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Volumn 34, Issue , 2012, Pages 21-37

Homogenization methods for multi-phase elastic composites with non-elliptical reinforcements: Comparisons and benchmarks

Author keywords

Analytical solution; Effective elastic properties; Eshelby tensor; Homogenization; Non elliptical inhomogeneities

Indexed keywords

ELASTIC MODULI; FINITE ELEMENT METHOD; HOMOGENIZATION METHOD; MICROSTRUCTURE; NUMERICAL METHODS; STRAIN;

EID: 84856483008     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechsol.2011.12.002     Document Type: Article
Times cited : (90)

References (81)
  • 1
    • 0036748865 scopus 로고    scopus 로고
    • Computation of linear elastic properties from microtomographic images: Methodology and agreement between theory and experiment
    • Arns, C., Knackstedt, M., Pinczewski, W., Garboczi, E., 2002. Computation of linear elastic properties from microtomographic images: Methodology and agreement between theory and experiment. Geophysics 67 (5), 1396-1405. (Pubitemid 35182103)
    • (2002) Geophysics , vol.67 , Issue.5 , pp. 1396-1405
    • Arns, C.H.1    Knackstedt, M.A.2    Pinczewski, W.V.3    Garboczi, E.J.4
  • 3
    • 0023360657 scopus 로고
    • New approach to the application of mori-tanaka's theory in composite materials
    • DOI 10.1016/0167-6636(87)90005-6
    • Benveniste, Y., 1987. A new approach to the application of Mori-Tanaka's theory in composite materials. Mechanics of Materials 6 (2), 147-157. (Pubitemid 18530321)
    • (1987) Mechanics of Materials , vol.6 , Issue.2 , pp. 147-157
    • Benveniste, Y.1
  • 4
    • 44949280260 scopus 로고
    • On diagonal and elastic symmetry of the approximate effective stiffness tensor of heterogeneous media
    • Benveniste, Y., Dvorak, G., Chen, T., 1991. On diagonal and elastic symmetry of the approximate effective stiffness tensor of heterogeneous media. Journal of the Mechanics and Physics of Solids 39 (7), 927-946.
    • (1991) Journal of the Mechanics and Physics of Solids , vol.39 , Issue.7 , pp. 927-946
    • Benveniste, Y.1    Dvorak, G.2    Chen, T.3
  • 5
    • 80255136781 scopus 로고    scopus 로고
    • Numerical methods for the quantification of the mechanical properties of crystal aggregates with morphologic and crystallographic texture
    • Böhlke, T., Fritzen, F., Jöchen, K., Tsotsova, R., 2009. Numerical methods for the quantification of the mechanical properties of crystal aggregates with morphologic and crystallographic texture. International Journal of Material Forming 2 (0), 915-917.
    • (2009) International Journal of Material Forming , vol.20 , pp. 915-917
    • Böhlke, T.1    Fritzen, F.2    Jöchen, K.3    Tsotsova, R.4
  • 8
    • 0012551604 scopus 로고
    • On Young's modulus for anisotropic media
    • Boulanger, P., Hayes, M., 1995. On Young's modulus for anisotropic media. Journal of Applied Mechanics 62 (3), 819-820.
    • (1995) Journal of Applied Mechanics , vol.62 , Issue.3 , pp. 819-820
    • Boulanger, P.1    Hayes, M.2
  • 9
    • 0037377521 scopus 로고    scopus 로고
    • Extrema of Young's modulus for cubic and transversely isotropic solids
    • DOI 10.1016/S0020-7683(02)00668-6
    • Cazzani, A., Rovati, M., 2003. Extrema of Young's modulus for cubic and transversely isotropic solids. International Journal of Solids and Structures 40 (7), 1713-1744. (Pubitemid 36357497)
    • (2003) International Journal of Solids and Structures , vol.40 , Issue.7 , pp. 1713-1744
    • Cazzani, A.1    Rovati, M.2
  • 10
    • 19944391642 scopus 로고    scopus 로고
    • Extrema of Young's modulus for elastic solids with tetragonal symmetry
    • DOI 10.1016/j.ijsolstr.2005.02.018, PII S002076830500079X
    • Cazzani, A., Rovati, M., 2005. Extrema of Young's modulus for elastic solids with tetragonal symmetry. International Journal of Solids and Structures 42 (18-19), 5057-5096. (Pubitemid 40753475)
    • (2005) International Journal of Solids and Structures , vol.42 , Issue.18-19 , pp. 5057-5096
    • Cazzani, A.1    Rovati, M.2
  • 11
    • 9144271775 scopus 로고
    • A critical evaluation for a class of micro-mechanics models
    • Christensen, R.M., 1990. A critical evaluation for a class of micro-mechanics models. Journal of the Mechanics and Physics of Solids 38 (3), 379-404.
    • (1990) Journal of the Mechanics and Physics of Solids , vol.38 , Issue.3 , pp. 379-404
    • Christensen, R.M.1
  • 12
    • 0018506068 scopus 로고
    • Solutions for effective shear properties in three phase sphere and cylinder models
    • DOI 10.1016/0022-5096(79)90032-2
    • Christensen, R.M., Lo, K.H., 1979. Solutions for effective shear properties in three phase sphere and cylinder models. Journal of the Mechanics and Physics of Solids 27 (4), 315-330. (Pubitemid 10433797)
    • (1979) Journal of the Mechanics and Physics of Solids , vol.27 , Issue.4 , pp. 315-330
    • Christensen, R.M.1    Lo, K.H.2
  • 13
    • 0030128871 scopus 로고    scopus 로고
    • A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites
    • DOI 10.1016/0022-5096(96)00007-5
    • Drugan, W.J., Willis, J.R., 1996. A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites. Journal of the Mechanics and Physics of Solids 44 (4), 497-524. (Pubitemid 126351704)
    • (1996) Journal of the Mechanics and Physics of Solids , vol.44 , Issue.4 , pp. 497-524
    • Drugan, W.J.1    Willis, J.R.2
  • 14
    • 0036374918 scopus 로고    scopus 로고
    • A further exploration of the interaction direct derivative (IDD) estimate for the effective properties of multiphase composites taking into account inclusion distribution
    • Du, D., Zheng, Q., 2002. A further exploration of the interaction direct derivative (IDD) estimate for the effective properties of multiphase composites taking into account inclusion distribution. Acta Mechanica 157, 61-80.
    • (2002) Acta Mechanica , vol.157 , pp. 61-80
    • Du, D.1    Zheng, Q.2
  • 16
    • 7444220687 scopus 로고    scopus 로고
    • On micromechanical modeling of particulate composites with inclusions of various shapes
    • Eroshkin, O., Tsukrov, I., 2005. On micromechanical modeling of particulate composites with inclusions of various shapes. International Journal of Solids and Structures 42, 409-427.
    • (2005) International Journal of Solids and Structures , vol.42 , pp. 409-427
    • Eroshkin, O.1    Tsukrov, I.2
  • 17
    • 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. Proceedings of the Royal Society of London 241 (1226), 376-396.
    • (1957) Proceedings of the Royal Society of London , vol.241 , Issue.1226 , pp. 376-396
    • Eshelby, J.D.1
  • 18
    • 68149100382 scopus 로고    scopus 로고
    • A simplified method for upscaling composite materials with high contrast of the conductivity
    • Ewing, R., Iliev, O., Lazarov, R., Rybak, I., Willems, J., 2009. A simplified method for upscaling composite materials with high contrast of the conductivity. SIAM Journal on Scientific Computing 31 (4), 2568-2586.
    • (2009) SIAM Journal on Scientific Computing , vol.31 , Issue.4 , pp. 2568-2586
    • Ewing, R.1    Iliev, O.2    Lazarov, R.3    Rybak, I.4    Willems, J.5
  • 19
    • 0026153447 scopus 로고
    • Asymmetry and the high concentration limit of the Mori-Tanaka effective medium theory
    • DOI 10.1016/0167-6636(91)90006-L
    • Ferrari, M., 1991. Asymmetry and the high concentration limit of the Mori-Tanaka effective medium theory. Mechanics of Materials 11 (3), 251-256. (Pubitemid 21681710)
    • (1991) Mechanics of Materials , vol.11 , Issue.3 , pp. 251-256
    • Ferrari Mauro1
  • 20
    • 34249925500 scopus 로고
    • On the numerical evaluation of Eshelby's tensor and its application to elastoplastic fibrous composites
    • Gavazzi, A.C., Lagoudas, D.C., 1990. On the numerical evaluation of Eshelby's tensor and its application to elastoplastic fibrous composites. Computational Mechanics 7 (1), 13-19.
    • (1990) Computational Mechanics , vol.7 , Issue.1 , pp. 13-19
    • Gavazzi, A.C.1    Lagoudas, D.C.2
  • 21
    • 84858082249 scopus 로고
    • Über eine verbesserte apparatur zur statischen bestimmung des drillungsmoduls von kristallstäben und ihre anwendung auf zink-einkristalle
    • ISSN: 1521-3889
    • Goens, E., 1933. Über eine verbesserte Apparatur zur statischen Bestimmung des Drillungsmoduls von Kristallstäben und ihre Anwendung auf Zink-Einkristalle. Annalen der Physik. ISSN: 1521-3889 408 (7). ISSN: 1521-3889, 793-809.
    • (1933) Annalen der Physik. ISSN: 1521-3889 , vol.408 , Issue.7 , pp. 793-809
    • Goens, E.1
  • 23
    • 0007544668 scopus 로고
    • A variational approach to the theory of the elastic behaviour of multiphase materials
    • Hashin, Z., Shtrikman, S., 1963. A variational approach to the theory of the elastic behaviour of multiphase materials. Journal of the Mechanics and Physics of Solids 11 (2), 127-140.
    • (1963) Journal of the Mechanics and Physics of Solids , vol.11 , Issue.2 , pp. 127-140
    • Hashin, Z.1    Shtrikman, S.2
  • 24
    • 0032305382 scopus 로고    scopus 로고
    • A review of homogenization and topology optimization I - Homogenization theory for media with periodic structure
    • PII S004579499800131X
    • Hassani, B., Hinton, E., 1998. A review of homogenization and topology optimization Iehomogenization theory for media with periodic structure. Computers & Structures 69 (6), 707-717. (Pubitemid 128409876)
    • (1998) Computers and Structures , vol.69 , Issue.6 , pp. 707-717
    • Hassani, B.1    Hinton, E.2
  • 25
    • 0032156282 scopus 로고    scopus 로고
    • On the extreme values of Young's modulus, the shear modulus, and Poisson's ratio for cubic materials
    • Hayes, M., Shuvalov, A., 1998. On the extreme values of Young's modulus, the shear modulus, and Poisson's ratio for cubic materials. Journal of Applied Mechanics 65 (3), 786-787. (Pubitemid 128651906)
    • (1998) Journal of Applied Mechanics, Transactions ASME , vol.65 , Issue.3 , pp. 786-787
    • Hayes, M.1    Shuvalov, A.2
  • 27
    • 11644304284 scopus 로고
    • A self-consistent mechanics of composite materials
    • Hill, R., 1965. A self-consistent mechanics of composite materials. Journal of the Mechanics and Physics of Solids 13 (4), 213-222.
    • (1965) Journal of the Mechanics and Physics of Solids , vol.13 , Issue.4 , pp. 213-222
    • Hill, R.1
  • 28
    • 0027188580 scopus 로고
    • Double-inclusion model and overall moduli of multi-phase composites
    • DOI 10.1016/0167-6636(93)90066-Z
    • Hori, M., Nemat-Nasser, S., 1993. Double-inclusion model and overall moduli of multi-phase composites. Mechanics of Materials 14 (3), 189-206. (Pubitemid 23640719)
    • (1993) Mechanics of Materials , vol.14 , Issue.3 , pp. 189-206
    • Hori Muneo1    Nemat-Nasser Sia2
  • 29
    • 84973797549 scopus 로고
    • Effective moduli of solids with cavities of various shapes
    • Kachanov, M., Tsukrov, I., Shafiro, B., 1994. Effective moduli of solids with cavities of various shapes. Applied Mechanics Reviews 47 (1), 151-174.
    • (1994) Applied Mechanics Reviews , vol.47 , Issue.1 , pp. 151-174
    • Kachanov, M.1    Tsukrov, I.2    Shafiro, B.3
  • 30
    • 43149087789 scopus 로고    scopus 로고
    • Solutions to the Pólya-SzegÖ conjecture and the weak Eshelby conjecture
    • Kang, H., Milton, G., 2008. Solutions to the Pólya-SzegÖ conjecture and the weak Eshelby conjecture. Archive for Rational Mechanics and Analysis 188 (1), 93-116.
    • (2008) Archive for Rational Mechanics and Analysis , vol.188 , Issue.1 , pp. 93-116
    • Kang, H.1    Milton, G.2
  • 31
    • 0037644851 scopus 로고    scopus 로고
    • Determination of the size of the representative volume element for random composites: Statistical and numerical approach
    • DOI 10.1016/S0020-7683(03)00143-4
    • Kanit, T., Forest, S., Galliet, I., Mounoury, V., Jeulin, D., 2003. Determination of the size of the representative volume element for random composites: Statistical and numerical approach. International Journal of Solids and Structures 40 (13-14), 3647-3679. (Pubitemid 36659117)
    • (2003) International Journal of Solids and Structures , vol.40 , Issue.13-14 , pp. 3647-3679
    • Kanit, T.1    Forest, S.2    Galliet, I.3    Mounoury, V.4    Jeulin, D.5
  • 32
    • 0035735505 scopus 로고    scopus 로고
    • Eshelby tensor of a polygonal inclusion and its special properties
    • DOI 10.1023/A:1014880629679
    • Kawashita, M., Nozaki, H., 2001. Eshelby tensor of a polygonal inclusion and its special properties. Journal of Elasticity 64 (1), 71-84. (Pubitemid 34434098)
    • (2001) Journal of Elasticity , vol.64 , Issue.1 , pp. 71-84
    • Kawashita, M.1    Nozaki, H.2
  • 33
    • 82055178934 scopus 로고    scopus 로고
    • Homogenization methods for multi-phase elastic composites: Comparisons and benchmarks
    • Klusemann, B., Svendsen, B., 2010. Homogenization methods for multi-phase elastic composites: Comparisons and benchmarks. TechnischeMechanik 30 (4), 374-386.
    • (2010) TechnischeMechanik , vol.30 , Issue.4 , pp. 374-386
    • Klusemann, B.1    Svendsen, B.2
  • 34
    • 84855684018 scopus 로고    scopus 로고
    • Microstructure based modeling of residual stresses in WC-12Co sprayed coatings
    • Klusemann, B., Denzer, R., Svendsen, B., 2012. Microstructure based modeling of residual stresses in WC-12Co sprayed coatings. Journal of Thermal Spray Technology 21 (1), 96-107.
    • (2012) Journal of Thermal Spray Technology , vol.21 , Issue.1 , pp. 96-107
    • Klusemann, B.1    Denzer, R.2    Svendsen, B.3
  • 36
    • 0035337892 scopus 로고    scopus 로고
    • Oof: An image-based finite-element analysis of material microstructures
    • DOI 10.1109/5992.919261
    • Langer, S.A., Fuller, E.R., Carter, W.C., 2001. OOF: An image-based finite-element analysis of material microstructures. Computing in Science and Engineering 3 (3), 15-23. (Pubitemid 33606204)
    • (2001) Computing in Science and Engineering , vol.3 , Issue.3 , pp. 15-23
    • Langer, S.A.1    Fuller Jr., E.R.2    Carter, W.C.3
  • 37
    • 0033078917 scopus 로고    scopus 로고
    • On micromechanics approximation for the effective thermoelastic moduli of multi-phase composite materials
    • Li, J., 1999. On micromechanics approximation for the effective thermoelastic moduli of multi-phase composite materials. Mechanics of Materials 31 (2), 149-159.
    • (1999) Mechanics of Materials , vol.31 , Issue.2 , pp. 149-159
    • Li, J.1
  • 40
    • 0031389544 scopus 로고    scopus 로고
    • On the shape of the Eshelby inclusions
    • Markenscoff, X., 1997. On the shape of the Eshelby inclusions. Journal of Elasticity 49 (2), 163-166.
    • (1997) Journal of Elasticity , vol.49 , Issue.2 , pp. 163-166
    • Markenscoff, X.1
  • 41
    • 79956337753 scopus 로고    scopus 로고
    • Eshebly tensors for a finite spherical domain with an axisymmetric inclusion
    • Mejak, G., 2011. Eshebly tensors for a finite spherical domain with an axisymmetric inclusion. European Journal of Mechanics e A/Solids 30 (4), 477-490.
    • (2011) European Journal of Mechanics e A/Solids , vol.30 , Issue.4 , pp. 477-490
    • Mejak, G.1
  • 43
    • 0346154866 scopus 로고    scopus 로고
    • A micromechanics-based nonlocal constitutive equation for elastic composites containing randomly oriented spheroidal heterogeneities
    • Monetto, I., Drugan, W.J., 2004. A micromechanics-based nonlocal constitutive equation for elastic composites containing randomly oriented spheroidal heterogeneities. Journal of the Mechanics and Physics of Solids 52 (2), 359-393.
    • (2004) Journal of the Mechanics and Physics of Solids , vol.52 , Issue.2 , pp. 359-393
    • Monetto, I.1    Drugan, W.J.2
  • 44
    • 68049112450 scopus 로고    scopus 로고
    • A micromechanics-based nonlocal constitutive equation and minimum RVE size estimates for random elastic composites containing aligned spheroidal heterogeneities
    • Monetto, I., Drugan, W., 2009. A micromechanics-based nonlocal constitutive equation and minimum RVE size estimates for random elastic composites containing aligned spheroidal heterogeneities. Journal of the Mechanics and Physics of Solids 57 (9), 1578-1595.
    • (2009) Journal of the Mechanics and Physics of Solids , vol.57 , Issue.9 , pp. 1578-1595
    • Monetto, I.1    Drugan, W.2
  • 45
    • 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 (5), 571-574.
    • (1973) Acta Metallurgica , vol.21 , Issue.5 , pp. 571-574
    • Mori, T.1    Tanaka, K.2
  • 46
    • 0242577121 scopus 로고    scopus 로고
    • Comparison of FFT-based methods for computing the response of composites with highly contrasted mechanical properties
    • Moulinec, H., Suquet, P., 2003. Comparison of FFT-based methods for computing the response of composites with highly contrasted mechanical properties. Physica B: Condensed Matter 338 (1-4), 58-60.
    • (2003) Physica B: Condensed Matter , vol.338 , Issue.1-4 , pp. 58-60
    • Moulinec, H.1    Suquet, P.2
  • 47
    • 0003875154 scopus 로고
    • second ed Martinus Nijhoff, The Hague, The Netherlands
    • Mura, T., 1982. Micromechanics of Defects in Solids, second ed. Martinus Nijhoff, The Hague, The Netherlands.
    • (1982) Micromechanics of Defects in Solids
    • Mura, T.1
  • 48
    • 0027593160 scopus 로고
    • Bounds and estimates of overall moduli of composites with periodic microstructure
    • Nemat-Nasser, S., Hori, M., 1993. Bounds and estimates of overall moduli of composites with periodic microstructure. Mechanics of Materials 15 (3), 163-181.
    • (1993) Mechanics of Materials , vol.15 , Issue.3 , pp. 163-181
    • Nemat-Nasser, S.1    Hori, M.2
  • 50
    • 41949142831 scopus 로고    scopus 로고
    • Modeling of the thermal conductivity and thermomechanical behavior of diamond reinforced composites
    • Nogales, S., Böhm, H.J., 2008. Modeling of the thermal conductivity and thermomechanical behavior of diamond reinforced composites. International Journal of Engineering Science 46 (6), 606-619.
    • (2008) International Journal of Engineering Science , vol.46 , Issue.6 , pp. 606-619
    • Nogales, S.1    Böhm, H.J.2
  • 51
    • 33746050381 scopus 로고    scopus 로고
    • Elastic fields in a polygon-shaped inclusion with uniform eigenstrains
    • Nozaki, H., Taya, M., 1997. Elastic fields in a polygon-shaped inclusion with uniform eigenstrains. Journal of Applied Mechanics 64 (3), 495-502.
    • (1997) Journal of Applied Mechanics , vol.64 , Issue.3 , pp. 495-502
    • Nozaki, H.1    Taya, M.2
  • 52
    • 0012887086 scopus 로고    scopus 로고
    • Elastic fields in a polyhedral inclusion with uniform Eigenstrains and related problems
    • Nozaki, H., Taya, M., 2001. Elastic fields in a polyhedral inclusion with uniform eigenstrains and related problems. Journal of Applied Mechanics 68 (3), 441-452. (Pubitemid 33715924)
    • (2001) Journal of Applied Mechanics, Transactions ASME , vol.68 , Issue.3 , pp. 441-452
    • Nozaki, H.1    Taya, M.2
  • 54
    • 10644269923 scopus 로고    scopus 로고
    • Fitting hyperelastic models to experimental data
    • Ogden, R.W., Saccomandi, G., Sgura, I., 2004. Fitting hyperelastic models to experimental data. Computational Mechanics 34 (6), 484-502.
    • (2004) Computational Mechanics , vol.34 , Issue.6 , pp. 484-502
    • Ogden, R.W.1    Saccomandi, G.2    Sgura, I.3
  • 55
    • 54749118609 scopus 로고    scopus 로고
    • Influence of boundary conditions on computed apparent elastic properties of cancellous bone
    • Pahr, D., Zysset, P., 2008. Influence of boundary conditions on computed apparent elastic properties of cancellous bone. Biomechanics and Modeling in Mechanobiology 7, 463-476.
    • (2008) Biomechanics and Modeling in Mechanobiology , vol.7 , pp. 463-476
    • Pahr, D.1    Zysset, P.2
  • 56
    • 2442659527 scopus 로고    scopus 로고
    • Mean-field homogenization of multi-phase thermo-elastic composites: A general framework and its validation
    • DOI 10.1016/j.compscitech.2003.11.009, PII S0266353803004494
    • Pierard, O., Friebel, C., Doghri, I., 2004. Mean-field homogenization of multi-phase thermo-elastic composites: A general framework and its validation. Composites Science and Technology 64 (10-11), 1587-1603. (Pubitemid 38673523)
    • (2004) Composites Science and Technology , vol.64 , Issue.10-11 , pp. 1587-1603
    • Pierard, O.1    Friebel, C.2    Doghri, I.3
  • 61
    • 0030393755 scopus 로고    scopus 로고
    • Eshelby's inclusion problem for polygons and polyhedra
    • DOI 10.1016/S0022-5096(96)00066-X, PII S002250969600066X
    • Rodin, G.J., 1996. Eshelby's inclusion problem for polygons and polyhedra. Journal of the Mechanics and Physics of Solids 44 (12), 1977-1995. (Pubitemid 126377552)
    • (1996) Journal of the Mechanics and Physics of Solids , vol.44 , Issue.12 , pp. 1977-1995
    • Rodin, G.J.1
  • 62
    • 0033149763 scopus 로고    scopus 로고
    • Analytic solution for Eshelby's problem of an inclusion of arbitrary shape in a plane or half-plane
    • Ru, C.Q., 1999. Analytic solution for Eshelby's problem of an inclusion of arbitrary shape in a plane or half-plane. Journal of Applied Mechanics 66 (2), 315-322.
    • (1999) Journal of Applied Mechanics , vol.66 , Issue.2 , pp. 315-322
    • Ru, C.Q.1
  • 63
    • 34548254333 scopus 로고    scopus 로고
    • Relations between compliances of inhomogeneities having the same shape but different elastic constants
    • DOI 10.1016/j.ijengsci.2007.05.004, PII S0020722507000493
    • Sevostianov, I., Kachanov, M., 2007. Relations between compliances of inhomogeneities having the same shape but different elastic constants. International Journal of Engineering Science 45 (10), 797-806. (Pubitemid 47331469)
    • (2007) International Journal of Engineering Science , vol.45 , Issue.10 , pp. 797-806
    • Sevostianov, I.1    Kachanov, M.2
  • 64
    • 44549085801 scopus 로고    scopus 로고
    • On computation of the compliance and stiffness contribution tensors of non ellipsoidal inhomogeneities
    • Sevostianov, I., Kachanov, M., Zohdi, T., 2008. On computation of the compliance and stiffness contribution tensors of non ellipsoidal inhomogeneities. International Journal of Solids and Structures 45 (16), 4375-4383.
    • (2008) International Journal of Solids and Structures , vol.45 , Issue.16 , pp. 4375-4383
    • Sevostianov, I.1    Kachanov, M.2    Zohdi, T.3
  • 65
    • 34250305817 scopus 로고    scopus 로고
    • An adaptive method for homogenization in orthotropic nonlinear elasticity
    • DOI 10.1016/j.cma.2007.03.017, PII S0045782507001466
    • Temizer, I., Wriggers, P., 2007. An adaptive method for homogenization in orthotropic nonlinear elasticity. Computer Methods in Applied Mechanics and Engineering 196 (35-36), 3409-3423. (Pubitemid 46917048)
    • (2007) Computer Methods in Applied Mechanics and Engineering , vol.196 , Issue.35-36 , pp. 3409-3423
    • Temizer, I.1    Wriggers, P.2
  • 66
    • 57649102944 scopus 로고    scopus 로고
    • Influence of the HVOF gas composition on the thermal spraying of WC-Co submicron powders (8 + 1 mm) to produce superfine structured cermet coatings
    • Tillmann, W., Vogli, E., Baumann, I., Matthaeus, G., Ostrowski, T., 2008. Influence of the HVOF gas composition on the thermal spraying of WC-Co submicron powders (8 + 1 mm) to produce superfine structured cermet coatings. Journal of Thermal Spray Technology 17 (5), 924-932.
    • (2008) Journal of Thermal Spray Technology , vol.17 , Issue.5 , pp. 924-932
    • Tillmann, W.1    Vogli, E.2    Baumann, I.3    Matthaeus, G.4    Ostrowski, T.5
  • 67
    • 78650694516 scopus 로고    scopus 로고
    • Analysis of the mechanical properties of an arc-sprayed WC-FeCSiMn coating: Nanoindentation and simulation
    • Tillmann,W., Klusemann, B., Nebel, J., Svendsen, B., 2011. Analysis of the mechanical properties of an arc-sprayed WC-FeCSiMn coating: Nanoindentation and simulation. Journal of Thermal Spray Technology 20 (1), 328-335.
    • (2011) Journal of Thermal Spray Technology , vol.20 , Issue.1 , pp. 328-335
    • Tillmann, W.1    Klusemann, B.2    Nebel, J.3    Svendsen, B.4
  • 68
    • 33747862408 scopus 로고
    • Random heterogeneous media: Microstructure and improved bounds on effective properties
    • Torquato, S., 1991. Random heterogeneous media: Microstructure and improved bounds on effective properties. Applied Mechanics Reviews 44 (2), 37-76.
    • (1991) Applied Mechanics Reviews , vol.44 , Issue.2 , pp. 37-76
    • Torquato, S.1
  • 69
    • 0032123489 scopus 로고    scopus 로고
    • Morphology and effective properties of disordered heterogeneous media
    • DOI 10.1016/S0020-7683(97)00142-X, PII S002076839700142X
    • Torquato, S., 1998. Morphology and effective properties of disordered heterogeneous media. International Journal of Solids and Structures 35 (19), 2385-2406. (Pubitemid 28426586)
    • (1998) International Journal of Solids and Structures , vol.35 , Issue.19 , pp. 2385-2406
    • Torquato, S.1
  • 71
    • 0026840226 scopus 로고
    • Improved bounds on the effective elastic moduli of random arrays of cylinders
    • Torquato, S., Lado, F., 1992. Improved bounds on the effective elastic moduli of random arrays of cylinders. Journal of Applied Mechanics 59 (1), 1-6.
    • (1992) Journal of Applied Mechanics , vol.59 , Issue.1 , pp. 1-6
    • Torquato, S.1    Lado, F.2
  • 72
    • 0035135372 scopus 로고    scopus 로고
    • Evaluation of the contribution of irregularly shaped holes into the effective elastic moduli by numerical conformal mapping
    • Tsukrov, I., Novak, J., 2001. Evaluation of the contribution of irregularly shaped holes into the effective elastic moduli by numerical conformal mapping. International Journal of Fracture 107 (2), 21-28.
    • (2001) International Journal of Fracture , vol.107 , Issue.2 , pp. 21-28
    • Tsukrov, I.1    Novak, J.2
  • 73
    • 4544345516 scopus 로고    scopus 로고
    • Effective elastic properties of solids with twodimensional inclusions of irregular shapes
    • Tsukrov, I., Novak, J., 2004. Effective elastic properties of solids with twodimensional inclusions of irregular shapes. International Journal of Solids and Structures 41 (24-25), 6905-6924.
    • (2004) International Journal of Solids and Structures , vol.41 , Issue.24-25 , pp. 6905-6924
    • Tsukrov, I.1    Novak, J.2
  • 74
    • 0025546810 scopus 로고
    • The theoretical connection between Mori-Tanaka's theory and the Hashin-Shtrikman-Walpole bounds
    • Weng, G.J., 1990. The theoretical connection between Mori-Tanaka's theory and the Hashin-Shtrikman-Walpole bounds. International Journal of Engineering Science 28 (11), 1111-1120.
    • (1990) International Journal of Engineering Science , vol.28 , Issue.11 , pp. 1111-1120
    • Weng, G.J.1
  • 75
    • 74149085524 scopus 로고    scopus 로고
    • An image morphing method for 3D reconstruction and FE-analysis of pore networks in thermal spray coatings
    • Wiederkehr, T., Klusemann, B., Gies, D., Müller, H., Svendsen, B., 2010. An image morphing method for 3D reconstruction and FE-analysis of pore networks in thermal spray coatings. Computational Materials Science 47 (4), 881-889.
    • (2010) Computational Materials Science , vol.47 , Issue.4 , pp. 881-889
    • Wiederkehr, T.1    Klusemann, B.2    Gies, D.3    Müller, H.4    Svendsen, B.5
  • 76
    • 79953232329 scopus 로고    scopus 로고
    • Fast, curvature-based prediction of rolling forces for porous media based on a series of detailed simulations
    • Wiederkehr, T., Klusemann, B., Müller, H., Svendsen, B., 2011. Fast, curvature-based prediction of rolling forces for porous media based on a series of detailed simulations. Advances in Engineering Software 42 (4), 142-150.
    • (2011) Advances in Engineering Software , vol.42 , Issue.4 , pp. 142-150
    • Wiederkehr, T.1    Klusemann, B.2    Müller, H.3    Svendsen, B.4
  • 77
    • 31344440622 scopus 로고    scopus 로고
    • Comparison of prediction on effective elastic property and shape optimization of truss material with periodic microstructure
    • DOI 10.1016/j.ijmecsci.2005.11.003, PII S0020740305002699
    • Yan, J., Cheng, G., Liu, S., Liu, L., 2006. Comparison of prediction on effective elastic property and shape optimization of truss material with periodic microstructure. International Journal of Mechanical Sciences 48 (4), 400-413. (Pubitemid 43145928)
    • (2006) International Journal of Mechanical Sciences , vol.48 , Issue.4 , pp. 400-413
    • Yan, J.1    Cheng, G.2    Liu, S.3    Liu, L.4
  • 79
    • 0035500955 scopus 로고    scopus 로고
    • An explicit and universally applicable estimate for the effective properties of multiphase composites which accounts for inclusion distribution
    • Zheng, Q.S., Du, D.X., 2001. An explicit and universally applicable estimate for the effective properties of multiphase composites which accounts for inclusion distribution. Journal of the Mechanics and Physics of Solids 49 (11), 2765-2788.
    • (2001) Journal of the Mechanics and Physics of Solids , vol.49 , Issue.11 , pp. 2765-2788
    • Zheng, Q.S.1    Du, D.X.2
  • 80
    • 28844492552 scopus 로고    scopus 로고
    • Irreducible structure, symmetry and average of Eshelby's tensor fields in isotropic elasticity
    • DOI 10.1016/j.jmps.2005.08.012, PII S0022509605001523
    • Zheng, Q., Zhao, Z., Du, D., 2006. Irreducible structure, symmetry and average of Eshelby's tensor fields in isotropic elasticity. Journal of the Mechanics and Physics of Solids 54 (2), 368-383. (Pubitemid 41780904)
    • (2006) Journal of the Mechanics and Physics of Solids , vol.54 , Issue.2 , pp. 368-383
    • Zheng, Q.-S.1    Zhao, Z.-H.2    Du, D.-X.3


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