A circular inclusion in a finite domain II. The Neumann-Eshelby problem

Acta Mechanica

Volumn 179, Issue 1-2, 2005, Pages 91-110

  Wang, G ^a,b   Li, S ^a,b   Sauer, R ^a,b  

^a University of California ^*

^b Berkeley   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CIRCULAR INCLUSION; FINITE ELASTIC MEDIUM; REPRESENTATIVE VOLUME ELEMENT (RVE);

BOUNDARY CONDITIONS; ELASTIC MODULI; MAGNETIC DOMAINS; STRAIN RATE; TENSORS;

FINITE ELEMENT METHOD;

EID: 26044469953     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-005-0236-0     Document Type: Article

References (9)

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2. Eshelby, J. D.: The elastic field outside an ellipsoidal inclusion. Proc. Royal Soc. London A252, 561-569 (1959).
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4. Hashin, Z., Shtrikman, S.: A variational approach to the theory of the elastic behavior of polycrystals. J. Mech. Phys. Solids 10, 343-352 (1962).
5. Hill, R.: New derivations of some elastic extremum principles. In: Progress in Applied Mechanics-The Prager Anniversary Volume, pp. 99-106. New York: Macmillan 1963.
6. Li, S., Sauer, R., Wang, G.: Circular inclusion in a finite elastic domain I. The Dirichlet-Eshelby tensor. Acta Mech. (this volume), 67-90.
7. Nemat-Nasser, S. Hori, M.: Micromechanics: overall properties of heterogeneous materials, 2nd ed. Amsterdam New York Oxford: Elsevier 1998.
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9. Weng, G. J.: The theoretical connection between Mori-Tanaka's theory and the Hashin-Shtrikman-Walpole bounds. Int. J. Eng. Sci. 28, 1111-1120 (1990).