Aspects of ductile fracture and adaptive mesh refinement in damaged elasto-plastic materials

International Journal for Numerical Methods in Engineering

Volumn 50, Issue 1, 2000, Pages 29-54

  Vaz Jr , Miguel ^b   Owen, D R J ^a  

^a SWANSEA UNIVERSITY   (United Kingdom)

^b SANTA CATARINA STATE UNIVERSITY   (Brazil)

Author keywords

Adaptive refinement; Damage mechanics; Ductile fracture; Stress update

Indexed keywords

ADAPTIVE MESH REFINEMENT; ELASTO PLASTIC MATERIALS; FAILURE PREDICTION TECHNIQUE; MULTIFRACTURING MATERIALS;

ALGORITHMS; COMPUTER SIMULATION; CONTINUUM MECHANICS; DUCTILE FRACTURE; ELASTOPLASTICITY; FAILURE ANALYSIS; FRACTURE; ITERATIVE METHODS; STRESS ANALYSIS;

NUMERICAL METHODS;

EID: 0035124687     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/1097-0207(20010110)50:1<29::AID-NME18>3.0.CO;2-G     Document Type: Article

References (53)

1. Freudenthal AM. The Inelastic Behaviour of Engineering Materials and Structures. Wiley: New York, 1950.
2. Kachanov LM. Time to the rupture process under the creep conditions. Ivzkestiya Akademii Nauk. SSR, Otdel Technicheskikh Nauk 1958; 8:21-31.
3. Clift SE, Hartley P, Sturgess CEN, Rowe GW. Fracture prediction in plastic deformation process. International Journal of Mechanical Sciences 1990; 32:1-17.
4. Cescotto S, Zhu, YY. Modelling of ductile fracture initiation during bulk forming. In Computational Plasticity - Fundamentals and Applications, Owen DRJ, Oñate E (eds). Pineridge Press: Swansea, 1995; 987-998.
5. Gouveia BPPA, Rodrigues JMC, Martins PAF. Fracture predicting in bulk metal forming. International Journal of Mechanical Sciences 1996; 38:361-372.
6. Lemaître J. A continuous damage mechanics model for ductile fracture. Journal of Engineering Materials Technology Transactions of ASME 1985; 107:83-89.
7. Lemaître J. Coupled elasto-plasticity and damage constitutive equations. Computer Methods in Applied Mechanics and Engineering 1985; 51:31-49.
8. De Souza Neto EA, Perić D, Owen DRJ. A model for elastoplastic damage at finite strains: algorithmic issues and applications. Engineering Computations 1994; 11:257-281.
9. Brozzo P, Deluca B, Rendina RA. A new method for the prediction of the formability limits of metal sheets. Proceedings of 7th Biennial Conference on International Deep Drawing Research Group, 1972.
10. Norris DM, Reaugh JE, Moran B, Quiñones DF. A plastic-strain, mean-stress criterion for ductile fracture. Journal of Engineering Materials Technology, Transactions of ASME 1978; 100:279-286.
11. Atkins AG. Possible explanation for unexpected departures in hydrostatic tension-fracture strain relations. Metal Science 1981; 15:81-83.
12. Rice JR, Tracey DM. On the ductile enlargement of voids in triaxial stress fields. Journal of Mechanics and Physics of Solids 1969; 17:201-217.
13. Gosh AK. A criterion for ductile fracture in sheets under biaxial loading. Metallurgical Transactions A 1976; 7A: 523-533.
14. McClintock FA. A criterion for ductile fracture by growth of holes. Journal of Applied Mechanics 1968; 35:363-371.
15. Oyane M, Shima S, Tabata T. Considerations of basic equations, and their application in the forming of metal powders and porous metals. Journal of Mechanical Working Technology 1978; 1:325-341.
16. Tai W, Yang BX. A new damage mechanics criterion for ductile fracture. Engineering Fracture Mechanics 1987; 27:371-378.
17. Murakami S. Role of continuum damage mechanics in fracture analysis. In Inelastic Solids and Structures, Kleiber M, König JA (eds). Pineridge Press: Swansea, 1990; 67-80.
18. François D. Fracture and Damage. In Elasto-Plastic Fracture Mechanics, Larsson LH (ed.). D.Reidel Publishing Co: Brussels, 1985; 1-11.
19. Benallal A, Billardon R, Doghri I. Numerical aspects of the damage and failure analysis of engineering structures. In Computational Plasticity: Models Software and Applications, Owen DRJ, Hinton E, Oñate E (eds), vol. 1. Pineridge Press: Swansea, 1989; 297-309.
20. Min JB, Tworzydlo WW, Xiques KE. Adaptive finite element methods for continuum damage modeling. Computers and Structures 1995; 58:887-900.
21. Lemaître J. How to use damage mechanics. Nuclear Engineering Design 1984; 80:233-245.
22. Lemaître J. Local approach of fracture. Engineering Fracture Mechanics 1986; 25:523-537.
23. Cockcroft MG, Latham DJ. Ductility and Workability of Metals. Journal of the Institute of Metals 1968; 96:33-39.
24. Atkins AG, Mai Y-W. Elastic and Plastic Fracture. Ellis Horwood Ltd.: Chichester, 1985.
25. Mudry F. Methodology and application of local criteria for prediction of ductile tearing. In Elasto-Plastic Fracture Mechanics, Larsson LH (ed.) D. Reidel Publishing Co: Brussels, 1985; 1-11.
26. Hancock JW, Mackenzie AC. On the mechanisms of ductile fracture in high-strength steels subjected to multi-axial stress-states. Journal of Mechanics and Physics of Solids 1976; 24:147-169.
27. Owen DRJ, Vaz Jr., M. Computational techniques applied to high-speed machining under adiabatic strain localization conditions. Computer Methods in Applied Mechanics and Engineering 1999; 171:445-461.
28. Simo JC, Hughes TJR. General return mapping algorithms for rate-independent plasticity. In Constitutive Laws for Engineering Materials: Theory and Applications, Desai CS et al. (ed.). Elsevier: Amsterdam 1987; 221-231.
29. Steinmann P, Miehe C, Stein E. Comparison of different finite deformation inelastic damage models within multiplicative elastoplasticity for ductile materials. Computational Mechanics 1994; 13:458-474.
30. Babuska I, Rheinboldt WC. Error estimates for adaptive finite element computations. SIAM Journal on Numerical Analysis 1978; 15:736-754.
31. Babuska I, Rheinboldt WC. A posteriori error estimates for the finite element method. International Journal for Numerical Methods in Engineering 1978; 12:1597-1615.
32. Zienkiewicz OC, Liu YC, Huang GC. Error estimation and adaptivity in flow formulation for forming problems. International Journal for Numerical Methods in Engineering 1988; 25:23-42.
33. Zienkiewicz OC, Huang GC. A note on localization phenomena and adaptive finite-element analysis in forming processes. Communications in Applied Numerical Methods 1990; 6:71-76.
34. Fourment L, Chenot JL. Error Estimators for viscoplastic materials: application to forming processes. Engineering Computations 1995; 12:469-490.
35. Moal A, Massoni E. Finite element simulation of the inertia welding of two similar parts. Engineering Computations 1995; 12:497-512.
36. Perić D, Yu J, Owen DRJ. On error estimates and adaptivity in elastoplastic solids: application to the numerical simulation of localization in classical and cosserat continua. International Journal for Numerical Methods in Engineering 1994; 37:1351-1379.
37. Lee NS, Bathe KJ. Error indicators and adaptive remeshing in large deformation finite element analysis. Finite Elements Analysis Design 1994; 16:99-139.
38. Vaz Jr M, Dutko M, Owen DRJ. Adaptive strategy for ductile fracture analysis in damaged elastoplastic solids. In Computational Mechanics: New Trends and Applications. CD ROM Proceedings of the 4th WCCM, Idelson SR, Oñate E, Dvorkin EN (eds). CIMNE: Barcelona, Spain, 1998.
39. Ortiz M, Quigley IV JJ. Adaptive mesh refinement in strain localization problems. Computer Methods in Applied Mechanics and Engineering 1991; 90:781-804.
40. Johnson C, Hansbo P. Adaptive finite element methods in computational mechanics. Computer Methods in Applied Mechanics and Engineering 1992; 101:143-181.
41. Li LY, Bettess P, Applegarth I, Bull JW, Bond TJ. A new mesh refinement formulation for h-Adaptative finite element computations. In Computational Plasticity: Theory and Applications, Owen DRJ, Oñate E, Hinton E. (eds), vol. 1. Pineridge Press: Swansea, 1995; 444-454.
42. Gallimard L, Ladevèze P, Pelle JP. Error estimation and adaptivity in elastoplasticity. International Journal for Numerical Methods in Engineering 1996; 39:189-217.
43. Barthold F-J, Schmidt M, Stein E. Error estimation mesh adaptivity for elasto-plastic deformations. In Computational Plasticity: Theory and Applications, Owen DRJ, Oñate E, Hinton E (eds), vol. 1. CIMNE: Barcelona, 1997; 597-602.
44. Dutko M, Perić D, Owen DRJ, Wei Z, Yu J. Bulk forming simulation by adaptive explicit FEM. In Computational Plasticity: Theory and Applications, Owen DRJ, Oñate E, Hinton E. (eds), vol. 2. CIMNE: Barcelona, 1997; 1305-1312.
45. Gillemot LF. Criterion of crack initiation and spreading. Engineering Fracture Mechanics 1976; 8:239-253.
46. Munjiza A, Owen DRJ, Bićanić N. A combined finite-discrete element method in transient dynamics of fracturing solids. Engineering Computations 1995; 12:145-174.
47. Perić D, Vaz Jr. M, Owen DRJ. On adaptive strategies for large deformations of elasto-plastic solids at finite strains: computational issues and industrial applications. Computer Methods in Applied Mechanics and Engineering 1999; 176:279-312.
48. Vaz Jr M. Computational approaches to simulation of metal cutting processes. Ph.D. Thesis, University of Wales Swansea, Swansea, 1998.
49. Dodd B, Bai Y. Ductile Fracture and Ductility. Academic Press: London, 1987.
50. Bai Y, Dodd B. Adiabatic Shear Localization. Pergamon Press: Oxford, 1992.
51. Bai Y, Xue Q, Xu Y, Shen L. Characteristics and microstructure in the evolution of shear localization in Ti-6Al-4V alloy. Mechanics of Materials 1994; 17:155-164.
52. McClintock FA, Kaplan SM, Berg CA. Ductile fracture by hole growth in shear bands. International Journal of Fracture Mechanics 1996; 2:614-627.
53. Vaz Jr M, Owen DRJ. Thermo-mechanical coupling and large-scale elasto-plastic problems. In Application of Numerical Methods in Engineering, Basri S, Samad AAA, Hamouda AM (eds). UPM Press: Serdang, Malaysia, 1997; 377-388.