The elastic response of a cohesive aggregate - A discrete element model with coupled particle interaction

Journal of the Mechanics and Physics of Solids

Volumn 50, Issue 12, 2002, Pages 2539-2575

  Jefferson, George ^a   Haritos, George K ^a   McMeeking, Robert M ^b  

^a Air Force Institute of Technology   (United States)

^b University of California   (United States)

Author keywords

B. Ceramic material; Elastic material C. Discrete elements; Granular material; Porous material

Indexed keywords

ALGORITHMS; DEFORMATION; DEGREES OF FREEDOM (MECHANICS); ELASTICITY; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; MONTE CARLO METHODS; PARTICLE SIZE ANALYSIS; POISSON RATIO; SINTERED ALUMINA; SINTERING; STIFFNESS MATRIX;

COUPLED PARTICLE INTERACTIONS; ELASTIC RESPONSE;

AGGREGATES;

EID: 0036887710     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-5096(02)00051-0     Document Type: Article

References (22)

1. Arzt E. The influence of an increasing particle coordination on the densification of spherical powders. Acta Metall. 30(10):1982;1883-1890.
2. Christoffersen J., Mehrabadi M.M., Nemat-Nasser S. A micromechanical description of granular material behavior. J. Appl. Mech. 48(2):1981;339-344.
3. Digby P.J. The effective elastic moduli of porous granular rocks. J. Appl. Mech. 48(4):1981;803-808.
4. Fleck N.A., Kuhn L.T., McMeeking R.M. Yielding of metal powder bonded by isolated contacts. J. Mech. Phys. Solids. 40(5):1992;1139-1162.
5. Green, D.J., Nader, C., Brezny, R., 1990. The elastic behavior of partially sintered alumina. In: Handwerker, C.A., Blendell, J.E., Keyser, W. (Eds.), Ceramics Transactions, Vol. 7, Sintering of Advanced Ceramics. American Ceramics Society, Westerville, OH, pp. 347-356.
6. Helle A.S., Easterling K.E., Ashby M.F. Hot isostatic pressing diagrams. new developments Acta Metall. 33(12):1985;2163-2174.
7. Hill R. The elastic behavior of a crystalline aggregate. Proc. Phys. Soc. A. 65(5):1952;349-354.
8. Jagota A., Dawson P.R. Micromechanical modeling of powder compacts -- I. Unit problems for sintering and traction induced deformation; II. Truss formulation of discrete packings. Acta Metall. 36(9):1988;2551-2573.
9. Jenkins J.T., La Ragione L. Particle spin in anisotropic granular materials. Int. J. Solids Struct. 38(6-7):2001;1063-1069.
10. Jenkins J.T., Strack O.D.L. Mean-field inelastic behavior of random arrays of identical spheres. Mech. Mater. 16(1-2):1993;25-33.
11. Johnson K.L. Contact Mechanics. 1985;Cambridge University Press, Cambridge.
12. Jullien R., Pavlovitch A., Meakin P. Random packings of spheres built with sequential models. J. Phys. A. 25(15):1992;4103-4113.
13. Lam D.C.C., Lange F.F., Evans A.G. Mechanical-properties of partially dense alumina produced from powder compacts. J. Amer. Ceramic Soc. 77(8):1994;2113-2117.
14. Levi C.G., Zok F.W., Yang J.Y., Mattoni M., Lofvander J.P.A. Microstructural design of stable porous matrices for all-oxide ceramic composites. Z. Metall. 90(12):1999;1037-1047.
15. McMeeking R.M., Jefferson G., Haritos G.K. Elastic and visco-elastic response of finite particle junctions in granular materials. Zavaliangos A., Laptev A. Recent Developments in Computer Modeling of Powder Metallurgy Processes. 2001;50-62 IOS Press, Amsterdam.
16. Mindlin R.D. Compliance of elastic bodies in contact. J. Appl. Mech. 16(3):1949;259-268.
17. Misra A., Chang C.S. Effective elastic moduli of heterogeneous granular solids. Int. J. Solids Struct. 30(18):1993;2547-2566.
18. Mura T. Micromechanics of Defects in Solids. 1982;Nijhoff, The Hague, The Netherlands.
19. Norris A.N., Johnson D.L. Nonlinear elasticity of granular media. J. Appl. Mech. 64(1):1997;39-49.
20. Parhami F., McMeeking R.M. A network model for initial stage sintering. Mech. Mater. 27(2):1998;111-124.
21. Scott G.D. Packing of spheres. Nature. 188(4754):1960;908-909.
22. Walton K. The effective elastic moduli of a random packing of spheres. J. Mech. Phys. Solids. 35(2):1987;213-226.