Theoretical study of void closure in nonlinear plastic materials

Applied Mathematics and Mechanics (English Edition)

Volumn 30, Issue 5, 2009, Pages 631-642

  Zhang, Xiao Xun ^a   Cui, Zhen Shan ^a  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

CAE; Mesomechanics; RVE; Stress triaxiality; Void closure

Indexed keywords

CAE; MESOMECHANICS; RVE; STRESS TRIAXIALITY; VOID CLOSURE;

CRACKS; DEFORMATION; PROCESS ENGINEERING; VOLUME MEASUREMENT;

PLASTICS;

EID: 67449138041     PISSN: 02534827     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10483-009-0509-7     Document Type: Article

References (41)

1. S. P. Dudra Y. T. Im 1990 Analysis of void closure in open-die forging Int. J. Mach. Tools Manufact. 30 1 65 75 (Pubitemid 20735622)
2. A. Wallerö 1985 Closing of a central longitudinal pore in hot rolling J. Mech. Work Technol. 12 2 233 242
3. H. Keife U. Ståhlberg 1980 Influence of pressure on the closure of voids during plastic deformation J. Mech. Work. Technol. 4 133 143
4. U. Ståhlberg H. Keife M. Lundberg A. Melander 1980 A study of void closure during plastic deformation J. Mech. Work. Technol. 4 51 63
5. U. Ståhlberg 1986 Influence of spread and stress on the closure of a central longitudinal hole in the hot rolling of steel J. Mech. Work. Technol. 13 1 65 81
6. M. Tanaka S. Ono M. Tsuneno 1986 Factors contributing to crushing of voids during forging J. Jpn. Soci. Technol. Plast. 27 306 852 859
7. M. Tanaka S. Ono M. Tsuneno 1987 A numerical analysis on void crushing during side compression of round bar by flat dies J. Jpn. Soci. Technol. Plast. 28 238 244
8. M. Tanaka S. Ono M. Tsuneno T. Ivadate 1987 An analysis of void crushing during flat die free forging Proceedings of the 2nd International Conference on Technology of Plasticity (ICTP) 2 1035 1042
9. C. Y. Park D. Y. Yang 1997 Modelling of void crushing for large-ingot hot forging J. Mater. Process. Technol. 67 195 200 (Pubitemid 127376774) (Pubitemid 127376774)
10. M. Pietrzyk R. Kawalla H. Pircher 1995 Simulation of the behavior of voids in steel plates during hot rolling Steel Res. 66 12 526 529
11. Z. Cui G. Ren B. Xu C. Xu G. Liu 2003 Void closing conditions for solid cylinders during hot forging (in Chinese) J. Tsinghua Univ. 43 2 227 229
12. A. Wang P. F. Thomson P. D. Hodgson 1996 A study of pore closure and welding in hot rolling process J. Mater. Process. Technol. 60 95 102 (Pubitemid 126383263) (Pubitemid 126383263)
13. Chaaban, M. A. and Alexander, J. M. A study of the closure of cavities in swing forging. Proceedings of the 17th International Machine and Tool Design Research Conference (ed. Tobias, S. A.), Birmingham, UK, 633-645 (1976) (Pubitemid 8563984)
14. M. Nakasaki I. Takasu H. Utsunomiya 2006 Application of hydrostatic integration parameter for free-forging and rolling J. Mater. Process. Technol. 177 521 524 (Pubitemid 44038280) (Pubitemid 44038280)
15. F. A. [tmp] McClintock 1968 A criterion for ductile fracture by growth of holes J. Appl. Mech. 35 363 371
16. J. R. Rice D. M. Tracey 1969 On the ductile enlargement of voids in triaxial stress fields J. Mech. Phys. Solids 17 201 217
17. 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. Eng. Mater. Technol. 99 2 15
18. O. P. Søik C. Thaulow 1997 Growth of spheroidal voids in elastic-plastic solids Fatigue Fract. Engng. Mater. Struct. 20 12 1731 1744 (Pubitemid 127556595) (Pubitemid 127556595)
19. Budiansky, B., Hutchinson, J. W., and Slutsky, S. Void growth and collapse in viscous solids. Mechanics of Solids (eds. Hopkins, H. G. and Sewell, M. J.), Pergamon Press, Oxford, 13-45 (1982)
20. J. M. Duva 1986 A constitutive description of nonlinear materials containing voids Mech. Mater. 5 137 144 (Pubitemid 16608292)
21. A. Cocks 1989 Inelastic deformation of porous materials J. Mech. Phys. Solids 37 693 715
22. T. C. Wang J. L. Qin 1989 Constitutive potential for void-containing nonlinear material and void growth (in Chinese) Acta Mechanica Solida Sinica 2 127 142
23. J. B. Leblond G. Perrin P. Suquet 1994 Exact results and approximate models for porous viscoplastic solids International Journal of Plasticity 10 3 213 235
24. Y. Liu Z. P. Huang 2003 Macroscopic strain potentials in nonlinear porous materials Acta Mechanica Sinica 19 1 52 58
25. Z. P. Huang J. Wang 2006 Nonlinear mechanics of solids containing isolated voids ASME Appl. Mech. Rev. 59 210 229 (Pubitemid 46132197)
26. C. Y. Hsu B. J. Lee M. E. Mear 2009 Constitutive models for power-law viscous solids containing spherical voids Int. J. Plasticity 25 1 134 160
27. L. Flandi J. B. Leblond 2005 A new model for porous nonlinear viscous solids incorporating void shape effects-I: Theory Eur. J. Mech. A/Solids 24 537 551 (Pubitemid 41101016)
28. M. Gologanu J. B. Leblond J. Devaux 1993 Approximate models for ductile metals containing nonspherical voids-case of axisymmetric prolate ellipsoidal cavities J. Mech. Phys. Solids 41 1723 1754
29. M. Gologanu J. B. Leblond J. Devaux 1994 Approximate models for ductile metals containing nonspherical voids-case of axisymmetric oblate ellipsoidal cavities J. Eng. Mater. Technol. 116 290 297
30. Z. Li M. Huang 2005 Combined effects of void shape and void size-oblate spheroidal microvoid embedded in infinite non-linear solid Int. J. Plasticity 21 625 650
31. T. Pardoen J. W. Hutchinson 2000 An extended model for void growth and coalescence J. Mech. Phys. Solids 48 2467 2512
32. B. J. Lee M. E. Mear 1992 Axisymmetric deformations of power-law solids containing a dilute concentration of aligned spheroidal voids J. Mech. Phys. Solids 40 1805 1836
33. B. J. Lee M. E. Mear 1994 Studies of the growth and collapse of voids in viscous solids J. Eng. Mater. Technol. 116 348 358
34. K. C. Yee M. E. Mear 1996 Effect of void shape on the macroscopic response of non-linear porous solids Int. J. Plasticity 12 45 68 (Pubitemid 126403688)
35. Norton, F. H. Creep of Steel at High Temperature, McGraw-Hill, New York (1929)
36. J. M. Duva J. W. Hutchinson 1984 Constitutive potentials for dilutely voided nonlinear materials Mech. Mater. 3 1 41 54 (Pubitemid 14601368)
37. D. S. Wilkinson M. F. Ashby 1975 Pressure sintering by power law creep Acta Metall. 23 1277 1285
38. V. Tvergaard 1984 On the creep constrained diffusive cavitation of grain boundary facets J. Mech. Phys. Solids 32 5 373 393 (Pubitemid 15420334)
39. M. Y. He J. W. Hutchinson 1981 The penny-shaped crack and the plane strain crack in an infinite body of power-law material J. Appl. Mech. 48 830 840 (Pubitemid 12467543) (Pubitemid 12467543)
40. J. W. Hutchinson 1983 Constitutive behavior and crack tip fields for materials undergoing creep-constrained grain boundary cavitation Acta Metall. 31 7 1079 1088 (Pubitemid 13575319)
41. L. Banks-sills B. Budiansky 1982 On void collapse in viscous solids Mechanics of Materials 1 209 218 (Pubitemid 13436255) (Pubitemid 13436255)