Elastic equilibrium of a medium containing a finite number of arbitrarily oriented spheroidal inclusions

International Journal of Solids and Structures

Volumn 35, Issue 12, 1998, Pages 1187-1198

  Kushch, V I ^a  

^a BAKUL INSTITUTE FOR SUPERHARD MATERIALS   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; ELASTICITY; INCLUSIONS; INTERFACES (MATERIALS); LINEAR ALGEBRA; MATHEMATICAL MODELS; STRESS CONCENTRATION;

SPHEROIDAL INCLUSIONS;

COMPOSITE STRUCTURES;

EID: 0032043129     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(97)00098-X     Document Type: Article

References (23)

1. Bateman, G. and Erdelyi, A. (1953) Higher Transcendental Functions. McGraw Hill, New York.
2. Chen, H. S. and Acrivos, A. (1978) The solution of the equations of linear elasticity for an infinite region containing two spherical inclusions. International journal of Solids and Structures 14, 331-348.
3. Eshelby, J. D. (1959) The elastic field outside the ellipsoidal inclusion. Proceedings of the Royal Society of London A252, 561-569.
4. Golovchan, V. T. (1974) The solution of static boundary-value problems for the elastic body constrained by the spherical surfaces. Doklady AN Ukraine SSR 1, 61-64 (in Ukranian).
5. Golovchan, V. T., Guz, A. N., Kohanenko, Yu. V. and Kushch, V. I. (1993) Mechanics of composites (in 12 volumes). Statics of Materials, Vol. 1. Naukova dumka, Kiev (in Russian).
6. Hill, R. A. (1965) A self-consistent mechanics of composite materials. Journal of Mechanics and Physics of Solids 13, 213-222.
7. Hori, M. and Nemat-Nasser, S. (1993) Double-inclusion model and overall moduli of multiphase composites. Mechanics of Materials 14, 189-206.
8. Iwakuma, T. and Nemat-Nasser, S. (1983) Composites with periodic microstructure. Computers and Structures 16, 13-19.
9. Kushch, V. I. (1985) Elastic equilibrium of a medium containing periodic spherical inclusions. Soviet Applied Mechanics 21, 435-442.
10. Kushch, V. I. (1987) Computation of the effective elastic moduli of a granular composite material of regular structure. Soviet Applied Mechanics 23, 362-365.
11. Kushch, V. I. (1995) Addition theorems for the partial vectorial solutions of Lame's equation in a spheroidal basis. International Applied Mechanics 31, 2, 86-92.
12. Kushch, V. I. (1996a) Elastic equilibrium of a medium containing finite number of aligned spheroidal inclusions. International Journal of Solids and Structures 33, 1175-1189.
13. Kushch, V. I (1996b) Microstresses and effective elastic moduli of a solid reinforced by periodically distributed spheroidal inclusions. International Journal of Solids and Structures 34, 1353-1366.
14. Levin, V. M. (1977) On the stress concentrations on the inclusions in composite materials. Prikladnaya Matematika i Mehanika 41, 735-743 (in Russian).
15. More, P. M. and Feshbach, H. (1953) Methods of Theoretical Physics. McGraw Hill, New York.
16. Moskovidis, Z. A. and Mura, T. (1975) Two ellipsoidal inhomogeneities by the equivalent inclusion method. Journal of Applied Mechanics 42, 847-852.
17. 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.
18. Rodin, G. J. and Hwang, Y.-L. (1991) On the problem of linear elasticity for an infinite region containing a finite number of non-intersecting spherical inhomogeneities. International Journal of Solids and Structures 27, 145-159.
19. 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.
20. Sangani, A. S. and Mo, G. (1995) An O(N) algorithm for Stokes and Laplace interactions of particles. Physics of Fluids (submitted).
21. Sternberg, E. and Sadowsky, M. A. (1952) On the axisymmetrical problem of the theory of elasticity for an infinite region containing two spherical cavities. Journal of Applied Mechanics 19, 19-27.
22. Tandon, G. P. and Weng, G. J. (1986) Stress distribution in and around spheroidal inclusions and voids at finite concentration. Transactions of the ASME Journal of Applied Mechanics 53, 511-518.
23. Tsuchida, E., Nakahara, J. and Kodama, M. (1976) On the asymmetric problem of elasticity for an infinite elastic solid containing some spherical cavities. Bulletin of the JSME 19, 993-998.