메뉴 건너뛰기




Volumn 37, Issue 26, 2000, Pages 3525-3534

New solutions for effective elastic moduli of microcracked solids

Author keywords

[No Author keywords available]

Indexed keywords

ELASTIC MODULI; MICROCRACKS; PROBLEM SOLVING; RANDOM PROCESSES;

EID: 0033882135     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(99)00124-9     Document Type: Article
Times cited : (26)

References (37)
  • 1
    • 0022868579 scopus 로고
    • The effective moduli of cracked bodies in plane deformations
    • Aboudi, J., Benveniste, Y., 1987. The effective moduli of cracked bodies in plane deformations. Eng. Fracture Mech. 26, 171-184.
    • (1987) Eng. Fracture Mech. , vol.26 , pp. 171-184
    • Aboudi, J.1    Benveniste, Y.2
  • 2
    • 0000462898 scopus 로고
    • On the Mori-Tanaka method in cracked bodies
    • Benveniste, Y., 1986. On the Mori-Tanaka method in cracked bodies. Mech. Res. Comm. 13, 193-201.
    • (1986) Mech. Res. Comm. , vol.13 , pp. 193-201
    • Benveniste, Y.1
  • 3
    • 0002388575 scopus 로고
    • Microcracks and the static and dynamic elastic constants of annealed and heavily conventional-worked metals
    • Bristow, J.R., 1960. Microcracks and the static and dynamic elastic constants of annealed and heavily conventional-worked metals. British J. Appl. Phys. 11, 81-85.
    • (1960) British J. Appl. Phys. , vol.11 , pp. 81-85
    • Bristow, J.R.1
  • 4
    • 8344236638 scopus 로고
    • On the elastic moduli of some heterogeneous material
    • Budiansky, B., 1965. On the elastic moduli of some heterogeneous material. J. Mech. Phys. Solids 13, 223-227.
    • (1965) J. Mech. Phys. Solids , vol.13 , pp. 223-227
    • Budiansky, B.1
  • 6
    • 0018506068 scopus 로고
    • Solutions for effective shear properties in three phase sphere and cylinder models
    • Christensen, R.M., Lo, K.H., 1979. Solutions for effective shear properties in three phase sphere and cylinder models. J. Mech. Phys. Solids 27, 315-330.
    • (1979) J. Mech. Phys. Solids , vol.27 , pp. 315-330
    • Christensen, R.M.1    Lo, K.H.2
  • 7
    • 0000929676 scopus 로고
    • The determination of the elastic field of an ellipsoidal inclusion and related problems
    • Eshelby, J.D., 1957. The determination of the elastic field of an ellipsoidal inclusion and related problems. Proc. R. Soc. Lond. Series A 241, 376-396.
    • (1957) Proc. R. Soc. Lond. Series A , vol.241 , pp. 376-396
    • Eshelby, J.D.1
  • 8
    • 0019281671 scopus 로고
    • Effective elastic moduli of cracked fiber composites
    • Bunsell, J. (Ed.), Advances in Composite Materials, Pergamon Press, Oxford
    • Gottesman, T., Hashin, Z., Brull, M.A. 1980. Effective elastic moduli of cracked fiber composites. In: Bunsell, J. (Ed.), Advances in Composite Materials, Proc. ICCM 3. Pergamon Press, Oxford, pp. 749-758.
    • (1980) Proc. ICCM , vol.3 , pp. 749-758
    • Gottesman, T.1    Hashin, Z.2    Brull, M.A.3
  • 9
    • 0001623598 scopus 로고
    • The differential scheme and its application to cracked materials
    • Hashin, Z., 1988. The differential scheme and its application to cracked materials. J. Mech. Phys. Solids 36, 719-734.
    • (1988) J. Mech. Phys. Solids , vol.36 , pp. 719-734
    • Hashin, Z.1
  • 10
    • 85143526052 scopus 로고
    • The elasticity of an isotropic aggregate of an anisotropic cubic crystals
    • Hershey, A.V., Dahlgren, V.A., 1954. The elasticity of an isotropic aggregate of an anisotropic cubic crystals. J. Appl. Mech. 21, 236-241.
    • (1954) J. Appl. Mech. , vol.21 , pp. 236-241
    • Hershey, A.V.1    Dahlgren, V.A.2
  • 11
    • 11644304284 scopus 로고
    • A self-consistent mechanics of composite materials
    • Hill, R., 1965. A self-consistent mechanics of composite materials. J. Mech. Phys. Solids 13, 189-198.
    • (1965) J. Mech. Phys. Solids , vol.13 , pp. 189-198
    • Hill, R.1
  • 12
    • 0018286558 scopus 로고
    • Elastic moduli of a non-randomly cracked body
    • Hoenig, A., 1979. Elastic moduli of a non-randomly cracked body. Int J. Solids & Struct. 15, 137-154.
    • (1979) Int J. Solids & Struct. , vol.15 , pp. 137-154
    • Hoenig, A.1
  • 13
    • 0020499204 scopus 로고
    • Overall moduli of solids with microcracks: Load-induced anisotropiy
    • Horii, H., Nemat-Nasser, S., 1983. Overall moduli of solids with microcracks: Load-induced anisotropiy. J. Mech. Phys. Solids 31, 155-175.
    • (1983) J. Mech. Phys. Solids , vol.31 , pp. 155-175
    • Horii, H.1    Nemat-Nasser, S.2
  • 14
    • 0342985755 scopus 로고
    • Mechanical properties of cracked solids: Validity of the self-consistent method
    • Weng, G.J., Taya, M., Abe, H. (Eds.), Springer-Verlag, New York
    • Horii, H., Nemat-Nasser, S. 1990. Mechanical properties of cracked solids: Validity of the self-consistent method. In: Weng, G.J., Taya, M., Abe, H. (Eds.), Micromechanics and Inhomogeneity. Springer-Verlag, New York, pp. 137-159.
    • (1990) Micromechanics and Inhomogeneity , pp. 137-159
    • Horii, H.1    Nemat-Nasser, S.2
  • 15
    • 0028485992 scopus 로고
    • A generalized self-consistent mechanics methods for microcracked solids
    • Huang, Y., Hu, K.X., Chandra, A., 1994. A generalized self-consistent mechanics methods for microcracked solids. J. Mech. Phys. Solids 42, 1273-1291.
    • (1994) J. Mech. Phys. Solids , vol.42 , pp. 1273-1291
    • Huang, Y.1    Hu, K.X.2    Chandra, A.3
  • 16
    • 0030151704 scopus 로고    scopus 로고
    • The numerical calculaiton of two-dimensional effective moduli for microcracked solids
    • Huang, Y., Chandra, A., Jiang, Z.Q., Wei, X., Hu, K.X., 1996. The numerical calculaiton of two-dimensional effective moduli for microcracked solids. Int. J. Solids Struc. 33, 1575-1586.
    • (1996) Int. J. Solids Struc. , vol.33 , pp. 1575-1586
    • Huang, Y.1    Chandra, A.2    Jiang, Z.Q.3    Wei, X.4    Hu, K.X.5
  • 17
    • 0025839590 scopus 로고
    • On two-dimensional self-consistent micromechanical damage models for brittle solids
    • Ju, J.W., 1991. On two-dimensional self-consistent micromechanical damage models for brittle solids. Int. J. Solids Struct. 27, 227-258.
    • (1991) Int. J. Solids Struct. , vol.27 , pp. 227-258
    • Ju, J.W.1
  • 18
    • 0026186897 scopus 로고
    • On three-dimensional self-consistent micromechanical damage models for brittle solids. Part I: Tensile loading
    • Ju, J.W., Lee, X., 1991. On three-dimensional self-consistent micromechanical damage models for brittle solids. Part I: Tensile loading. J. Eng. Mech., ASCE 117, 1495-1515.
    • (1991) J. Eng. Mech., ASCE , vol.117 , pp. 1495-1515
    • Ju, J.W.1    Lee, X.2
  • 19
    • 0023164009 scopus 로고
    • Elastic solids with many cracks: A simple method of analysis
    • Kachanov, M., 1987. Elastic solids with many cracks: a simple method of analysis. Int. J. Solids Struc. 23, 23-43.
    • (1987) Int. J. Solids Struc. , vol.23 , pp. 23-43
    • Kachanov, M.1
  • 20
    • 84922325988 scopus 로고
    • Effective elastic properties of cracked solids: Critical review of some basic concepts
    • Kachanov, M., 1992. Effective elastic properties of cracked solids: critical review of some basic concepts. Appl. Mech. Rev. 45, 304-335.
    • (1992) Appl. Mech. Rev. , vol.45 , pp. 304-335
    • Kachanov, M.1
  • 21
    • 0000147937 scopus 로고
    • On the effective moduli of solids with cavities and cracks cracked
    • Kachanov, M., 1993. On the effective moduli of solids with cavities and cracks cracked. Appl. Mech. Rev. 45, 304-335.
    • (1993) Appl. Mech. Rev. , vol.45 , pp. 304-335
    • Kachanov, M.1
  • 22
    • 85031595237 scopus 로고
    • Elastic solids with many cracks and related problems
    • Kachanov, M., 1994. Elastic solids with many cracks and related problems. Int. J. Fracture 59, R17-R21.
    • (1994) Int. J. Fracture , vol.59
    • Kachanov, M.1
  • 23
    • 0024622323 scopus 로고
    • A mesomechanical model for brittle deformation processes: Part I
    • Krajcinovic, D., Sumarac, D., 1989. A mesomechanical model for brittle deformation processes: Part I. J. Appl. Mech. 56, 51-57.
    • (1989) J. Appl. Mech. , vol.56 , pp. 51-57
    • Krajcinovic, D.1    Sumarac, D.2
  • 24
    • 13544254011 scopus 로고
    • Berechnung der elastichen Konstanten des Vielkristalls aus den Konstantan des Einkristalls
    • Kroner, E., 1958. Berechnung der elastichen Konstanten des Vielkristalls aus den Konstantan des Einkristalls. Z. Phys. 151, 504-518.
    • (1958) Z. Phys. , vol.151 , pp. 504-518
    • Kroner, E.1
  • 25
    • 0342551382 scopus 로고
    • On three-dimensional self-consistent micromechanical damage models for brittle solids. Part II: Compressive loading
    • Lee, X., Ju, J.W., 1991. On three-dimensional self-consistent micromechanical damage models for brittle solids. Part II: Compressive loading. J. Eng. Mech., ASCE 117, 1516-1537.
    • (1991) J. Eng. Mech., ASCE , vol.117 , pp. 1516-1537
    • Lee, X.1    Ju, J.W.2
  • 26
    • 0020795784 scopus 로고
    • Stiffness changes in unidirectional composites caused by crack systems
    • Laws, N., Dvorak, G.J., Hejazi, M., 1983. Stiffness changes in unidirectional composites caused by crack systems. Mech. of Mater. 2, 123-137.
    • (1983) Mech. of Mater. , vol.2 , pp. 123-137
    • Laws, N.1    Dvorak, G.J.2    Hejazi, M.3
  • 27
    • 0023570430 scopus 로고
    • The effect of microcrack systems on loss of stiffness of brittle solids
    • Laws, N., Brockenbrough, J.R., 1987. The effect of microcrack systems on loss of stiffness of brittle solids. Int. J. Solids & Struct. 23, 1247-1268.
    • (1987) Int. J. Solids & Struct. , vol.23 , pp. 1247-1268
    • Laws, N.1    Brockenbrough, J.R.2
  • 28
    • 0023599274 scopus 로고
    • The effect of fiber breaks and aligned penny-shaped cracks on the stiffness and energy release rates in unidirectional composites
    • Laws, N., Dvorak, G.J., 1987. The effect of fiber breaks and aligned penny-shaped cracks on the stiffness and energy release rates in unidirectional composites. Int. J. Solids. & Struct. 23, 1269-1283.
    • (1987) Int. J. Solids. & Struct. , vol.23 , pp. 1269-1283
    • Laws, N.1    Dvorak, G.J.2
  • 29
    • 0017442448 scopus 로고
    • A study of the differential scheme for composite materials
    • McLaughlin, R., 1977. A study of the differential scheme for composite materials. Int. J. Engng. Sci. 15, 237-244.
    • (1977) Int. J. Engng. Sci. , vol.15 , pp. 237-244
    • McLaughlin, R.1
  • 30
    • 0015625688 scopus 로고
    • Average stress in matrix and average elastic energy of materials with misfitting inclusions
    • Mori, T., Tanaka, K., 1973. Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metallurgica 21, 571-574.
    • (1973) Acta Metallurgica , vol.21 , pp. 571-574
    • Mori, T.1    Tanaka, K.2
  • 32
    • 0022035002 scopus 로고
    • A differential scheme for the effective moduli of composites
    • Norris, A.N., 1985. A differential scheme for the effective moduli of composites. Mech. Mater. 4, 1-16.
    • (1985) Mech. Mater. , vol.4 , pp. 1-16
    • Norris, A.N.1
  • 33
    • 0000004138 scopus 로고
    • The viscosity of suspensions of rigid spheres
    • Roscoe, R.A., 1952. The viscosity of suspensions of rigid spheres. Brit. J. Appl. Phys. 3, 267-269.
    • (1952) Brit. J. Appl. Phys. , vol.3 , pp. 267-269
    • Roscoe, R.A.1
  • 34
    • 0000210236 scopus 로고
    • Isotropic composites with elastic or viscoelastic phases: General bounds for the moduli and solutions for special geometries
    • Roscoe, R.A., 1973. Isotropic composites with elastic or viscoelastic phases: General bounds for the moduli and solutions for special geometries. Rheol. Acta 12, 404-411.
    • (1973) Rheol. Acta , vol.12 , pp. 404-411
    • Roscoe, R.A.1
  • 35
    • 0023311465 scopus 로고
    • A self-constent model for microcrack-weakened solids
    • Sumarac, D., Krajcinovic, D., 1987. A self-constent model for microcrack-weakened solids. Mech. Mater. 6, 39-52.
    • (1987) Mech. Mater. , vol.6 , pp. 39-52
    • Sumarac, D.1    Krajcinovic, D.2
  • 36
    • 0024621113 scopus 로고
    • A mesomechanical model for brittle deformation processes: Part II
    • Sumarac, D., Krajcinovic, D., 1989. A mesomechanical model for brittle deformation processes: Part II. J. Appl. Mech. 56, 57-62.
    • (1989) J. Appl. Mech. , vol.56 , pp. 57-62
    • Sumarac, D.1    Krajcinovic, D.2
  • 37
    • 0000973012 scopus 로고
    • Elastic moduli for a class of porous materials
    • Zhao, Y.H., Tandon, G.P., Weng, G.J., 1989. Elastic moduli for a class of porous materials. Acta Mechanica 76, 105-130.
    • (1989) Acta Mechanica , vol.76 , pp. 105-130
    • Zhao, Y.H.1    Tandon, G.P.2    Weng, G.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.