A novel formulation for the exterior- point eshelby’s tensor of an ellipsoidal inclusion

Journal of Applied Mechanics, Transactions ASME

Volumn 66, Issue 2, 1999, Pages 570-574

  Ju, J M ^a   Sun, L Z ^a  

^a University of California   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

INTERFACES (MATERIALS); MATRIX ALGEBRA; STRAIN; STRESS ANALYSIS; STRESS CONCENTRATION; TENSORS; VECTORS;

ELLIPSOIDAL INCLUSION; EXTERIOR-POINT ESHELBY'S TENSOR;

COMPOSITE MICROMECHANICS;

EID: 0033149026     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.2791090     Document Type: Article

References (10)

1. Edwards, R. H., 1951, “Stress Concentrations Around Spheroidal Inclusions and Cavities,” ASME Journal of Applied Mechanics, Vol. 18, pp. 19-30.
2. Eshelby, J. D., 1957, “The determination of the elastic field of an ellipsoidal inclusion, and related problems,” Proc. R. Soc. Lond., Vol. A241, pp. 376-396.
3. Eshelby, J. D., 1959, “The elastic field outside an ellipsoidal inclusion,” Proc. R. Soc. Lond., Vol. A252, pp. 561-569.
4. Goodier, J. N., 1937, “On the integration of the thermo-elastic equations,” Phil. Mag., Vol. 23, pp. 1017-1032.
5. Hill, R., 1961, “Discontinuity relations in mechanics of solids,” Progress in Solid Mechanics, II, edited by I. N. Sneddon and R. Hill, eds., North-Holland Publishing Company, Amsterdam, pp. 245-276.
6. Ju, J. W., and Chen, T. M., 1994, “Micromechanics and effective moduli of elastic composites containing randomly dispersed ellipsoidal inhomogeneities,” Acta Me-chanica, Vol. 103, pp. 103-121.
7. Mura, T., 1987, Micromechanics of Defects in Solids, 2nd Ed. Martinus Nijhoff, Dordrecht, The Netherlands.
8. Mura, T., and Cheng, P. C., 1977, “The Elastic Field Outside an Ellipsoidal Inclusion,” ASME Journal of Applied Mechanics, Vol. 44, pp. 591-594.
9. Nemat-Nasser, S., and Hori, M., 1993, Micromechanics: Overall Properties of Heterogeneous Materials, North-Holland, Amsterdam.
10. Sun, L. Z., 1998, “Micromechanics and Overall Mechanical Behavior of Discontinuously Reinforced Metal Matrix Composites,” Ph.D. thesis, University of California, Los Angeles.