메뉴 건너뛰기




Volumn 47, Issue 3-4, 2010, Pages 383-397

Effective longitudinal shear moduli of periodic fibre-reinforced composites with radially-graded fibres

Author keywords

Analytical solutions; Asymptotic homogenization; Complex variable; Fibre reinforced composite materials; Functionally graded materials; Micromechanics; Stress concentrations

Indexed keywords

ANALYTICAL SOLUTIONS; ASYMPTOTIC HOMOGENIZATION; COMPLEX VARIABLE; FIBRE REINFORCED COMPOSITES; FIBRE-REINFORCED COMPOSITE MATERIALS;

EID: 70949100930     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2009.10.004     Document Type: Article
Times cited : (17)

References (49)
  • 2
    • 33646187763 scopus 로고    scopus 로고
    • On a hierarchy of models for electrical conduction in biological tissues
    • Amar M., Andreucci D., Bisegna P., and Gianni R. On a hierarchy of models for electrical conduction in biological tissues. Math. Meth. Appl. Sci. 29 (2006) 767-787
    • (2006) Math. Meth. Appl. Sci. , vol.29 , pp. 767-787
    • Amar, M.1    Andreucci, D.2    Bisegna, P.3    Gianni, R.4
  • 5
    • 0035371027 scopus 로고    scopus 로고
    • Imperfect soft and stiff interfaces in two-dimensional elasticity
    • Benveniste Y., and Miloh T. Imperfect soft and stiff interfaces in two-dimensional elasticity. Mech. Mater. 33 (2001) 309-323
    • (2001) Mech. Mater. , vol.33 , pp. 309-323
    • Benveniste, Y.1    Miloh, T.2
  • 6
    • 0032143639 scopus 로고    scopus 로고
    • Asymptotic models of dilute composites with imperfectly bonded inclusions
    • Bigoni D., Serkov S.K., Valentini M., and Movchan A.B. Asymptotic models of dilute composites with imperfectly bonded inclusions. Int. J. Solids Struct. 35 24 (1998) 3239-3258
    • (1998) Int. J. Solids Struct. , vol.35 , Issue.24 , pp. 3239-3258
    • Bigoni, D.1    Serkov, S.K.2    Valentini, M.3    Movchan, A.B.4
  • 7
    • 44449106980 scopus 로고    scopus 로고
    • A simple formula for the effective complex conductivity of periodic fibrous composites with interfacial impedance and applications to biological tissues
    • 115506 (13pp)
    • Bisegna P., and Caselli F. A simple formula for the effective complex conductivity of periodic fibrous composites with interfacial impedance and applications to biological tissues. J. Phys. D 41 (2008) 115506 (13pp)
    • (2008) J. Phys. D , vol.41
    • Bisegna, P.1    Caselli, F.2
  • 8
    • 34047183077 scopus 로고    scopus 로고
    • Effective properties of elastic periodic composite media with fibers
    • Bonnet G. Effective 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
    • 23944517287 scopus 로고    scopus 로고
    • Transport properties of composites consisting of periodic arrays of exponentially graded cylinders with cylindrically orthotropic materials
    • Chen T., and Kuo H.-Y. Transport properties of composites consisting of periodic arrays of exponentially graded cylinders with cylindrically orthotropic materials. J. Appl. Phys. 98 (2005) 033716
    • (2005) J. Appl. Phys. , vol.98 , pp. 033716
    • Chen, T.1    Kuo, H.-Y.2
  • 11
    • 62649150155 scopus 로고    scopus 로고
    • Micromechanics and structural response of functionally graded, particulate-matrix, fiber-reinforced composites
    • Genin G.M., and Birman V. Micromechanics and structural response of functionally graded, particulate-matrix, fiber-reinforced composites. Int. J. Solids Struct. 46 (2009) 2136-2150
    • (2009) Int. J. Solids Struct. , vol.46 , pp. 2136-2150
    • Genin, G.M.1    Birman, V.2
  • 12
    • 0026820184 scopus 로고
    • Effects of contact resistance on thermal conductivity of composite media with a periodic structure
    • Gu G., and Liu Z. Effects of contact resistance on thermal conductivity of composite media with a periodic structure. J. Phys. D 25 (1992) 249-255
    • (1992) J. Phys. D , vol.25 , pp. 249-255
    • Gu, G.1    Liu, Z.2
  • 13
    • 0141745773 scopus 로고    scopus 로고
    • Conductivities of dilute suspensions of graded fibers
    • Gu G.Q., and Yu K.W. Conductivities of dilute suspensions of graded fibers. J. Appl. Phys. 94 (2003) 3376-3383
    • (2003) J. Appl. Phys. , vol.94 , pp. 3376-3383
    • Gu, G.Q.1    Yu, K.W.2
  • 14
    • 0026173168 scopus 로고
    • The spherical inclusion with imperfect interface
    • Hashin Z. The spherical inclusion with imperfect interface. J. Appl. Mech. 58 (1991) 444-449
    • (1991) J. Appl. Mech. , vol.58 , pp. 444-449
    • Hashin, Z.1
  • 15
    • 0036887779 scopus 로고    scopus 로고
    • Thin interphase/imperfect interface in elasticity with application to coated fiber composites
    • Hashin Z. Thin interphase/imperfect interface in elasticity with application to coated fiber composites. J. Mech. Phys. Solids 50 (2002) 2509-2537
    • (2002) J. Mech. Phys. Solids , vol.50 , pp. 2509-2537
    • Hashin, Z.1
  • 16
    • 0029325032 scopus 로고
    • An integral equation method for elastostatics of periodic composites
    • Helsing J. An integral equation method for elastostatics of periodic composites. J. Mech. Phys. Solids 43 (1995) 815-828
    • (1995) J. Mech. Phys. Solids , vol.43 , pp. 815-828
    • Helsing, J.1
  • 17
    • 0027206307 scopus 로고
    • n-Layered inclusion-based micromechanical modeling
    • Herve E., and Zaoui A. n-Layered inclusion-based micromechanical modeling. Int. J. Eng. Sci. 31 (1993) 1-10
    • (1993) Int. J. Eng. Sci. , vol.31 , pp. 1-10
    • Herve, E.1    Zaoui, A.2
  • 18
    • 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
  • 19
    • 0242526807 scopus 로고    scopus 로고
    • A rigorous analytical method for doubly periodic cylindrical inclusions under longitudinal shear and its applications
    • Jiang C.P., Xu Y.L., Cheung Y.K., and Lo S.H. A rigorous analytical method for doubly periodic cylindrical inclusions under longitudinal shear and its applications. Mech. Mater. 36 (2004) 225-237
    • (2004) Mech. Mater. , vol.36 , pp. 225-237
    • Jiang, C.P.1    Xu, Y.L.2    Cheung, Y.K.3    Lo, S.H.4
  • 21
    • 0024772730 scopus 로고
    • Elastic and thermoelastic characteristics of composites reinforced with unidirectional fibre layers
    • Kanaun S.K., and Kudriavtseva L.T. Elastic and thermoelastic characteristics of composites reinforced with unidirectional fibre layers. Appl. Math. Mech. 53 (1989) 628-636
    • (1989) Appl. Math. Mech. , vol.53 , pp. 628-636
    • Kanaun, S.K.1    Kudriavtseva, L.T.2
  • 22
    • 0002222342 scopus 로고
    • The self-consistent field method in mechanics of matrix composite materials
    • Markov K.Z. (Ed), World Scientific Publisher, Singapore
    • Kanaun S.K., and Levin V.M. The self-consistent field method in mechanics of matrix composite materials. In: Markov K.Z. (Ed). Advances in Mathematical Modelling of Composite Materials (1994), World Scientific Publisher, Singapore 1-58
    • (1994) Advances in Mathematical Modelling of Composite Materials , pp. 1-58
    • Kanaun, S.K.1    Levin, V.M.2
  • 23
    • 0020191411 scopus 로고
    • Elastostatic resonances - a new approach to the calculation of the effective elastic constants of composites
    • Kantor Y., and Bergman D.J. Elastostatic resonances - a new approach to the calculation of the effective elastic constants of composites. J. Mech. Phys. Solids 30 (1982) 355-376
    • (1982) J. Mech. Phys. Solids , vol.30 , pp. 355-376
    • Kantor, Y.1    Bergman, D.J.2
  • 24
    • 47049108538 scopus 로고    scopus 로고
    • Stress concentration and effective stiffness of aligned fiber reinforced composite with anisotropic constituents
    • Kushch V.I., Sevostianov I., and Mishnaevsky Jr. L. Stress concentration and effective stiffness of aligned fiber reinforced composite with anisotropic constituents. Int. J. Solids Struct. 45 (2008) 5103-5117
    • (2008) Int. J. Solids Struct. , vol.45 , pp. 5103-5117
    • Kushch, V.I.1    Sevostianov, I.2    Mishnaevsky Jr., L.3
  • 25
    • 0020006283 scopus 로고
    • Homogenized constitutive law for a partially cohesive composite material
    • Lene F., and Leguillon D. Homogenized constitutive law for a partially cohesive composite material. Int. J. Solids Struct. 18 (1982) 443-458
    • (1982) Int. J. Solids Struct. , vol.18 , pp. 443-458
    • Lene, F.1    Leguillon, D.2
  • 26
    • 0000839568 scopus 로고    scopus 로고
    • Effect of the interphase zone on the bulk modulus of a particulate composite
    • Lutz M.P., and Zimmerman R.W. Effect of the interphase zone on the bulk modulus of a particulate composite. ASME J. Appl. Mech. 8 63 (1996) 855-861
    • (1996) ASME J. Appl. Mech. , vol.8 , Issue.63 , pp. 855-861
    • Lutz, M.P.1    Zimmerman, R.W.2
  • 27
    • 7444264134 scopus 로고    scopus 로고
    • Effect of an inhomogeneous interphase zone on the bulk modulus and conductivity of a particulate composite
    • Lutz M.P., and Zimmerman R.W. Effect of an inhomogeneous interphase zone on the bulk modulus and conductivity of a particulate composite. Int. J. Solids Struct. 42 (2005) 429-437
    • (2005) Int. J. Solids Struct. , vol.42 , pp. 429-437
    • Lutz, M.P.1    Zimmerman, R.W.2
  • 28
    • 0036477902 scopus 로고    scopus 로고
    • On functionally graded balls and cones
    • Martin P.A. On functionally graded balls and cones. J. Eng. Math. 42 (2002) 133-142
    • (2002) J. Eng. Math. , vol.42 , pp. 133-142
    • Martin, P.A.1
  • 29
    • 0028380142 scopus 로고
    • Asymptotic homogenization of elastic composite with a regular structure
    • Meguid S.A., and Kalamkarov A.L. Asymptotic homogenization of elastic composite with a regular structure. Int. J. Solids Struct. 31 3 (1994) 303-316
    • (1994) Int. J. Solids Struct. , vol.31 , Issue.3 , pp. 303-316
    • Meguid, S.A.1    Kalamkarov, A.L.2
  • 30
    • 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. Comput. Meth. Appl. Mech. Eng. 172 (1999) 109-143
    • (1999) Comput. Meth. Appl. Mech. Eng. , vol.172 , pp. 109-143
    • Michel, J.C.1    Moulinec, H.2    Suquet, P.3
  • 32
    • 29544434721 scopus 로고
    • Martinus Nijhoff Publishers, Dordrecht
    • Mura T. Micromechanics of Defects in Solids. second ed. Mechanics of Elastic and Inelastic Solids (1987), Martinus Nijhoff Publishers, Dordrecht
    • (1987) Mechanics of Elastic and Inelastic Solids
    • Mura, T.1
  • 33
    • 0001456019 scopus 로고
    • Transport properties of a three-phase composite material: the square array of coated cylinders
    • Nicorovici N.A., McPhedran R.C., and Milton G.W. Transport properties of a three-phase composite material: the square array of coated cylinders. Proc. Roy. Soc. Lond. A 442 (1993) 599-620
    • (1993) Proc. Roy. Soc. Lond. A , vol.442 , pp. 599-620
    • Nicorovici, N.A.1    McPhedran, R.C.2    Milton, G.W.3
  • 34
    • 33744524282 scopus 로고    scopus 로고
    • Dynamic homogenization in periodic fibre reinforced media. Quasi-static limit for SH waves
    • Parnell W.J., and Abrahams I.D. Dynamic homogenization in periodic fibre reinforced media. Quasi-static limit for SH waves. Wave Motion 43 (2006) 474-498
    • (2006) Wave Motion , vol.43 , pp. 474-498
    • Parnell, W.J.1    Abrahams, I.D.2
  • 36
    • 0000544643 scopus 로고
    • On the influence of obstacles arranged in rectangular order upon the properties of a medium
    • Rayleigh L. On the influence of obstacles arranged in rectangular order upon the properties of a medium. Philos. Mag. 34 (1892) 481-502
    • (1892) Philos. Mag. , vol.34 , pp. 481-502
    • Rayleigh, L.1
  • 37
    • 0031213139 scopus 로고    scopus 로고
    • Micromechanical models for graded composite materials
    • Reiter T., Dvorak G.J., and Tvergaard V. Micromechanical models for graded composite materials. J. Mech. Phys. Solids 45 (1997) 1281-1302
    • (1997) J. Mech. Phys. Solids , vol.45 , pp. 1281-1302
    • Reiter, T.1    Dvorak, G.J.2    Tvergaard, V.3
  • 38
    • 17044454326 scopus 로고    scopus 로고
    • Closed-form expressions for the effective coefficients of a fiber-reinforced composite with transversely isotropic constituents - I. Elastic and square symmetry
    • Rodríguez-Ramos R., Sabina F.J., Guinovart-Díaz R., and Bravo-Castillero J. Closed-form expressions for the effective coefficients of a fiber-reinforced composite with transversely isotropic constituents - I. Elastic and square symmetry. Mech. Mater. 33 (2001) 223-235
    • (2001) Mech. Mater. , vol.33 , pp. 223-235
    • Rodríguez-Ramos, R.1    Sabina, F.J.2    Guinovart-Díaz, R.3    Bravo-Castillero, J.4
  • 40
    • 33750972010 scopus 로고    scopus 로고
    • Effect of interphase layers on the overall elastic and conductive properties of matrix composites. Applications to nanosize inclusion
    • Sevostianov I., and Kachanov M. Effect of interphase layers on the overall elastic and conductive properties of matrix composites. Applications to nanosize inclusion. Int. J. Solids Struct. 44 (2007) 1304-1315
    • (2007) Int. J. Solids Struct. , vol.44 , pp. 1304-1315
    • Sevostianov, I.1    Kachanov, M.2
  • 41
    • 41849086581 scopus 로고    scopus 로고
    • Numerical evaluation of the thermomechanical effective properties of a functionally graded material using the homogenization method
    • Shabana Y.M., and Noda N. Numerical evaluation of the thermomechanical effective properties of a functionally graded material using the homogenization method. Int. J. Solids Struct. 45 (2008) 3494-3506
    • (2008) Int. J. Solids Struct. , vol.45 , pp. 3494-3506
    • Shabana, Y.M.1    Noda, N.2
  • 42
    • 0037369393 scopus 로고    scopus 로고
    • Effective elastic moduli of composites reinforced by particle or fiber with an inhomogeneous interphase
    • Shen L., and Li J. Effective elastic moduli of composites reinforced by particle or fiber with an inhomogeneous interphase. Int. J. Solids Struct. 40 (2003) 1393-1409
    • (2003) Int. J. Solids Struct. , vol.40 , pp. 1393-1409
    • Shen, L.1    Li, J.2
  • 43
    • 26944484412 scopus 로고    scopus 로고
    • Homogenization of a fibre/sphere with an inhomogeneous interphase for the effective elastic moduli of composites
    • Shen L., and Li J. Homogenization of a fibre/sphere with an inhomogeneous interphase for the effective elastic moduli of composites. Proc. Roy. Soc. Lond. A 461 (2005) 1475-1504
    • (2005) Proc. Roy. Soc. Lond. A , vol.461 , pp. 1475-1504
    • Shen, L.1    Li, J.2
  • 44
    • 0001075516 scopus 로고    scopus 로고
    • Modeling and design of multi-layered and graded materials
    • Suresh S. Modeling and design of multi-layered and graded materials. Prog. Mater. Sci. 42 (1997) 243-251
    • (1997) Prog. Mater. Sci. , vol.42 , pp. 243-251
    • Suresh, S.1
  • 45
    • 0035968012 scopus 로고    scopus 로고
    • Graded materials for resistance to contact deformation and damage
    • Suresh S. Graded materials for resistance to contact deformation and damage. Science 292 (2001) 2447-2451
    • (2001) Science , vol.292 , pp. 2447-2451
    • Suresh, S.1
  • 47
    • 0347603204 scopus 로고    scopus 로고
    • Dielectric response of composites with graded cylindrical particles
    • Wei E.-B., Song J.-B., and Tian J.-W. Dielectric response of composites with graded cylindrical particles. J. Phys.: Condens. Matter 15 (2003) 8907-8915
    • (2003) J. Phys.: Condens. Matter , vol.15 , pp. 8907-8915
    • Wei, E.-B.1    Song, J.-B.2    Tian, J.-W.3
  • 48
    • 32644441360 scopus 로고    scopus 로고
    • Dielectric responses of graded composites having generalized gradation profiles
    • Wei E.-B., Gu G.-Q., and Yu K.-W. Dielectric responses of graded composites having generalized gradation profiles. Chin. Phys. 15 (2006) 182-189
    • (2006) Chin. Phys. , vol.15 , pp. 182-189
    • Wei, E.-B.1    Gu, G.-Q.2    Yu, K.-W.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.