메뉴 건너뛰기




Volumn 49, Issue 14, 2012, Pages 2006-2014

Homogenization of geomaterials containing voids by random fields and finite elements

Author keywords

Effective elastic properties; Elastic settlement; Foundation analysis; Homogenization; Probability and statistics; Random finite element method (RFEM); Representative volume element (RVE)

Indexed keywords

EFFECTIVE ELASTIC PROPERTY; ELASTIC SETTLEMENT; FOUNDATION ANALYSIS; HOMOGENIZATION; PROBABILITY AND STATISTICS; RANDOM FINITE ELEMENT METHOD (RFEM); REPRESENTATIVE VOLUME ELEMENT (RVE);

EID: 84861528905     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2012.04.006     Document Type: Article
Times cited : (50)

References (32)
  • 1
    • 0023360657 scopus 로고
    • New approach to the application of Mori-Tanaka's theory in composite materials
    • DOI 10.1016/0167-6636(87)90005-6
    • Y. Benveniste A new approach to the application of Mori-Tanaka theory in composite materials Mech. Mater. 6 1987 147 157 (Pubitemid 18530321)
    • (1987) Mechanics of Materials , vol.6 , Issue.2 , pp. 147-157
    • Benveniste, Y.1
  • 2
    • 8344236638 scopus 로고
    • On the elastic moduli of some heterogeneous material
    • Y. Budiansky On the elastic moduli of some heterogeneous material J. Mech. Phys. Solids 13 1965 223 227
    • (1965) J. Mech. Phys. Solids , vol.13 , pp. 223-227
    • Budiansky, Y.1
  • 3
    • 0018506068 scopus 로고
    • Solutions for effective shear properties in three phase sphere and cylinder models
    • DOI 10.1016/0022-5096(79)90032-2
    • R.M. Christensen, and K.H. Lo Solutions for effective shear properties in three phase sphere and cylinder models J. Mech. Phys. Solids 27 1979 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
  • 4
    • 5144221009 scopus 로고    scopus 로고
    • Two-dimension estimate of effective properties of solid with random voids
    • DOI 10.1016/j.tafmec.2004.08.006, PII S016784420400031X
    • F. Cosmi Two-dimension estimate of effective properties of solid with random voids Theor. Appl. Fract. Mech. 42 2004 183 189 (Pubitemid 39347721)
    • (2004) Theoretical and Applied Fracture Mechanics , vol.42 , Issue.2 , pp. 183-189
    • Cosmi, F.1
  • 7
    • 0033528037 scopus 로고    scopus 로고
    • Space-variant finite element reliability analysis
    • A. Der Kiureghian, and Y. Zhang Space-variant finite element reliability analysis Comput. Methods Appl. Mech. 168 1-4 1999 173 183
    • (1999) Comput. Methods Appl. Mech. , vol.168 , Issue.14 , pp. 173-183
    • Der Kiureghian, A.1    Zhang, Y.2
  • 8
    • 77955268295 scopus 로고    scopus 로고
    • Estimating geometrical and mechanical REV based on synthetic rock mass models at Brunswick Mine
    • K. Esmaieli, J. Hadjigeorgiou, and M. Grenon Estimating geometrical and mechanical REV based on synthetic rock mass models at Brunswick Mine Int. J. Rock Mech. Min. 47 2010 915 926
    • (2010) Int. J. Rock Mech. Min. , vol.47 , pp. 915-926
    • Esmaieli, K.1    Hadjigeorgiou, J.2    Grenon, M.3
  • 10
    • 0025468071 scopus 로고
    • Simulation of random fields via local average subdivision
    • G.A. Fenton, and E.H. Vanmarcke Simulation of random fields via local average subdivision J. Eng. Mech. 116 8 1990 1733 1749
    • (1990) J. Eng. Mech. , vol.116 , Issue.8 , pp. 1733-1749
    • Fenton, G.A.1    Vanmarcke, E.H.2
  • 11
    • 58149367440 scopus 로고    scopus 로고
    • An algorithm for computing the effective linear elastic properties of heterogeneous materials: Three-dimensional results for composites with equal phase Poisson ratios
    • E.J. Garboczi, and A.R. Day An algorithm for computing the effective linear elastic properties of heterogeneous materials: three-dimensional results for composites with equal phase Poisson ratios J. Mech. Phys. Solids 43 9 2005 1349 1362
    • (2005) J. Mech. Phys. Solids , vol.43 , Issue.9 , pp. 1349-1362
    • Garboczi, E.J.1    Day, A.R.2
  • 13
    • 80051890323 scopus 로고    scopus 로고
    • Probabilistic finite element analysis of a raft foundation supported by drilled shafts in karst
    • Juang, H.; et al. (Eds.) ASCE Geotechnical Special Publication No. 224, (CD-ROM)
    • Griffiths, D.V.; Dotson, D.; Huang, J.; 2011a. Probabilistic finite element analysis of a raft foundation supported by drilled shafts in karst. In: Juang, H.; et al. (Eds.), Proceedings of the GeoRisk 2011, ASCE Geotechnical Special Publication No. 224, (CD-ROM).
    • (2011) Proceedings of the GeoRisk 2011
    • Griffiths . D, V.1    Dotson, D.2    Huang, J.3
  • 15
    • 85024598889 scopus 로고
    • The elastic moduli of heterogeneous materials
    • Z. Hashin The elastic moduli of heterogeneous materials J. Appl. Mech. 29 1962 143 150
    • (1962) J. Appl. Mech. , vol.29 , pp. 143-150
    • Hashin, Z.1
  • 16
    • 6544226089 scopus 로고
    • Elastic properties of reinforced solids: Some theoretical principles
    • R. Hill Elastic properties of reinforced solids: some theoretical principles J. Mech. Phys. Solids 11 1963 357 372
    • (1963) J. Mech. Phys. Solids , vol.11 , pp. 357-372
    • Hill, R.1
  • 17
    • 11644304284 scopus 로고
    • A self-consistent mechanics of composite materials
    • R. Hill A self-consistent mechanics of composite materials J. Mech. Phys. Solids 13 1965 213 222
    • (1965) J. Mech. Phys. Solids , vol.13 , pp. 213-222
    • Hill, R.1
  • 18
    • 0033691439 scopus 로고    scopus 로고
    • Effective elastic properties of 2D solids with circular voids: Numerical simulations
    • N. Hu, B. Wang, G.W. Tan, Z.H. Yao, and W.F. Yuan Effective elastic properties of 2D solids with circular voids: numerical simulations Compos. Sci. Technol. 60 2000 1811 1823
    • (2000) Compos. Sci. Technol. , vol.60 , pp. 1811-1823
    • Hu, N.1    Wang, B.2    Tan, G.W.3    Yao, Z.H.4    Yuan, W.F.5
  • 19
    • 84872923151 scopus 로고    scopus 로고
    • Statistical homogenization of elastic properties of later age cement paste based on X-ray microtomography images
    • under review submitted for publication
    • Huang, J.S.; Krabbenhoft, K.; Lyamin, A.; under review. Statistical homogenization of elastic properties of later age cement paste based on X-ray microtomography images. Int. J. Solids Struct. submitted for publication.
    • Int. J. Solids Struct.
    • Huang . J, S.1    Krabbenhoft, K.2    Lyamin, A.3
  • 20
    • 0025898246 scopus 로고
    • Analysis of zig-zag array of circular holes in an infinite solid under uniaxial tension
    • M. Isida, and H. Igawa Analysis of zig-zag array of circular holes in an infinite solid under uniaxial tension Int. J. Solids Struct. 27 1991 849 864
    • (1991) Int. J. Solids Struct. , vol.27 , pp. 849-864
    • Isida, M.1    Igawa, H.2
  • 21
    • 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
    • T. Kanit, S. Forest, I. Galliet, V. Mounoury, and D. Jeulin Determination of the size of the representative volume element for random composites: statistical and numerical approach Int. J. Solids Struct. 40 2003 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
  • 22
    • 82055178934 scopus 로고    scopus 로고
    • Homogenization methods for multi-phase elastic composites comparisons and benchmarks
    • B. Klusemann, and B. Svendsen Homogenization methods for multi-phase elastic composites comparisons and benchmarks Tech. Mech. 30 4 2009 374 386
    • (2009) Tech. Mech. , vol.30 , Issue.4 , pp. 374-386
    • Klusemann, B.1    Svendsen, B.2
  • 23
    • 0022267667 scopus 로고
    • Estimating elastic constants and strength of discontinuous rock
    • P.H.S.W. Kulatilake Estimating elastic constants and strength of discontinuous rock J. Geotechnol. Eng. ASCE 111 1985 847 864
    • (1985) J. Geotechnol. Eng. ASCE , vol.111 , pp. 847-864
    • Kulatilake, P.H.S.W.1
  • 24
    • 77951125710 scopus 로고    scopus 로고
    • Effective elastic properties of randomly distributed void models for porous materials
    • B. Li, B. Wang, and S.R. Reid Effective elastic properties of randomly distributed void models for porous materials Int. J. Mech. Sci. 52 2010 726 732
    • (2010) Int. J. Mech. Sci. , vol.52 , pp. 726-732
    • Li, B.1    Wang, B.2    Reid, S.R.3
  • 25
    • 20444447045 scopus 로고    scopus 로고
    • On the minimum size of representative volume element: An experimental investigation
    • DOI 10.1177/0014485105053802
    • C. Liu On the minimum size of representative volume element: an experimental investigation Exp. Mech. 45 3 2005 238 243 (Pubitemid 40815506)
    • (2005) Experimental Mechanics , vol.45 , Issue.3 , pp. 238-243
    • Liu, C.1
  • 26
    • 0015625688 scopus 로고
    • Average stress in matrix and average elastic energy of materials with misfitting inclusions
    • T. Mori, and K. Tanaka Average stress in matrix and average elastic energy of materials with misfitting inclusions Acta Metall. 21 5 1973 571 574
    • (1973) Acta Metall. , vol.21 , Issue.5 , pp. 571-574
    • Mori, T.1    Tanaka, K.2
  • 27
    • 46449133051 scopus 로고    scopus 로고
    • Study of random simulation of columnar jointed rock mass and its representative elementary volume scale
    • Y. Ning, W.Y. Xu, W.T. Zheng, G.T. Meng, and A.C. Shi Study of random simulation of columnar jointed rock mass and its representative elementary volume scale Chinese J. Rock Mech. Eng. 27 6 2008 1202 1208
    • (2008) Chinese J. Rock Mech. Eng. , vol.27 , Issue.6 , pp. 1202-1208
    • Ning, Y.1    Xu, W.Y.2    Zheng, W.T.3    Meng, G.T.4    Shi, A.C.5
  • 29
    • 0000004138 scopus 로고
    • The viscosity of suspensions of rigid spheres
    • R. Roscoe The viscosity of suspensions of rigid spheres J. Appl. Phys. 3 1952 267
    • (1952) J. Appl. Phys. , vol.3 , pp. 267
    • Roscoe, R.1
  • 31
    • 0041954884 scopus 로고    scopus 로고
    • Stochastic finite elements and reliability, a state-of-the-art report
    • University of California, Berkeley
    • Sudret, B.; Der Kiureghian, A.; 2000. Stochastic finite elements and reliability, a state-of-the-art report, Technical Report No. UCB/SEMM-2000/08, University of California, Berkeley.
    • (2000) Technical Report No. UCB/SEMM-2000/08
    • Sudret, B.1    Der Kiureghian, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.