The eshelby tensors in a finite spherical domain - Part II: Applications to homogenization

Journal of Applied Mechanics, Transactions ASME

Volumn 74, Issue 4, 2007, Pages 784-797

  Li, Shaofan ^a   Wang, Gang ^a   Sauer, Roger A ^a  

^a Berkeley

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; HOMOGENIZATION METHOD; MATHEMATICAL MODELS; MICROSTRUCTURE; STRAIN; SUSPENSIONS (FLUIDS);

EIGENSTRAIN; FINITE SPHERICAL DOMAIN; MORI-TANAKA METHOD;

TENSORS;

EID: 34548240105     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2711228     Document Type: Article

References (16)

1. Li, S., Sauer, R. A., and Wang, G., 2006, "The Eshelby Tensors in a Finite Spherical Domain-Part I: Theoretical Formulations," ASME J. Appl. Mech., 74, pp. 770-783.
2. Calvert, P., 1999, "Nanotube Composites: A Recipe for Strength," Nature (London), 399, pp. 210-211.
3. Thostenson, E. T., Ren, Z., and Chou, T. W., 2001, "Advances in Science and Technology of Carbon Nanotubes and Their Composites: A Review," Compos. Sci. Technol., 61, pp. 1899-1912.
4. Fisher, F. T., Bradshaw, R. D., and Brinson, L. C., 2002, "Effects of Nanotube Waviness on the Modulus of Nanotube-Reinforced Polymers," Appl. Phys. Lett., 80, pp. 4647-4649.
5. Odegard, G. M., Gates, T. S., Wise, K. E., Park, C., and Siochi, E. J., 2003, "Constitutive Modeling of Nanotube-Reinforced Polymer Composites," Compos. Sci. Technol., 63, pp. 1671-1687.
6. Shi, D.-L., Feng, X.-Q., Huang, Y.-Y., Hwang, K.-C., and Gao, H., 2004, "The Effect of Nanotube Waviness and Agglomeration on the Elastic Property of Carbon Nanotube-Reinforced Composites," J. Eng. Mater. Technol., 126, pp. 250-257.
7. Sharma, P., and Ganti, S., 2004, "Size-Dependent Eshelby's Tensor for Embedded Nano-Inclusions Incorporating Surface/Interface Energies," ASME J. Appl. Mech., 71, pp. 663-671.
8. Ovid'ko, I. A., and Scheinerman, A. G., 2005, "Elastic Fields of Inclusion in Nanocomposite Solids," Rev. Adv. Mater. Sci., 9, pp. 17-33.
9. Tanaka, K., and Mori, T., 1972, "Note on Volume Integrals of the Elastic Field Around an Ellipsoidal Inclusion," J. Elast., 2, pp. 199-200.
10. Nemat-Nasser, S., and Hori, M., 1999, Micromechanics: Overall Properties of Heterogeneous Materials, Elsevier, Amsterdam, The Netherlands.
11. Mori, T., and Tanaka, K., 1973, "Average Stress in Matrix and Average Elastic Energy of Materials with Misfiting Inclusion," Acta Metall., 21, pp. 571-574.
12. Sauer, R. A., Wang, G., and Li, S., 2007, "The Composite Eshelby Tensors and Their Application to Homogenization," submitted.
13. Castles, R. R., and Mura, T., 1985, "The Analysis of Eigenstrains Outside of an Ellipsoidal Inclusion," J. Elast., 15, pp. 27-34.
14. Willis, J. R., 1981, "Variational and Related Methods for the Overall Properties of Composites," Advances in Applied Mechanics, C. S. Vih, ed., Academic, New York, Vol. 21, pp. 1-78.
15. Hashin, Z., and Shtrikman, S., 1962, "On Some Variational Principles in Anisotropic and Nonhomogeneous Elasticity," J. Mech. Phys. Solids, 10, pp. 335-342.
16. Hashin, Z., and Shtrikman, S., 1962, "A Variational Approach to the Theory of the Elastic Behavior of Polycrystals," J. Mech. Phys. Solids, 10, pp. 343-352.