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Volumn 44, Issue 4, 1996, Pages 497-524

A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites

Author keywords

[No Author keywords available]

Indexed keywords

COMPOSITE MICROMECHANICS; ELASTIC MODULI; ELASTICITY; ERRORS; ESTIMATION; MATHEMATICAL MODELS; REINFORCEMENT; STATISTICS; STRAIN; STRESSES; TENSORS; VARIATIONAL TECHNIQUES;

EID: 0030128871     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/0022-5096(96)00007-5     Document Type: Article
Times cited : (779)

References (14)
  • 2
    • 27744489677 scopus 로고
    • On some variational principles in anisotropic and nonhomogeneous elasticity
    • Hashin, Z. and Shtrikman, S. (1962a) On some variational principles in anisotropic and nonhomogeneous elasticity. Journal of the Mechanics and Physics of Solids 10, 335-342.
    • (1962) Journal of the Mechanics and Physics of Solids , vol.10 , pp. 335-342
    • Hashin, Z.1    Shtrikman, S.2
  • 3
    • 11644258018 scopus 로고
    • A variational approach to the theory of the elastic behavior of polycrystals
    • Hashin, Z. and Shtrikman, S (1962b) A variational approach to the theory of the elastic behavior of polycrystals. Journal of the Mechanics and Physics of Solids 10, 343-352.
    • (1962) Journal of the Mechanics and Physics of Solids , vol.10 , pp. 343-352
    • Hashin, Z.1    Shtrikman, S.2
  • 4
    • 49749215641 scopus 로고
    • Continuum micromechanics of elastoplastic polycrystals
    • Hill, R. (1965) Continuum micromechanics of elastoplastic polycrystals. Journal of the Mechanics and Physics of Solids 13, 89-101.
    • (1965) Journal of the Mechanics and Physics of Solids , vol.13 , pp. 89-101
    • Hill, R.1
  • 7
    • 7544220942 scopus 로고
    • Analysis of classical statistical mechanics by means of collective coordinates
    • Percus, J. K. and Yevick, G. J. (1958) Analysis of classical statistical mechanics by means of collective coordinates. Physical Review 110, 1-13.
    • (1958) Physical Review , vol.110 , pp. 1-13
    • Percus, J.K.1    Yevick, G.J.2
  • 8
    • 0000566969 scopus 로고
    • Exact solution of the Percus-Yevick integral equation for hard spheres
    • Wertheim, M. S. (1963) Exact solution of the Percus-Yevick integral equation for hard spheres. Physical Review Letters 10, 321-323.
    • (1963) Physical Review Letters , vol.10 , pp. 321-323
    • Wertheim, M.S.1
  • 9
    • 0017502751 scopus 로고
    • Bounds and self-consistent estimates for the overall properties of anisotropic composites
    • Willis, J. R. (1977) Bounds and self-consistent estimates for the overall properties of anisotropic composites. Journal of the Mechanics and Physics of Solids 25, 185-202.
    • (1977) Journal of the Mechanics and Physics of Solids , vol.25 , pp. 185-202
    • Willis, J.R.1
  • 10
    • 0019697033 scopus 로고
    • Variational and related methods for the overall properties of composites
    • Willis, J. R. (1981) Variational and related methods for the overall properties of composites. Advances in Applied Mechanics 21, 1-78.
    • (1981) Advances in Applied Mechanics , vol.21 , pp. 1-78
    • Willis, J.R.1
  • 11
    • 0002767124 scopus 로고
    • Elasticity theory of composites
    • eds H. G. Hopkins and M. J. Sewell, Pergamon Press, Oxford
    • Willis, J. R. (1982) Elasticity theory of composites. Mechanics of Solids: The R. Hill 60th Anniversary Volume (eds H. G. Hopkins and M. J. Sewell), pp. 653-686. Pergamon Press, Oxford.
    • (1982) Mechanics of Solids: The R. Hill 60th Anniversary Volume , pp. 653-686
    • Willis, J.R.1
  • 12
    • 0020917543 scopus 로고
    • The overall elastic response of composite materials
    • Willis, J. R. (1983) The overall elastic response of composite materials. ASME Journal of Applied Mechanics 50, 1202-1209.
    • (1983) ASME Journal of Applied Mechanics , vol.50 , pp. 1202-1209
    • Willis, J.R.1
  • 13
    • 0040981477 scopus 로고
    • Some remarks on the application of the QCA to the determination of the overall elastic response of a matrix/inclusion composite
    • Willis, J. R. (1984) Some remarks on the application of the QCA to the determination of the overall elastic response of a matrix/inclusion composite. Journal of Mathematical Physics 25, 2116-2120.
    • (1984) Journal of Mathematical Physics , vol.25 , pp. 2116-2120
    • Willis, J.R.1
  • 14
    • 0021975207 scopus 로고
    • The nonlocal influence of density variations in a composite
    • Willis, J. R. (1985) The nonlocal influence of density variations in a composite. International Journal of Solids and Structures 21, 805-817.
    • (1985) International Journal of Solids and Structures , vol.21 , pp. 805-817
    • Willis, J.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.