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Volumn 57, Issue 4, 1999, Pages 681-697

On compressible materials capable of sustaining axisymmetric shear deformations. Part 3: Helical shear of isotropic hyperelastic materials

Author keywords

[No Author keywords available]

Indexed keywords

ELASTICITY; SHEAR DEFORMATION;

EID: 0033339380     PISSN: 0033569X     EISSN: None     Source Type: Journal    
DOI: 10.1090/qam/1724300     Document Type: Article
Times cited : (13)

References (12)
  • 1
    • 0000381932 scopus 로고
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    • (1959) Quart. J. Mech. Appl. Math. , vol.12 , pp. 129-145
    • Spencer, A.J.M.1
  • 2
    • 0000413549 scopus 로고
    • Large elastic deformations of isotropic materials. VI - Further results in the theory of torsion, shear and flexure
    • R. S. Rivlin, Large elastic deformations of isotropic materials. VI - Further results in the theory of torsion, shear and flexure. Phil. Trans. Roy. Soc. London A242, 173-195 (1949)
    • (1949) Phil. Trans. Roy. Soc. London , vol.A242 , pp. 173-195
    • Rivlin, R.S.1
  • 3
    • 0027646152 scopus 로고
    • Circular shearing of compressible elastic cylinders
    • D. M. Haughton, Circular shearing of compressible elastic cylinders, Quart. J. Mech. Appl. Math. 46, 471-486 (1993)
    • (1993) Quart. J. Mech. Appl. Math. , vol.46 , pp. 471-486
    • Haughton, D.M.1
  • 4
    • 0031143719 scopus 로고    scopus 로고
    • On compressible, materials capable of sustaining axisymmetric shear deformations. Part 2: Rotational shear of isotropic hyperelastic materials
    • M. F. Beatty and Q. Jiang, On compressible, materials capable of sustaining axisymmetric shear deformations. Part 2: Rotational shear of isotropic hyperelastic materials, Quart. J. Mech. Appl. Math. 50, 212-237 (1997)
    • (1997) Quart. J. Mech. Appl. Math. , vol.50 , pp. 212-237
    • Beatty, M.F.1    Jiang, Q.2
  • 5
    • 0032001097 scopus 로고    scopus 로고
    • On azimuthal shear of a circular cylindrical tube of compressible elastic material
    • X. Jiang and R. W. Ogden, On azimuthal shear of a circular cylindrical tube of compressible elastic material. Quart. J. Mech. Appl. Math. 51, 143-158 (1998)
    • (1998) Quart. J. Mech. Appl. Math. , vol.51 , pp. 143-158
    • Jiang, X.1    Ogden, R.W.2
  • 6
    • 0029290979 scopus 로고
    • On compressible materials capable of sustaining axisymmetric shear deformations. Part 1: Anti-plane shear of isotropic hyperelastic materials
    • Q. Jiang and M. F. Beatty, On compressible materials capable of sustaining axisymmetric shear deformations. Part 1: Anti-plane shear of isotropic hyperelastic materials, J. Elasticity 35, 75-95 (1995)
    • (1995) J. Elasticity , vol.35 , pp. 75-95
    • Jiang, Q.1    Beatty, M.F.2
  • 7
    • 0343423704 scopus 로고    scopus 로고
    • Compressible, isotropic hyperelastic materials capable of sustaining axisymmetric, anti-plane, shear deformations, contemporary research in the mechanics and mathematics of materials
    • Eds. R. C. Batra and M. F. Beatty, Barcelona, Spain
    • M. F. Beatty and Q. Jiang, Compressible, isotropic hyperelastic materials capable of sustaining axisymmetric, anti-plane, shear deformations, Contemporary Research in the Mechanics and Mathematics of Materials, Eds. R. C. Batra and M. F. Beatty, International Center for Numerical Methods in Engineering (CIMNE), Barcelona, Spain, 1996
    • (1996) International Center for Numerical Methods in Engineering (CIMNE)
    • Beatty, M.F.1    Jiang, Q.2
  • 8
    • 0001385295 scopus 로고
    • Axisymmetric finite anti-plane shear of compressible nonlinearly elastic circular tubes
    • D. A. Polignone and C. O. Horgan, Axisymmetric finite anti-plane shear of compressible nonlinearly elastic circular tubes, Quart. Appl. Math. 50, 323-341 (1992)
    • (1992) Quart. Appl. Math. , vol.50 , pp. 323-341
    • Polignone, D.A.1    Horgan, C.O.2
  • 9
    • 0000139119 scopus 로고
    • Pure azimuthal shear of compressible nonlinearly elastic circular tubes
    • D. A. Polignone and C. O. Horgan, Pure azimuthal shear of compressible nonlinearly elastic circular tubes, Quart. Appl. Math. 52, 113-131 (1994)
    • (1994) Quart. Appl. Math. , vol.52 , pp. 113-131
    • Polignone, D.A.1    Horgan, C.O.2
  • 10
    • 0343423701 scopus 로고
    • On pseudo-elasticity of living tissue
    • Ed. S. Nemat-Nasser, Pergamon Press, New York
    • Y. C. Fung, On pseudo-elasticity of living tissue, Mechanics Today 5, 49-66. Ed. S. Nemat-Nasser, Pergamon Press, New York, 1980
    • (1980) Mechanics Today , vol.5 , pp. 49-66
    • Fung, Y.C.1
  • 11
    • 0023457260 scopus 로고
    • On constitutive relations and finite deformations of passive cardiac tissue: (part) I. A pseudostrain-energy function
    • J. D. Humphrey and F. C. P. Yin, On constitutive relations and finite deformations of passive cardiac tissue: (Part) I. A pseudostrain-energy function, J. Biomech. Engrg. 109, 298-304 (1987); (Part) II. Stress analysis in the left ventricle, Circulation Res. 65, 805-817 (1989)
    • (1987) J. Biomech. Engrg. , vol.109 , pp. 298-304
    • Humphrey, J.D.1    Yin, F.C.P.2
  • 12
    • 0023457260 scopus 로고
    • (part) II. Stress analysis in the left ventricle
    • J. D. Humphrey and F. C. P. Yin, On constitutive relations and finite deformations of passive cardiac tissue: (Part) I. A pseudostrain-energy function, J. Biomech. Engrg. 109, 298-304 (1987); (Part) II. Stress analysis in the left ventricle, Circulation Res. 65, 805-817 (1989)
    • (1989) Circulation Res. , vol.65 , pp. 805-817


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