메뉴 건너뛰기




Volumn 54, Issue 4, 2006, Pages 831-863

On the overall behavior, microstructure evolution, and macroscopic stability in reinforced rubbers at large deformations: II - Application to cylindrical fibers

Author keywords

Finite strain; Microstructures; Particulate reinforced material; Rubber material; Stability and bifurcation

Indexed keywords

BIFURCATION (MATHEMATICS); ELASTOMERS; FIBERS; MICROSTRUCTURE; PLASTIC DEFORMATION; STABILITY;

EID: 31044453405     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2005.10.010     Document Type: Article
Times cited : (68)

References (14)
  • 2
    • 0002163820 scopus 로고    scopus 로고
    • A new constitutive relation for rubber
    • A.N. Gent A new constitutive relation for rubber Rubber Chem. Technol. 69 1996 59 61
    • (1996) Rubber Chem. Technol. , vol.69 , pp. 59-61
    • Gent, A.N.1
  • 3
    • 21144480320 scopus 로고
    • Homogenization of nonlinearly elastic materials, macroscopic bifurcation and macroscopic loss of rank-one convexity
    • G. Geymonat, S. Müller, and N. Triantafyllidis Homogenization of nonlinearly elastic materials, macroscopic bifurcation and macroscopic loss of rank-one convexity Arch. Ration. Mech. Anal. 122 1993 231 290
    • (1993) Arch. Ration. Mech. Anal. , vol.122 , pp. 231-290
    • Geymonat, G.1    Müller, S.2    Triantafyllidis, N.3
  • 4
    • 84972049086 scopus 로고
    • On the theory of plane strain in finitely deformed compressible materials
    • R. Hill On the theory of plane strain in finitely deformed compressible materials Math. Proc. Cambridge Philos. Soc. 86 1979 161 178
    • (1979) Math. Proc. Cambridge Philos. Soc. , vol.86 , pp. 161-178
    • Hill, R.1
  • 5
    • 4344702175 scopus 로고    scopus 로고
    • Second-order homogenization estimates incorporating field fluctuations in finite elasticity
    • O. Lopez-Pamies, and P. Ponte Castañeda Second-order homogenization estimates incorporating field fluctuations in finite elasticity Math. Mech. Solids 9 2004 243 270
    • (2004) Math. Mech. Solids , vol.9 , pp. 243-270
    • Lopez-Pamies, O.1    Ponte Castañeda, P.2
  • 6
    • 17144410025 scopus 로고    scopus 로고
    • Second-order estimates for the macroscopic response and loss of ellipticity in porous rubbers at large deformations
    • O. Lopez-Pamies, and P. Ponte Castañeda Second-order estimates for the macroscopic response and loss of ellipticity in porous rubbers at large deformations J. Elasticity 76 2004 247 287
    • (2004) J. Elasticity , vol.76 , pp. 247-287
    • Lopez-Pamies, O.1    Ponte Castañeda, P.2
  • 7
    • 31044441045 scopus 로고    scopus 로고
    • On the overall behavior, microstructure evolution, and macroscopic stability in reinforced rubbers at large deformations
    • in press, doi:10.1016/j.jmps.2005.10.006.
    • Lopez-Pamies, O., Ponte Castañeda, P., 2006. On the overall behavior, microstructure evolution, and macroscopic stability in reinforced rubbers at large deformations. I. Theory. J. Mech. Phys. Solids, in press, doi:10.1016/j.jmps.2005.10.006.
    • (2006) I. Theory. J. Mech. Phys. Solids
    • Lopez-Pamies, O.1    Castañeda, P.P.2
  • 8
    • 0017927099 scopus 로고
    • Extremum principles in non-linear elasticity and their application to composites. I. Theory
    • R. Ogden Extremum principles in non-linear elasticity and their application to composites. I. Theory Int. J. Solids Struct. 14 1978 265 282
    • (1978) Int. J. Solids Struct. , vol.14 , pp. 265-282
    • Ogden, R.1
  • 9
    • 0000777111 scopus 로고
    • The overall constitutive behavior of nonlinearly elastic composites
    • P. Ponte Castañeda The overall constitutive behavior of nonlinearly elastic composites Proc. R. Soc. London A 422 1989 147 171
    • (1989) Proc. R. Soc. London A , vol.422 , pp. 147-171
    • Ponte Castañeda, P.1
  • 10
    • 0036533606 scopus 로고    scopus 로고
    • Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. I. Theory
    • P. Ponte Castañeda Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. I. Theory J. Mech. Phys. Solids 50 2002 737 757
    • (2002) J. Mech. Phys. Solids , vol.50 , pp. 737-757
    • Ponte Castañeda, P.1
  • 11
    • 0343090907 scopus 로고    scopus 로고
    • A second-order homogenization procedure in finite elasticity and applications to black-filled elastomers
    • P. Ponte Castañeda, and E. Tiberio A second-order homogenization procedure in finite elasticity and applications to black-filled elastomers J. Mech. Phys. Solids 48 2000 1389 1411
    • (2000) J. Mech. Phys. Solids , vol.48 , pp. 1389-1411
    • Ponte Castañeda, P.1    Tiberio, E.2
  • 12
    • 31044455322 scopus 로고    scopus 로고
    • Failure surfaces for finitely strained two-phase periodic solids under general in-plane loading
    • submitted for publication
    • Triantafyllidis, N.S., Nesterović, M.D., Schraad, M.W., 2005. Failure surfaces for finitely strained two-phase periodic solids under general in-plane loading. J. Appl. Mech., submitted for publication.
    • (2005) J. Appl. Mech.
    • Triantafyllidis, N.S.1    Nesterović, M.D.2    Schraad, M.W.3
  • 13
    • 0017502751 scopus 로고
    • Bounds and self-consistent estimates for the overall moduli of anisotropic composites
    • J.R. Willis Bounds and self-consistent estimates for the overall moduli 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
  • 14
    • 0019697033 scopus 로고
    • Variational and related methods for the overall properties of composites
    • J.R. Willis Variational and related methods for the overall properties of composites Adv. Appl. Mech. 21 1981 1 78
    • (1981) Adv. Appl. Mech. , vol.21 , pp. 1-78
    • Willis, J.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.