메뉴 건너뛰기




Volumn 45, Issue 25-26, 2008, Pages 6518-6534

Green's operator for a periodic medium with traction-free boundary conditions and computation of the effective properties of thin plates

Author keywords

operator; Fast Fourier Transform; Green's function; Periodic thin plate homogenization

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; DIFFERENTIAL EQUATIONS; FAST FOURIER TRANSFORMS; GREEN'S FUNCTION; SOLUTIONS;

EID: 54149113528     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2008.08.015     Document Type: Article
Times cited : (13)

References (45)
  • 1
    • 0005508656 scopus 로고
    • Dynamique des composites élastiques périodiques
    • Auriault J.L., and Bonnet G. Dynamique des composites élastiques périodiques. Arch. Mech. 37 (1985) 269-284
    • (1985) Arch. Mech. , vol.37 , pp. 269-284
    • Auriault, J.L.1    Bonnet, G.2
  • 3
    • 0001610731 scopus 로고
    • Averaged characteristics of bodies with periodic structure (Russian)
    • Bakhvalov N.S. Averaged characteristics of bodies with periodic structure (Russian). Dokl. Akad. Nauk. SSSR. 218 (1974) 1046-1048
    • (1974) Dokl. Akad. Nauk. SSSR. , vol.218 , pp. 1046-1048
    • Bakhvalov, N.S.1
  • 5
    • 0027627240 scopus 로고
    • Some simple models for micromechanical investigations of fiber arrangement effects in MMCs
    • Böhm H.J., Rammerstorfer F.G., and Weissenbek E. Some simple models for micromechanical investigations of fiber arrangement effects in MMCs. Comput. Mater. Sci. 1 (1993) 177-194
    • (1993) Comput. Mater. Sci. , vol.1 , pp. 177-194
    • Böhm, H.J.1    Rammerstorfer, F.G.2    Weissenbek, E.3
  • 6
    • 34047183077 scopus 로고    scopus 로고
    • Effectives properties of elastic periodic composite media with fibers
    • Bonnet G. Effectives properties of elastic periodic composite media with fibers. J. Mech. Phys. Solids 55 (2007) 881-899
    • (2007) J. Mech. Phys. Solids , vol.55 , pp. 881-899
    • Bonnet, G.1
  • 9
    • 0026152270 scopus 로고
    • Deformation of metal-matrix composites with continuous fibers: geometrical effects of fiber distribution and shape
    • Brockenbrough J.R., Suresh S., and Wienecke H.A. Deformation of metal-matrix composites with continuous fibers: geometrical effects of fiber distribution and shape. Acta Metall. Mater. 39 (1991) 735-752
    • (1991) Acta Metall. Mater. , vol.39 , pp. 735-752
    • Brockenbrough, J.R.1    Suresh, S.2    Wienecke, H.A.3
  • 10
    • 0021306264 scopus 로고
    • Thin elastic and periodic plates
    • Caillerie D. Thin elastic and periodic plates. Math. Meth. Appl. Sci. 6 (1984) 159-191
    • (1984) Math. Meth. Appl. Sci. , vol.6 , pp. 159-191
    • Caillerie, D.1
  • 11
    • 0036496108 scopus 로고    scopus 로고
    • A multi-parameter homogenization study for modelling elastic masonry
    • Cecchi A., and Sab K. A multi-parameter homogenization study for modelling elastic masonry. Euro. J. Mech. A/Solids 21 (2002) 249-268
    • (2002) Euro. J. Mech. A/Solids , vol.21 , pp. 249-268
    • Cecchi, A.1    Sab, K.2
  • 12
    • 0344807142 scopus 로고    scopus 로고
    • Out of plane model for heterogenous periodic materials: the case of masonry
    • Cecchi A., and Sab K. Out of plane model for heterogenous periodic materials: the case of masonry. Euro. J. Mech. A/Solids 21 (2002) 715-746
    • (2002) Euro. J. Mech. A/Solids , vol.21 , pp. 715-746
    • Cecchi, A.1    Sab, K.2
  • 13
    • 1842431737 scopus 로고    scopus 로고
    • A comparison between a 3d discrete model and two homogenized plate models for periodic elastic brickword
    • Cecchi A., and Sab K. A comparison between a 3d discrete model and two homogenized plate models for periodic elastic brickword. Int. J. Solids Struct. 41 (2004) 2259-2276
    • (2004) Int. J. Solids Struct. , vol.41 , pp. 2259-2276
    • Cecchi, A.1    Sab, K.2
  • 14
    • 0037706741 scopus 로고    scopus 로고
    • Effective elastic properties of periodic composite medium
    • Cohen I., and Bergman D.J. Effective elastic properties of periodic composite medium. J. Mech. Phys. Solids 51 (2003) 1433-1457
    • (2003) J. Mech. Phys. Solids , vol.51 , pp. 1433-1457
    • Cohen, I.1    Bergman, D.J.2
  • 15
    • 38749100910 scopus 로고    scopus 로고
    • Limit analysis of multi-layered plates. Part I: The homogenized Love-Kirchhoff model
    • Dallot J., and Sab K. Limit analysis of multi-layered plates. Part I: The homogenized Love-Kirchhoff model. J. Mech. Phys. Solids 56 (2008) 581-612
    • (2008) J. Mech. Phys. Solids , vol.56 , pp. 581-612
    • Dallot, J.1    Sab, K.2
  • 16
    • 38749100910 scopus 로고    scopus 로고
    • Limit analysis of multi-layered plates.
    • Dallot J., and Sab K. Limit analysis of multi-layered plates. J. Mech. Phys. Solids 56 (2008) 561-580
    • (2008) J. Mech. Phys. Solids , vol.56 , pp. 561-580
    • Dallot, J.1    Sab, K.2
  • 17
    • 0000561058 scopus 로고
    • Homogénéisation d'une plaque mince en flexion périodique et symétrique
    • Duvaut G., and Metellus A.M. Homogénéisation d'une plaque mince en flexion périodique et symétrique. C.R. Acad. Sci. Paris A 283 (1976) 947-950
    • (1976) C.R. Acad. Sci. Paris A , vol.283 , pp. 947-950
    • Duvaut, G.1    Metellus, A.M.2
  • 18
    • 0032625121 scopus 로고    scopus 로고
    • A fast numerical scheme for computing the response of composites using grid refinement
    • Eyre D.J., and Milton G.W. A fast numerical scheme for computing the response of composites using grid refinement. Eur. Phys. J. AP. 6 (1999) 41-47
    • (1999) Eur. Phys. J. AP. , vol.6 , pp. 41-47
    • Eyre, D.J.1    Milton, G.W.2
  • 20
    • 0031235429 scopus 로고    scopus 로고
    • Representative volume element size for elastic composites: a numerical study
    • Gusev A.A. Representative volume element size for elastic composites: a numerical study. J. Mech. Phys. Solids 45 (1997) 1449-1459
    • (1997) J. Mech. Phys. Solids , vol.45 , pp. 1449-1459
    • Gusev, A.A.1
  • 21
    • 0020272260 scopus 로고
    • Composites with periodic microstructure
    • Iwakuma T., and Nemat-Nasser S. Composites with periodic microstructure. Comput. Struct. 16 (1983) 13-19
    • (1983) Comput. Struct. , vol.16 , pp. 13-19
    • Iwakuma, T.1    Nemat-Nasser, S.2
  • 22
    • 12444338936 scopus 로고    scopus 로고
    • Fourier series for computing the response of periodic structures with arbitrary stiffness distribution
    • Kaßbohm S., Müller W.H., and Feßler R. Fourier series for computing the response of periodic structures with arbitrary stiffness distribution. Comput. Mater. Sci. 32 (2005) 387-391
    • (2005) Comput. Mater. Sci. , vol.32 , pp. 387-391
    • Kaßbohm, S.1    Müller, W.H.2    Feßler, R.3
  • 23
    • 33746886214 scopus 로고    scopus 로고
    • Improved approximations of fourier coefficients for computing the response of periodic structures with arbitrary stiffness distribution
    • Kaßbohm S., Müller W.H., and Feßler R. Improved approximations of fourier coefficients for computing the response of periodic structures with arbitrary stiffness distribution. Comput. Mater. Sci. 37 (2006) 90-93
    • (2006) Comput. Mater. Sci. , vol.37 , pp. 90-93
    • Kaßbohm, S.1    Müller, W.H.2    Feßler, R.3
  • 24
    • 0021156618 scopus 로고
    • A new model for thin plates with rapidly varying thickness
    • Kohn R., and Vogelius M. A new model for thin plates with rapidly varying thickness. Int. J. Solids Struct. 20 (1984) 333-350
    • (1984) Int. J. Solids Struct. , vol.20 , pp. 333-350
    • Kohn, R.1    Vogelius, M.2
  • 27
    • 0028533180 scopus 로고
    • Formulas for the stiffness of composites with periodic microstructure
    • Luciano R., and Barbero E.J. Formulas for the stiffness of composites with periodic microstructure. Int. J. Solids Struct. 31 (1994) 2933-2944
    • (1994) Int. J. Solids Struct. , vol.31 , pp. 2933-2944
    • Luciano, R.1    Barbero, E.J.2
  • 28
    • 0032686773 scopus 로고    scopus 로고
    • Effective properties of composite materials with periodic microstructure: a computational approach
    • Michel J.C., Moulinec H., and Suquet P. Effective properties of composite materials with periodic microstructure: a computational approach. Compu. Meth. Appl. Mech. Eng. 172 (1999) 109-143
    • (1999) Compu. Meth. Appl. Mech. Eng. , vol.172 , pp. 109-143
    • Michel, J.C.1    Moulinec, H.2    Suquet, P.3
  • 29
    • 0035840307 scopus 로고    scopus 로고
    • A computational scheme for linear and non-linear composites with arbitrary phase contrast
    • Michel J.C., Moulinec H., and Suquet P. A computational scheme for linear and non-linear composites with arbitrary phase contrast. Int. J. Numer. Meth. Eng. 52 (2001) 139-160
    • (2001) Int. J. Numer. Meth. Eng. , vol.52 , pp. 139-160
    • Michel, J.C.1    Moulinec, H.2    Suquet, P.3
  • 31
    • 0001752546 scopus 로고
    • A fast numerical method for computing the linear and nonlinear properties of composites
    • Moulinec H., and Suquet P. A fast numerical method for computing the linear and nonlinear properties of composites. C.R. Acad. Sci. 318 (1994) 1417-1423
    • (1994) C.R. Acad. Sci. , vol.318 , pp. 1417-1423
    • Moulinec, H.1    Suquet, P.2
  • 32
    • 0032048952 scopus 로고    scopus 로고
    • A numerical method for computing the overall response of nonlinear composites with complex microstructure
    • Moulinec H., and Suquet P. A numerical method for computing the overall response of nonlinear composites with complex microstructure. Compu. Meth. Appl. Mech. Eng. 157 (1998) 69-94
    • (1998) Compu. Meth. Appl. Mech. Eng. , vol.157 , pp. 69-94
    • Moulinec, H.1    Suquet, P.2
  • 33
    • 0242577121 scopus 로고    scopus 로고
    • Comparison of FFT-based methods for computing the response of composites with highly contrasted mechanical properties
    • Moulinec H., and Suquet P. Comparison of FFT-based methods for computing the response of composites with highly contrasted mechanical properties. Physica B 338 (2003) 58-60
    • (2003) Physica B , vol.338 , pp. 58-60
    • Moulinec, H.1    Suquet, P.2
  • 35
    • 0036714013 scopus 로고    scopus 로고
    • Stress/strain computation in heterogenous bodies with discrete Fourier transforms - different approaches
    • Neumann S., Herrmann K.P., and Müller W.H. Stress/strain computation in heterogenous bodies with discrete Fourier transforms - different approaches. Compu. Mater. Sci. 25 (2002) 151-158
    • (2002) Compu. Mater. Sci. , vol.25 , pp. 151-158
    • Neumann, S.1    Herrmann, K.P.2    Müller, W.H.3
  • 36
    • 0034828202 scopus 로고    scopus 로고
    • Fourier transforms - an alternative to finite elements for elastic-plastic stress-strain analyses of heterogeneous materials
    • Neumann S., Herrmann K.P., and Müller W.H. Fourier transforms - an alternative to finite elements for elastic-plastic stress-strain analyses of heterogeneous materials. Acta Mech. 149 (2001) 149-160
    • (2001) Acta Mech. , vol.149 , pp. 149-160
    • Neumann, S.1    Herrmann, K.P.2    Müller, W.H.3
  • 37
    • 12844250898 scopus 로고    scopus 로고
    • Periodization of random media and representative volume element size for linear composites
    • Sab K., and Nedjar B. Periodization of random media and representative volume element size for linear composites. C. R. Mécanique 333 (2005) 187-195
    • (2005) C. R. Mécanique , vol.333 , pp. 187-195
    • Sab, K.1    Nedjar, B.2
  • 38
    • 0344629175 scopus 로고    scopus 로고
    • Yield design of thin periodic plates by a homogenization technique and an application to masonry wall
    • Sab K. Yield design of thin periodic plates by a homogenization technique and an application to masonry wall. C. R. Mécanique 331 (2003) 641-646
    • (2003) C. R. Mécanique , vol.331 , pp. 641-646
    • Sab, K.1
  • 39
    • 0016048255 scopus 로고
    • Comportement local et macroscopique d'un type de milieux physiques hétérogènes
    • Sanchez-Palencia E. Comportement local et macroscopique d'un type de milieux physiques hétérogènes. Int. J. Eng. Sci. 12 (1974) 331-351
    • (1974) Int. J. Eng. Sci. , vol.12 , pp. 331-351
    • Sanchez-Palencia, E.1
  • 42
    • 0001483623 scopus 로고
    • Une méthode simplifiée pour le calcul des propriétés élastiques de matériaux hétérogènes à structure périodique
    • Suquet P. Une méthode simplifiée pour le calcul des propriétés élastiques de matériaux hétérogènes à structure périodique. C. R. Acad. Sci. 311 (1990) 769-774
    • (1990) C. R. Acad. Sci. , vol.311 , pp. 769-774
    • Suquet, P.1
  • 43
    • 0017502751 scopus 로고
    • Bounds and self-consistent estimates for the overall properties of anisotropic composites
    • Willis J.R. Bounds and self-consistent estimates for the overall properties of anisotropic composites. J. Mech. Phys. Solids. 25 (1977) 185-202
    • (1977) J. Mech. Phys. Solids. , vol.25 , pp. 185-202
    • Willis, J.R.1
  • 44
    • 0019265450 scopus 로고
    • A polarization approach to the scattering of elastic waves. I. Scattering by a single inclusion
    • Willis J.R. A polarization approach to the scattering of elastic waves. I. Scattering by a single inclusion. J. Mech. Phys. Solids 28 (1980) 287-305
    • (1980) J. Mech. Phys. Solids , vol.28 , pp. 287-305
    • Willis, J.R.1
  • 45
    • 0019697033 scopus 로고
    • Variational and related methods for the overall properties of composites
    • Willis J.R. Variational and related methods for the overall properties of composites. Advanced in Applied Mechanics. 21 (1981) 1-78
    • (1981) Advanced in Applied Mechanics. , vol.21 , pp. 1-78
    • Willis, J.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.