메뉴 건너뛰기




Volumn 43, Issue 5, 2011, Pages 269-275

On the third-order bounds of the effective shear modulus of two-phase composites

Author keywords

Composites; Effective moduli; Shear modulus; Variational bounds

Indexed keywords

BULK MODULUS; BULK PARAMETERS; COMPOSITES; EFFECTIVE MODULI; EFFECTIVE SHEAR MODULUS; FIRST-ORDER; INHOMOGENEOUS MEDIA; LOWER BOUNDS; MULTIPHASE MEDIA; NONLINEAR COMPOSITE; PLASTICITY THEORY; RANDOM COMPOSITES; SECOND-ORDER BOUNDS; SHEAR MODULUS; SHEAR PARAMETERS; SIMPLE RULES; STOCHASTIC VARIATIONAL PRINCIPLE; THIRD-ORDER; TRIAL FUNCTIONS; TWO PHASE COMPOSITES; UPPER BOUND; VARIATIONAL BOUNDS; VARIATIONAL PRINCIPLES;

EID: 79952722190     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechmat.2011.02.009     Document Type: Article
Times cited : (7)

References (17)
  • 1
    • 0001582295 scopus 로고
    • On the effective conductivity of polycrystals and a three-dimensional phase-interchange inequality
    • M. Avellaneda, A.V. Cherkaev, K.A. Lurie, and G.W. Milton On the effective conductivity of polycrystals and a three-dimensional phase-interchange inequality J. Appl. Phys. 63 1988 4989 5003
    • (1988) J. Appl. Phys. , vol.63 , pp. 4989-5003
    • Avellaneda, M.1    Cherkaev, A.V.2    Lurie, K.A.3    Milton, G.W.4
  • 2
    • 51249192991 scopus 로고
    • Use of the variational approach to determine bounds for the effective permittivity in random media
    • M.J. Beran Use of the variational approach to determine bounds for the effective permittivity in random media Nuovo Cimento 38 1965 771 782
    • (1965) Nuovo Cimento , vol.38 , pp. 771-782
    • Beran, M.J.1
  • 3
    • 0001490516 scopus 로고
    • Use of classical variational principles to determine bounds for the effective bulk modulus in heterogeneous media
    • M.J. Beran, and J. Molyneux Use of classical variational principles to determine bounds for the effective bulk modulus in heterogeneous media Q. Appl. Math. 24 1966 107 118
    • (1966) Q. Appl. Math. , vol.24 , pp. 107-118
    • Beran, M.J.1    Molyneux, J.2
  • 4
    • 0007544668 scopus 로고
    • A variational approach to the theory of the elastic behavior of multiphase materials
    • Z. Hashin, and S. Shtrikman A variational approach to the theory of the elastic behavior of multiphase materials J. Mech. Phys. Sol. 11 1963 127 140
    • (1963) J. Mech. Phys. Sol. , vol.11 , pp. 127-140
    • Hashin, Z.1    Shtrikman, S.2
  • 6
    • 22244441649 scopus 로고
    • Bounds on the electromagnetic, elastic, and other properties of two-component composites
    • G.W. Milton Bounds on the electromagnetic, elastic, and other properties of two-component composites Phys. Rev. Lett. 46 1981 542 545
    • (1981) Phys. Rev. Lett. , vol.46 , pp. 542-545
    • Milton, G.W.1
  • 8
    • 0000971671 scopus 로고
    • New bounds on effective elastic moduli of two-component materials
    • G.W. Milton, and N. Phan-Thien New bounds on effective elastic moduli of two-component materials Proc. R. Soc. London Ser. A 380 1982 305 331
    • (1982) Proc. R. Soc. London Ser. A , vol.380 , pp. 305-331
    • Milton, G.W.1    Phan-Thien, N.2
  • 11
    • 84956078977 scopus 로고
    • Berechnung der Fließgrenze von Mischkristallen auf Grund der Plastizitätsbedingung für Einkristalle
    • A. Reuss Berechnung der Fließgrenze von Mischkristallen auf Grund der Plastizitätsbedingung für Einkristalle ZAMM 9 1929 49 58
    • (1929) ZAMM , vol.9 , pp. 49-58
    • Reuss, A.1
  • 13
    • 0003389412 scopus 로고
    • Theoretische Studien über die Elasticitätsverhältnisse der Krystalle, Abh
    • W. Voigt Theoretische Studien über die Elasticitätsverhä ltnisse der Krystalle, Abh Kgl.Ges.Wiss.Göttingen. Math.Kl. 34 1887 3 51
    • (1887) Kgl.Ges.Wiss.Göttingen. Math.Kl. , vol.34 , pp. 3-51
    • Voigt, W.1
  • 14
    • 70349556019 scopus 로고    scopus 로고
    • Generalized variational principles for uncertainty quantification of boundary value problems of random heterogeneous materials
    • X.F. Xu Generalized variational principles for uncertainty quantification of boundary value problems of random heterogeneous materials J. Eng. Mech. 135 2009 1180 1188
    • (2009) J. Eng. Mech. , vol.135 , pp. 1180-1188
    • Xu, X.F.1
  • 15
    • 56749163389 scopus 로고    scopus 로고
    • Stochastic homogenization of random multi-phase composites and size quantification of representative volume element
    • X.F. Xu, and X. Chen Stochastic homogenization of random multi-phase composites and size quantification of representative volume element Mech. Mater. 41 2009 174 186
    • (2009) Mech. Mater. , vol.41 , pp. 174-186
    • Xu, X.F.1    Chen, X.2
  • 17
    • 70349504357 scopus 로고    scopus 로고
    • A Green-function-based multiscale method for uncertainty quantification of finite body random heterogeneous materials
    • X.F. Xu, X. Chen, and L. Shen A Green-function-based multiscale method for uncertainty quantification of finite body random heterogeneous materials Comput. Struct. 87 2009 1416 1426
    • (2009) Comput. Struct. , vol.87 , pp. 1416-1426
    • Xu, X.F.1    Chen, X.2    Shen, L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.