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Volumn 53, Issue 1, 2009, Pages 153-168

Constitutive modeling for moderate deformations of slightly compressible rubber

Author keywords

[No Author keywords available]

Indexed keywords

HYDROSTATIC PRESSURE; INCOMPRESSIBLE FLOW; RUBBER;

EID: 58149268882     PISSN: 01486055     EISSN: None     Source Type: Journal    
DOI: 10.1122/1.3037263     Document Type: Article
Times cited : (24)

References (26)
  • 1
    • 0038788778 scopus 로고
    • The compressibility of rubber
    • Adams, L. H., and R. E. Gibson, " The compressibility of rubber.," J. Wash. Acad. Sci. 20, 213-223 (1930).
    • (1930) J. Wash. Acad. Sci. , vol.20 , pp. 213-223
    • Adams, L.H.1    Gibson, R.E.2
  • 2
    • 27844440792 scopus 로고    scopus 로고
    • Hyperelastic constitutive model for rubber-like materials based on the first Seth strain measures invariant
    • Bechir, H., L. Chevalier, M. Chaouche, and K. Boufala, " Hyperelastic constitutive model for rubber-like materials based on the first Seth strain measures invariant.," Eur. J. Mech. A/Solids 25, 110-124 (2006).
    • (2006) Eur. J. Mech. A/Solids , vol.25 , pp. 110-124
    • Bechir, H.1    Chevalier, L.2    Chaouche, M.3    Boufala, K.4
  • 3
    • 0034216714 scopus 로고    scopus 로고
    • Constitutive models of rubber elasticity: A review
    • Boyce, M. C., and E. M. Arruda, " Constitutive models of rubber elasticity: A review.," Rubber Chem. Technol. 73, 504-523 (2000).
    • (2000) Rubber Chem. Technol. , vol.73 , pp. 504-523
    • Boyce, M.C.1    Arruda, E.M.2
  • 5
    • 0038788777 scopus 로고
    • The compression of sixty-one solid substances to 25000 kg cm-2, determined by a new rapid method
    • Bridgman, P. W., " The compression of sixty-one solid substances to 25000 kg cm-2, determined by a new rapid method.," Proc. Am. Acad. Arts Sci. 76, 9-24 (1944).
    • (1944) Proc. Am. Acad. Arts Sci. , vol.76 , pp. 9-24
    • Bridgman, P.W.1
  • 6
    • 0037872468 scopus 로고
    • The instability of slightly compressible rectangular rubberlike solids under biaxial loadings
    • Burgess, I. W., and M. Levinson, " The instability of slightly compressible rectangular rubberlike solids under biaxial loadings.," Int. J. Solids Struct. 8, 133-148 (1972).
    • (1972) Int. J. Solids Struct. , vol.8 , pp. 133-148
    • Burgess, I.W.1    Levinson, M.2
  • 7
    • 0014794124 scopus 로고
    • Comparison between theoretical and experimental values of the volume changes accompanying rubber extension
    • Christensen, R. G., and C. A. J. Hoeve, " Comparison between theoretical and experimental values of the volume changes accompanying rubber extension.," J. Polym. Sci. [A1] 8, 1503-1512 (1970).
    • (1970) J. Polym. Sci. [A1] , vol.8 , pp. 1503-1512
    • Christensen, R.G.1    Hoeve, C.A.J.2
  • 8
    • 2542480027 scopus 로고
    • The thermodynamics of a strained elastomer. II. Compressibility
    • Copeland, L. E., " The thermodynamics of a strained elastomer. II. Compressibility.," J. Appl. Phys. 19, 445-449 (1948).
    • (1948) J. Appl. Phys. , vol.19 , pp. 445-449
    • Copeland, L.E.1
  • 9
    • 0042683390 scopus 로고    scopus 로고
    • Equibiaxial stretching of elastomeric sheets, an analytical verification of experimental technique
    • in, Newport, RI.
    • Day, J. R., and K. A. Miller, " Equibiaxial stretching of elastomeric sheets, an analytical verification of experimental technique.," in ABAQUS 2000 Users Conference Proceedings, Newport, RI, (2000).
    • (2000) ABAQUS 2000 Users Conference Proceedings
    • Day, J.R.1    Miller, K.A.2
  • 10
    • 0016458389 scopus 로고
    • Construction of a strain-energy function for an isotropic elastic material
    • Fong, J. T., and R. W. Penn, " Construction of a strain-energy function for an isotropic elastic material.," Trans. Soc. Rheol. 19, 99-113 (1975).
    • (1975) Trans. Soc. Rheol. , vol.19 , pp. 99-113
    • Fong, J.T.1    Penn, R.W.2
  • 11
    • 0028460687 scopus 로고
    • Compression of rubber blocks
    • Gent, A. N., " Compression of rubber blocks.," Rubber Chem. Technol. 67, 549-558 (1994).
    • (1994) Rubber Chem. Technol. , vol.67 , pp. 549-558
    • Gent, A.N.1
  • 12
    • 0003967560 scopus 로고    scopus 로고
    • Determination of constitutive equations for vulcanized rubber
    • in, edited by D. Boast and V. A. Coveney (Professional Engineering Publishing Ltd, London)
    • Gough, J., I. H. Gregory, and A. H. Muhr, " Determination of constitutive equations for vulcanized rubber.," in Finite Element Analysis of Elastomers, edited by, D. Boast, and, V. A. Coveney, (Professional Engineering Publishing Ltd, London, 1999), pp. 5-26.
    • (1999) Finite Element Analysis of Elastomers , pp. 5-26
    • Gough, J.1    Gregory, I.H.2    Muhr, A.H.3
  • 13
    • 10444275643 scopus 로고    scopus 로고
    • A simple approach to characterize finite compressibility of elastomers
    • Gurvich, M. R., and T. S. Fleischman, " A simple approach to characterize finite compressibility of elastomers.," Rubber Chem. Technol. 76, 912-922 (2003).
    • (2003) Rubber Chem. Technol. , vol.76 , pp. 912-922
    • Gurvich, M.R.1    Fleischman, T.S.2
  • 14
    • 34250655774 scopus 로고    scopus 로고
    • Constitutive models for almost incompressible isotropic elastic rubber-like materials
    • Horgan, C. O., and J. G. Murphy, " Constitutive models for almost incompressible isotropic elastic rubber-like materials.," J. Elast. 87, 133-146 (2007a).
    • (2007) J. Elast. , vol.87 , pp. 133-146
    • Horgan, C.O.1    Murphy, J.G.2
  • 15
    • 34548535841 scopus 로고    scopus 로고
    • The effects of compressibility on inhomogeneous deformations for a class of almost incompressible isotropic nonlinearly elastic materials
    • Horgan, C. O., and J. G. Murphy, " The effects of compressibility on inhomogeneous deformations for a class of almost incompressible isotropic nonlinearly elastic materials.," J. Elast. 88, 207-231 (2007b).
    • (2007) J. Elast. , vol.88 , pp. 207-231
    • Horgan, C.O.1    Murphy, J.G.2
  • 16
    • 0000121912 scopus 로고
    • A comparison of some simple constitutive relations for slightly compressible rubber-like materials
    • Levinson, M., and I. W. Burgess, " A comparison of some simple constitutive relations for slightly compressible rubber-like materials.," Int. J. Mech. Sci. 13, 563-572 (1971).
    • (1971) Int. J. Mech. Sci. , vol.13 , pp. 563-572
    • Levinson, M.1    Burgess, I.W.2
  • 17
    • 0001737632 scopus 로고
    • Large deformation isotropic elasticity: on the correlation of theory and experiment for compressible rubberlike solids
    • Ogden, R. W., " Large deformation isotropic elasticity: on the correlation of theory and experiment for compressible rubberlike solids.," Proc. R. Soc. London, Ser. A 328, 567-583 (1972).
    • (1972) Proc. R. Soc. London, Ser. A , vol.328 , pp. 567-583
    • Ogden, R.W.1
  • 18
    • 0001567544 scopus 로고
    • Volume changes associated with the deformation of rubber-like solids
    • Ogden, R. W., " Volume changes associated with the deformation of rubber-like solids.," J. Mech. Phys. Solids 24, 323-338 (1976).
    • (1976) J. Mech. Phys. Solids , vol.24 , pp. 323-338
    • Ogden, R.W.1
  • 19
    • 0002537338 scopus 로고
    • Elastic deformations of rubberlike solids
    • in (the Rodney Hill 60th Anniversary Volume) edited by H. G. Hopkins and M. J. Sewell (Pergamon Press, New York)
    • Ogden, R. W., " Elastic deformations of rubberlike solids.," in Mechanics of Solids (the Rodney Hill 60th Anniversary Volume) edited by, H. G. Hopkins, and, M. J. Sewell, (Pergamon Press, New York, 1982), pp. 499-537.
    • (1982) Mechanics of Solids , pp. 499-537
    • Ogden, R.W.1
  • 20
    • 0004239893 scopus 로고
    • (Ellis Horwood, Chichester). Reprinted by Dover, New York, 1997.
    • Ogden, R. W., Nonlinear Elastic Deformations (Ellis Horwood, Chichester, 1984). Reprinted by Dover, New York, 1997.
    • (1984) Nonlinear Elastic Deformations
    • Ogden, R.W.1
  • 21
    • 0000226690 scopus 로고
    • Finite strains in an anisotropic elastic continuum
    • Oldroyd, J. G., " Finite strains in an anisotropic elastic continuum.," Proc. R. Soc. London, Ser. A 202, 345-358 (1950).
    • (1950) Proc. R. Soc. London, Ser. A , vol.202 , pp. 345-358
    • Oldroyd, J.G.1
  • 22
    • 0000708891 scopus 로고
    • Volume changes accompanying the extension of rubber
    • Penn, R. W., " Volume changes accompanying the extension of rubber.," Trans. Soc. Rheol. 14, 509-517 (1970).
    • (1970) Trans. Soc. Rheol. , vol.14 , pp. 509-517
    • Penn, R.W.1
  • 23
    • 0004742810 scopus 로고    scopus 로고
    • Vol., edited by G. I. Barenblatt and D. D. Joseph (Springer-Verlag, New York).
    • Rivlin, R. S., Collected Papers of R. S Rivlin, Vol. 1, edited by, G. I. Barenblatt, and, D. D. Joseph, (Springer-Verlag, New York, 1997).
    • (1997) Collected Papers of R. S Rivlin , vol.1
    • Rivlin, R.S.1
  • 24
    • 0026103678 scopus 로고
    • Quasi-incompressible finite elasticity in principal stretches. Continuum basis and numerical algorithms
    • Simo, J. C., and R. L. Taylor, " Quasi-incompressible finite elasticity in principal stretches. Continuum basis and numerical algorithms.," Comput. Methods Appl. Mech. Eng. 85, 173-310 (1991).
    • (1991) Comput. Methods Appl. Mech. Eng. , vol.85 , pp. 173-310
    • Simo, J.C.1    Taylor, R.L.2
  • 26
    • 10444261708 scopus 로고
    • Compressibility of natural rubber at pressures below 500 kg cm2
    • Wood, L. A., and G. M. Martin, " Compressibility of natural rubber at pressures below 500 kg cm2.," Rubber Chem. Technol. 37, 850-865 (1964).
    • (1964) Rubber Chem. Technol. , vol.37 , pp. 850-865
    • Wood, L.A.1    Martin, G.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.