Microstresses and effective elastic moduli of a solid reinforced by periodically distributed spheroidal particles

International Journal of Solids and Structures

Volumn 34, Issue 11, 1997, Pages 1353-1366

  Kushch, V I ^a  

^a BAKUL INSTITUTE FOR SUPERHARD MATERIALS   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; ELASTIC MODULI; INTERFACES (MATERIALS); STRAIN; STRESS CONCENTRATION; TENSORS; VECTORS;

LAME'S EQUATION; SPHEROIDAL PARTICLES;

COMPOSITE MATERIALS;

EID: 0031120788     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(96)00078-9     Document Type: Article

References (15)

1. Golovchan, V. T., Guz, A. N., Kohanenko, Yu. V. and Kushch, V. I. (1993) Mechanics of Composites (in 12 v.) V.1 Statics of Materials. Nauk. dumka, Kiev (in Russian).
2. Hobson, E. W. (1931) The Theory of the Spherical and Ellipsoidal Functions. Cambridge University Press, Massachusetts.
3. Iwakuma, T. and Nemat-Nasser S. (1983) Composites with periodic microstructure. Computers and Structures 16, 13-19.
4. Kushch, V. I. (1985) Elastic equilibrium of a medium containing periodic spherical inclusions. Soviet Applied Mechanics 21, 435-442.
5. Kushch, V. I. (1986) The stressed state and overall properties of elastic composite material with regular structure. Ph.D. thesis, Kiev (in Russian).
6. Kushch, V. I. (1987) Computation of the effective elastic moduli of a granular composite material of regular structure. Soviet Applied Mechanics 23, 362-365.
7. Kushch, V. I. (1995a) Addition theorems for the partial vectorial solutions of Lame's equation in a spheroidal basis. International Applied Mechanics 31, 86-92.
8. Kushch, V. I. (1995b) Elastic equilibrium of a medium containing finite number of aligned spheroidal inclusions. International Journal of Solids and Structures 33, 1175-1189.
9. Kushch, V. I. (1995c) Conductivity of a periodic particle composite with transversely isotropic phases Proceedings of the Royal Society of London (in press).
10. McPhedran, R. C. and McKenzie, D. R. (1978) The conductivity of lattices of spheres. 1. The simple cubic lattice. Proceedings of the Royal Society of London, A 359, 45-63.
11. Nunan, C. K. and Keller, J. B. (1984) Effective elasticity tensor of a periodic composite. Journal of Mechanics and Physics of Solids 32, 259-280.
12. Sangani, A. S. and Lu, W. (1987) Elastic coefficients of composites containing spherical inclusions in a periodic array. Journal of Mechanics and Physics of Solids 35, 1-21.
13. Sangani, A. S. and Yao, C. (1988) Thermal conductivity of composites with spherical inclusions. Journal of Applied Physics 65, 1334-1341.
14. Suen, W. M., Wong, S. P. and Young, K. (1979) The lattice model of heat conduction in a composite material. Journal of Physics D12, 1325-1338.
15. Tandon, G. P. and Weng, G. J. (1986) Stress distribution in and around spheroidal inclusions and voids at finite concentration. Transactions ASME Journal of Applied Mechanics 53, 511-518.