Calculation of a constitutive potential for isostatic powder compaction

International Journal of Mechanical Sciences

Volumn 44, Issue 11, 2002, Pages 2239-2262

  Subramanian, S J ^a   Sofronis, P ^a  

^a University of Illinois at Urbana Champaign   (United States)

Author keywords

Constitutive law; Creep deformation; Diffusion; Sintering

Indexed keywords

COMPUTER SIMULATION; CREEP; DENSIFICATION; DIFFUSION; FINITE ELEMENT METHOD; GRAIN BOUNDARIES; INITIAL VALUE PROBLEMS; PORE SIZE; SINTERING; STRAIN;

ISOSTATIC POWDER COMPACTION;

COMPACTION;

EID: 0036874944     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7403(02)00174-1     Document Type: Article

References (32)

1. Arzt E., Ashby M.F., Easterling K.E. Practical applications of hot-isostatic pressing diagrams. four case studies Metallurgical Transactions. 14A(2):1983;211-221.
2. Kuhn L.T., McMeeking R.M. Power law creep of powder bonded by isolated contacts. International Journal of Mechanical Sciences. 34(7):1992;563-573.
3. McMeeking R.M., Kuhn L.T. A diffusional creep law for powder compacts. Acta Metallurgica et Materialia. 40(5):1992;961-969.
4. Fleck N.A., Kuhn L.T., McMeeking R.M. Yielding of metal powder bonded by isolated contacts. Journal of Mechanics and Physics of Solids. 40(5):1992;1139-1162.
5. Akisanya A.R., Cocks A.C.F. Stage I compaction of cylindrical particles under nonhydrostatic loading. Journal of Mechanics and Physics of Solids. 43(4):1995;605-636.
6. Akisanya A.R., Cocks A.C.F., Fleck N.A. Hydrostatic compaction of cylindrical particles. Journal of Mechanics and Physics of Solids. 42(7):1994;1067-1085.
7. Fleck N.A. On the cold compaction of powders. Journal of Mechanics and Physics of Solids. 43(9):1995;1409-1431.
8. Storakers B., Fleck N.A., McMeeking R.M. The viscoplastic compaction of composite powders. Journal of Mechanics and Physics of Solids. 47(4):1999;785-815.
9. Cocks A.C.F. The structure of constitutive laws for the sintering of fine-grained materials. Acta Metallurgica et Materialia. 42(7):1994;2191-2210.
10. Gurson A.L. Continuum theory of ductile rupture by void nucleation and growth. Part I-yield criteria and flow rules for porous ductile media Journal of Engineering Materials and Technology-Transactions of the ASME. 99(1):1977;2-15.
11. Leblond J.B., Perrin G., Deveaux J. An improved Gurson-type model for hardenable ductile metals. European Journal of Mechanics A/Solids. 14(4):1995;499-527.
12. Duva J.M., Hutchinson J.W. Constitutive potentials for dilutely voided nonlinear materials. Mechanics Materials. 3(1):1984;41-54.
13. Duva J.M. A constitutive description of nonlinear materials containing voids. Mechanics Materials. 5(2):1986;137-144.
14. Ponte Castaneda P., Willis J.R. On the overall properties of nonlinearly viscous composites. Proceedings of the Royal Society of London A. 416(1850):1988;217-244.
15. Cocks A.C.F. Inelastic deformation of porous materials. Journal of Mechanics and Physics of Solids. 37(6):1989;693-715.
16. Sofronis P., McMeeking R.M. Creep of power-law material containing spherical voids. Journal of Applied Mechanics. 59(2):1992;88-95.
17. Leblond J.B., Perrin G., Suquet P. Exact results and approximate models for porous viscoplastic solids. International Journal of Plasticity. 10(3):1994;213-235.
18. Kailasam M, Ponte Castaneda P. Constitutive relations for porous materials: the effect of changing void shape and orientation In: Pineau A, Zaoui A, editors. IUTAM Symposium on Micromechanics of Plasticity and Damage of Multiphase Materials, Netherlands: Kluwer Academic Publishers, 1996. p. 215-22.
19. Ponte Castaneda P., Zaidman M. Constitutive models for porous materials with evolving microstructure. Journal of Mechanics and Physics of Solids. 42(9):1994;1459-1497.
20. Kailasam M., Aravas N., Ponte Castaneda P. Porous metals with developing anisotropy: constitutive models, computational issues and applications to deformation processing. Computer Modeling in Engineering Science. 1(2):2000;105-118.
21. Herring C. Surface tension as a motivation for sintering. In: the physics of powder metallurgy-a symposium held at Bayside, L.I., New York, August 24-26, 1949. p. 143-79.
22. Rice J.R., Chuang T.-.J. Energy variations in diffusive cavity growth. Journal of the American Ceramic Society. 64(1):1981;46-53.
23. Subramanian S.J., Sofronis P. Modeling the interaction between densification mechanisms in powder compaction. International Journal of Solids and Structures. 38:2001;7899-7918.
24. Chuang T.-.Z., Kagawa I.K., Rice J.R., Sills L.B. Non-equilibrium models for diffusive cavitation of grain interfaces. Acta Metallurgica. 27(3):1979;265-284.
25. Hill R. The essential structure of constitutive laws for metal composites and polycrystals. Journal of Mechanics and Physics of Solids. 15(1):1967;79-95.
26. Ashby MF. HIP 6.0 User Manual, Cambridge: University of Cambridge, 1990.
27. Schafrik R.E. Dynamic elastic moduli of the titanium aluminides. Metallurgical Transactions. 8A(6):1977;1003-1006.
28. Bouvard D., Meister T. Modelling bulk viscosity of powder aggregate during sintering. Modelling and Simulation in Material Science and Engineering. 8(3):2000;377-388.
29. Riedel H. A constitutive model for the finite-element simulation of sintering-distortions and stresses. In: Messing GL, Hirano S-I, Hausner H, editors. Ceramic transactions, ceramic powder science III, vol 12. Westerville, OH: American Ceramic Society, 1990. p. 619-30.
30. Svoboda J., Riedel H. Quasi-equilibrium sintering for coupled grain-boundary and surface diffusion. Acta Metallurgical Materialia. 43(2):1995;499-506.
31. Alexander B.H., Balluffi R.W. The mechanism of sintering of copper. Acta Metallurgica. 5(11):1957;666-677.
32. Fishcmeister H.F., Arzt E. Densification of powders by particle deformation. Powder Metallurgica. 26(2):1983;82-88.