. L. Swedlow), ASME, New York, USA, pp. 171-185.
25. A. P. Green and B. B. Hundy (1956) Initial plastic yielding in notch bend tests. J. Mech. Phys. Solids 4, 128-144.
26. C. S. White, R. O. Ritchie and D. M. Parks (1983) Ductile growth of part-through surface cracks: experiment and analysis. ASTM STP 803 (Edited by C. F. Shih and J. P. Gudas). ASTM, Pennsylvania, USA, pp. I384-I409.
27. (1998) ABAQUS Theory Manual, Hibbitt, Karlsson and Sorensen, Pawtucket, RI, USA.