메뉴 건너뛰기




Volumn 340, Issue 4-5, 2012, Pages 230-246

Various estimates of Representative Volume Element sizes based on a statistical analysis of the apparent behavior of random linear composites

Author keywords

Apparent behavior; Fluctuations; Random linear composites; RVE size

Indexed keywords

COMPOSITE; ELASTICITY; ESTIMATION METHOD; FINITE VOLUME METHOD; STATISTICAL ANALYSIS;

EID: 84860697903     PISSN: 16310721     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crme.2012.02.007     Document Type: Short Survey
Times cited : (24)

References (32)
  • 1
    • 6544226089 scopus 로고
    • Elastic properties of reinforced solids: Some theoretical principles
    • Hill K. Elastic properties of reinforced solids: Some theoretical principles. Journal of the Mechanics and Physics of Solids 1963, 11:357-372.
    • (1963) Journal of the Mechanics and Physics of Solids , vol.11 , pp. 357-372
    • Hill, K.1
  • 2
    • 0020816026 scopus 로고
    • Analysis of composite materials
    • Hashin Z. Analysis of composite materials. Journal of Applied Mechanics 1983, 50:481-505.
    • (1983) Journal of Applied Mechanics , vol.50 , pp. 481-505
    • Hashin, Z.1
  • 3
    • 33644916379 scopus 로고    scopus 로고
    • Material spatial randomness: From statistical to representative volume element
    • Ostoja-Starzewski M. Material spatial randomness: From statistical to representative volume element. Probabilistic Engineering Mechanics 2006, 21:112-132.
    • (2006) Probabilistic Engineering Mechanics , vol.21 , pp. 112-132
    • Ostoja-Starzewski, M.1
  • 4
    • 0002197945 scopus 로고
    • Non-Homogeneous Media and Vibration Theory
    • Springer Verlag, Berlin-New York
    • Sanchez-Palencia E. Non-Homogeneous Media and Vibration Theory. Lecture Notes in Physics 1980, vol. 127. Springer Verlag, Berlin-New York.
    • (1980) Lecture Notes in Physics , vol.127
    • Sanchez-Palencia, E.1
  • 5
    • 0001689286 scopus 로고
    • Rigorous results in statistical mechanics in quantum field theory
    • North-Holland, Amsterdam, J. Fritz, J.L. Lebowitz, D. Szasz (Eds.)
    • Papanicolaou G.C., Varadhan S.R.S. Rigorous results in statistical mechanics in quantum field theory. Colloquia Mathematica Societatis Janos Bolyai 1978, 835-873. North-Holland, Amsterdam. J. Fritz, J.L. Lebowitz, D. Szasz (Eds.).
    • (1978) Colloquia Mathematica Societatis Janos Bolyai , pp. 835-873
    • Papanicolaou, G.C.1    Varadhan, S.R.S.2
  • 6
    • 0027100591 scopus 로고
    • On the homogenization and the simulation of random materials
    • Sab K. On the homogenization and the simulation of random materials. European Journal of Mechanics A/Solids 1992, 11:585-607.
    • (1992) European Journal of Mechanics A/Solids , vol.11 , pp. 585-607
    • Sab, K.1
  • 7
    • 0030128871 scopus 로고    scopus 로고
    • A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites
    • Drugan W.J., Willis J.R. A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites. Journal of the Mechanics and Physics of Solids 1996, 44:497-524.
    • (1996) Journal of the Mechanics and Physics of Solids , vol.44 , pp. 497-524
    • Drugan, W.J.1    Willis, J.R.2
  • 8
    • 0346154866 scopus 로고    scopus 로고
    • A micromechanics-based nonlocal constitutive equation for elastic composites containing randomly oriented spheroidal heterogeneities
    • Monetto L., Drugan W.J. A micromechanics-based nonlocal constitutive equation for elastic composites containing randomly oriented spheroidal heterogeneities. Journal of the Mechanics and Physics of Solids 2004, 52:359-393.
    • (2004) Journal of the Mechanics and Physics of Solids , vol.52 , pp. 359-393
    • Monetto, L.1    Drugan, W.J.2
  • 9
    • 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 L., Drugan W.J. 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 2009, 57:1578-1595.
    • (2009) Journal of the Mechanics and Physics of Solids , vol.57 , pp. 1578-1595
    • Monetto, L.1    Drugan, W.J.2
  • 10
    • 0031235429 scopus 로고    scopus 로고
    • Representative volume element size for elastic composites: A numerical study
    • Gusev A. Representative volume element size for elastic composites: A numerical study. Journal of the Mechanics and Physics of Solids 1997, 45:1449-1459.
    • (1997) Journal of the Mechanics and Physics of Solids , vol.45 , pp. 1449-1459
    • Gusev, A.1
  • 12
    • 0036778669 scopus 로고    scopus 로고
    • A numerical approximation to the elastic properties of sphere-reinforced composites
    • Segurado J., Llorca J. A numerical approximation to the elastic properties of sphere-reinforced composites. Journal of the Mechanics and Physics of Solids 2002, 50:2107-2121.
    • (2002) Journal of the Mechanics and Physics of Solids , vol.50 , pp. 2107-2121
    • Segurado, J.1    Llorca, J.2
  • 13
    • 0037644851 scopus 로고    scopus 로고
    • Determination of the size of the representative volume element for random composites: statistical and numerical
    • Kanit T., Forest S., Galliet I., Mounoury V., Jeulin D. Determination of the size of the representative volume element for random composites: statistical and numerical. International Journal of Solids and Structures 2003, 40:3647-3679.
    • (2003) International Journal of Solids and Structures , vol.40 , pp. 3647-3679
    • Kanit, T.1    Forest, S.2    Galliet, I.3    Mounoury, V.4    Jeulin, D.5
  • 14
    • 29844442777 scopus 로고    scopus 로고
    • Quantification of stochastically stable representative volumes for random heterogeneous materials
    • Gitman I.M., Gitman M.B., Askes H. Quantification of stochastically stable representative volumes for random heterogeneous materials. Archive of Applied Mechanics 2006, 75:79-92.
    • (2006) Archive of Applied Mechanics , vol.75 , pp. 79-92
    • Gitman, I.M.1    Gitman, M.B.2    Askes, H.3
  • 15
  • 16
    • 79953052620 scopus 로고    scopus 로고
    • Estimation of local stresses and elastic properties of a mortar sample by FFT computation of fields on a 3D image
    • Escoda J., Willot F., Jeulin D., Sanahuja J., Toulemonde C. Estimation of local stresses and elastic properties of a mortar sample by FFT computation of fields on a 3D image. Cement and Concrete Research 2011, 41:542-556.
    • (2011) Cement and Concrete Research , vol.41 , pp. 542-556
    • Escoda, J.1    Willot, F.2    Jeulin, D.3    Sanahuja, J.4    Toulemonde, C.5
  • 18
    • 84859753275 scopus 로고    scopus 로고
    • Apparent and effective mechanical properties of linear matrix-inclusion random composites: improved bounds for the effective behavior
    • in press, .
    • M. Salmi, F. Auslender, M. Bornert, M. Fogli, Apparent and effective mechanical properties of linear matrix-inclusion random composites: improved bounds for the effective behavior, International Journal of Solids and Structures (2012), in press, . http://dx.doi.org/10.1016/j.ijsolstr.2012.01.018.
    • (2012) International Journal of Solids and Structures.
    • Salmi, M.1    Auslender, F.2    Bornert, M.3    Fogli, M.4
  • 19
    • 0000926336 scopus 로고
    • Application of variational concepts to size effects in elastic heterogeneous bodies
    • Huet C. Application of variational concepts to size effects in elastic heterogeneous bodies. Journal of the Mechanics and Physics of Solids 1990, 38:813-841.
    • (1990) Journal of the Mechanics and Physics of Solids , vol.38 , pp. 813-841
    • Huet, C.1
  • 20
    • 33846203967 scopus 로고    scopus 로고
    • Micromechanics, macromechanics and constitutive modeling of the elasto-viscoplastic deformation rubber-toughened glassy polymers
    • Danielsson M., Parks D., Boyce M. Micromechanics, macromechanics and constitutive modeling of the elasto-viscoplastic deformation rubber-toughened glassy polymers. Journal of the Mechanics and Physics of Solids 2007, 55:533-561.
    • (2007) Journal of the Mechanics and Physics of Solids , vol.55 , pp. 533-561
    • Danielsson, M.1    Parks, D.2    Boyce, M.3
  • 23
    • 0001506121 scopus 로고
    • Analyse morphologique et approches variationnelles du comportement d'un milieu élastique hétérogène
    • Stolz C., Zaoui A. Analyse morphologique et approches variationnelles du comportement d'un milieu élastique hétérogène. Comptes Rendus de l'Académie des Sciences II 1991, 312:143-150.
    • (1991) Comptes Rendus de l'Académie des Sciences II , vol.312 , pp. 143-150
    • Stolz, C.1    Zaoui, A.2
  • 26
    • 40949143735 scopus 로고    scopus 로고
    • Localization of elastic deformation in strongly anisotropic, porous, linear materials with periodic microstructures: Exact solutions and dilute expansions
    • Willot F., Pellegrini Y.P., Castaneda P.P. Localization of elastic deformation in strongly anisotropic, porous, linear materials with periodic microstructures: Exact solutions and dilute expansions. Journal of the Mechanics and Physics of Solids 2008, 56:1245-1268.
    • (2008) Journal of the Mechanics and Physics of Solids , vol.56 , pp. 1245-1268
    • Willot, F.1    Pellegrini, Y.P.2    Castaneda, P.P.3
  • 27
    • 0000929676 scopus 로고
    • The determination of the elastic field of an ellipsoidal inclusion and related problems
    • Eshelby J.D. The determination of the elastic field of an ellipsoidal inclusion and related problems. Proceeding of the Royal Society A 1957, 421:376-396.
    • (1957) Proceeding of the Royal Society A , vol.421 , pp. 376-396
    • Eshelby, J.D.1
  • 28
    • 59049107317 scopus 로고    scopus 로고
    • Elastic behavior of composites containing Boolean random sets of inhomogeneities
    • Willot F., Jeulin D. Elastic behavior of composites containing Boolean random sets of inhomogeneities. International Journal of Engineering Science 2009, 47:313-324.
    • (2009) International Journal of Engineering Science , vol.47 , pp. 313-324
    • Willot, F.1    Jeulin, D.2
  • 30
    • 84860696162 scopus 로고    scopus 로고
    • Modélisation du comportement thermomécanique des combustibles à particules par une approche multi-échelle
    • PhD thesis, Université de Provence, 11 décembre.
    • V. Blanc, Modélisation du comportement thermomécanique des combustibles à particules par une approche multi-échelle, PhD thesis, Université de Provence, 11 décembre 2009.
    • (2009)
    • Blanc, V.1
  • 31
    • 0000798009 scopus 로고
    • Order relationships for boundary conditions effect in heterogeneous bodies smaller than the representative volume
    • Hazanov S., Huet C. Order relationships for boundary conditions effect in heterogeneous bodies smaller than the representative volume. Journal of the Mechanics and Physics of Solids 1994, 42:1995-2011.
    • (1994) Journal of the Mechanics and Physics of Solids , vol.42 , pp. 1995-2011
    • Hazanov, S.1    Huet, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.