메뉴 건너뛰기




Volumn 7, Issue 4, 2002, Pages 373-392

On extension and torsion of a compressible elastic circular cylinder

Author keywords

[No Author keywords available]

Indexed keywords

CYLINDERS (SHAPES); DEFORMATION; HYDROSTATIC PRESSURE; STRAIN; TORSIONAL STRESS;

EID: 0036695301     PISSN: 10812865     EISSN: None     Source Type: Journal    
DOI: 10.1177/108128028476     Document Type: Article
Times cited : (21)

References (28)
  • 1
    • 0000298338 scopus 로고
    • Large elastic deformations of isotropic materials IV: Further developments of the general theory
    • Rivlin, R.S.: Large elastic deformations of isotropic materials IV: further developments of the general theory. Phil. Trans. R. Soc. Lond. A 241, 379-397 (1948).
    • (1948) Phil. Trans. R. Soc. Lond. A , vol.241 , pp. 379-397
    • Rivlin, R.S.1
  • 2
    • 84958737099 scopus 로고
    • A note on the torsion of an incompressible highly elastic cylinder
    • Rivlin, R.S.: A note on the torsion of an incompressible highly elastic cylinder. Proc. Camb. Phil. Soc., 45, 485-487 (1948).
    • (1948) Proc. Camb. Phil. Soc. , vol.45 , pp. 485-487
    • Rivlin, R.S.1
  • 3
    • 0000413549 scopus 로고
    • Large elastic deformations of isotropic materials VI: Further results in the theory of torsion, shear and flexure
    • Rivlin, R.S.: Large elastic deformations of isotropic materials VI: further results in the theory of torsion, shear and flexure. Phil. Trans. R. Soc. Lond. A 242, 173-195 (1949).
    • (1949) Phil. Trans. R. Soc. Lond. A , vol.242 , pp. 173-195
    • Rivlin, R.S.1
  • 4
    • 36849119213 scopus 로고
    • Torsion of a rubber cylinder
    • Rivlin, R.S.: Torsion of a rubber cylinder. J. Appl. Phys., 18, 444-449 (1947).
    • (1947) J. Appl. Phys. , vol.18 , pp. 444-449
    • Rivlin, R.S.1
  • 5
    • 0000298337 scopus 로고
    • Large elastic deformations of isotropic materials VII: Experiments on the deformation of rubber
    • Rivlin, R.S. and Saunders, D.W.: Large elastic deformations of isotropic materials VII: experiments on the deformation of rubber. Phil. Trans. R. Soc. Lond. A 243, 251-288 (1951).
    • (1951) Phil. Trans. R. Soc. Lond. A , vol.243 , pp. 251-288
    • Rivlin, R.S.1    Saunders, D.W.2
  • 6
    • 85171853220 scopus 로고
    • Deformations possible in every compressible isotropic, perfectly elastic material
    • Ericksen, J.L.: Deformations possible in every compressible isotropic, perfectly elastic material. J. Math. Phys., 34, 126-128 (1955).
    • (1955) J. Math. Phys. , vol.34 , pp. 126-128
    • Ericksen, J.L.1
  • 8
    • 0000657774 scopus 로고
    • Finite elastic deformation of compressible isotropic bodies
    • Green, A.E.: Finite elastic deformation of compressible isotropic bodies. Proc. R. Soc. Lond. A 227, 271-278 (1955).
    • (1955) Proc. R. Soc. Lond. A , vol.227 , pp. 271-278
    • Green, A.E.1
  • 9
    • 0015281789 scopus 로고
    • Nearly isochoric finite torsion of a compressible isotropic elastic circular cylinder
    • Faulkner, M.G. and Haddow, J.B.: Nearly isochoric finite torsion of a compressible isotropic elastic circular cylinder. Acta Mech., 13, 245-253 (1972).
    • (1972) Acta Mech. , vol.13 , pp. 245-253
    • Faulkner, M.G.1    Haddow, J.B.2
  • 10
    • 84953648079 scopus 로고
    • Application of finite elastic theory to the deformation of rubbery materials
    • Blatz, P.J. and Ko, W.L.: Application of finite elastic theory to the deformation of rubbery materials. Trans. Soc. Rheol., 6, 223-251 (1962).
    • (1962) Trans. Soc. Rheol. , vol.6 , pp. 223-251
    • Blatz, P.J.1    Ko, W.L.2
  • 11
    • 0015382225 scopus 로고
    • Finite torsion of slightly compressible rubberlike circular cylinders
    • Levinson, M.: Finite torsion of slightly compressible rubberlike circular cylinders. Int. J. Non-Linear Mech., 7, 445-463 (1972).
    • (1972) Int. J. Non-Linear Mech. , vol.7 , pp. 445-463
    • Levinson, M.1
  • 12
    • 0001898425 scopus 로고
    • On non-universal finite elastic deformations
    • D.E. Carlson and R.T. Shield eds., Martinus Nijhoff Publishers, Dordrecht
    • Currie, P.K. and Hayes, M.: On non-universal finite elastic deformations. In Proc. IUTAM Symp. on Finite Elasticity (D.E. Carlson and R.T. Shield eds.), Martinus Nijhoff Publishers, Dordrecht, 1981, pp. 143-150.
    • (1981) Proc. IUTAM Symp. on Finite Elasticity , pp. 143-150
    • Currie, P.K.1    Hayes, M.2
  • 13
    • 33749072614 scopus 로고
    • Topics in finite elasticity: Hyperelasticity of rubber, elastomers and biological tissues - With examples
    • Beatty, M.F.: Topics in finite elasticity: hyperelasticity of rubber, elastomers and biological tissues - With examples. Appl. Mech. Rev., 40, 1699-1734 (1987).
    • (1987) Appl. Mech. Rev. , vol.40 , pp. 1699-1734
    • Beatty, M.F.1
  • 14
    • 0002555514 scopus 로고    scopus 로고
    • Introduction to nonlinear elasticity
    • M.M Carroll and M.A. Hayes eds., Plenum Press, New York
    • Beatty, M.F.: Introduction to nonlinear elasticity. In Nonlinear Effects in Fluids and Solids (M.M Carroll and M.A. Hayes eds.), Plenum Press, New York, 1996, pp. 13-112.
    • (1996) Nonlinear Effects in Fluids and Solids , pp. 13-112
    • Beatty, M.F.1
  • 15
    • 0023862213 scopus 로고
    • Finite strain solutions in compressible isotropic elasticity
    • Carroll, M.M.: Finite strain solutions in compressible isotropic elasticity. J. Elasticity, 20, 65-92 (1988).
    • (1988) J. Elasticity , vol.20 , pp. 65-92
    • Carroll, M.M.1
  • 16
    • 0028732603 scopus 로고
    • A note On pure torsion of a circular cylinder for a compressible nonlinearly elastic material with nonconvex strain-energy
    • Horgan, C.O. and Polignone, D.A.: A note On pure torsion of a circular cylinder for a compressible nonlinearly elastic material with nonconvex strain-energy. J. Elasticity, 37, 167-178 (1995).
    • (1995) J. Elasticity , vol.37 , pp. 167-178
    • Horgan, C.O.1    Polignone, D.A.2
  • 17
    • 0001536736 scopus 로고
    • Pure torsion of compressible nonlinearly elastic circular cylinders
    • Polignone, D.A. and Horgan, C.O.: Pure torsion of compressible nonlinearly elastic circular cylinders. Q. Appl. Math., 49, 591-607 (1991).
    • (1991) Q. Appl. Math. , vol.49 , pp. 591-607
    • Polignone, D.A.1    Horgan, C.O.2
  • 18
    • 0034156525 scopus 로고    scopus 로고
    • Some new solutions for the axial shear of a circular cylindrical tube of compressible elastic material
    • Jiang, X. and Ogden, R.W.: Some new solutions for the axial shear of a circular cylindrical tube of compressible elastic material. Int. J. Non-Linear Mech., 35, 361-369 (2000).
    • (2000) Int. J. Non-Linear Mech. , vol.35 , pp. 361-369
    • Jiang, X.1    Ogden, R.W.2
  • 19
    • 0032001097 scopus 로고    scopus 로고
    • On azimuthal shear of a circular cylindrical tube of compressible elastic material
    • Jiang, X. and Ogden, R.W.: On azimuthal shear of a circular cylindrical tube of compressible elastic material. Q. J. Mech. Appl. Math., 51, 143-158 (1998).
    • (1998) Q. J. Mech. Appl. Math. , vol.51 , pp. 143-158
    • Jiang, X.1    Ogden, R.W.2
  • 21
    • 0034434740 scopus 로고    scopus 로고
    • A new constitutive framework for arterial wall mechanics and a comparative study of material models
    • Holzapfel, G.A., Gasser, C.T. and Ogden, R.W.: Anew constitutive framework for arterial wall mechanics and a comparative study of material models. J. Elasticity, 61, 1-48 (2000).
    • (2000) J. Elasticity , vol.61 , pp. 1-48
    • Holzapfel, G.A.1    Gasser, C.T.2    Ogden, R.W.3
  • 22
    • 0010516679 scopus 로고    scopus 로고
    • Universal results in finite elasticity
    • Nonlinear Elasticity: Theory and Applications (Y.B. Fu and R.W. Ogden eds.), Cambridge University Press, Cambridge
    • Saccomandi, G.: Universal results in finite elasticity. In Nonlinear Elasticity: Theory and Applications LMS Lecture Note Series 283 (Y.B. Fu and R.W. Ogden eds.), Cambridge University Press, Cambridge, 2001, pp. 97-134
    • (2001) LMS Lecture Note Series , vol.283 , pp. 97-134
    • Saccomandi, G.1
  • 23
    • 0000660702 scopus 로고
    • Finite strain solutions for a compressible elastic solid
    • Carroll, M.M. and Horgan, C.O.: Finite strain solutions for a compressible elastic solid. Q. Appl. Math., 48, 767-780 (1990).
    • (1990) Q. Appl. Math. , vol.48 , pp. 767-780
    • Carroll, M.M.1    Horgan, C.O.2
  • 24
    • 0001051033 scopus 로고    scopus 로고
    • Equilibrium solutions for compressible nonlinear elasticity
    • Nonlinear Elasticity: Theory and Applications. (Y.B. Fu and R.W. Ogden eds.), Cambridge University Press, Cambridge
    • Horgan, C.O.: Equilibrium solutions for compressible nonlinear elasticity. In Nonlinear Elasticity: Theory and Applications LMS Lecture Note Series 283 (Y.B. Fu and R.W. Ogden eds.), Cambridge University Press, Cambridge, 2001, pp. 135-159.
    • (2001) LMS Lecture Note Series , vol.283 , pp. 135-159
    • Horgan, C.O.1
  • 25
    • 0001097266 scopus 로고
    • Inflation and bifurcation of thick-walled compressible elastic spherical shells
    • Haughton, D.M.: Inflation and bifurcation of thick-walled compressible elastic spherical shells. IMA J. Appl. Math., 39, 259-272 (1987).
    • (1987) IMA J. Appl. Math. , vol.39 , pp. 259-272
    • Haughton, D.M.1
  • 26
    • 0027646152 scopus 로고
    • Circular shearing of compressible elastic cylinders
    • Haughton, D.M.: Circular shearing of compressible elastic cylinders. Q. J. Mech. Appl. Math., 46, 471-486 (1993).
    • (1993) Q. J. Mech. Appl. Math. , vol.46 , pp. 471-486
    • Haughton, D.M.1
  • 27
    • 0010438284 scopus 로고    scopus 로고
    • On helical shear of an isotropic compressible elastic tube
    • in press
    • Kirkinis, E. and Ogden, R.W.: On helical shear of an isotropic compressible elastic tube. Q. J. Mech. Appl. Math. in press (2002).
    • (2002) Q. J. Mech. Appl. Math.
    • Kirkinis, E.1    Ogden, R.W.2
  • 28
    • 0033339380 scopus 로고    scopus 로고
    • On compressible materials capable of sustaining axisymmetric shear deformations. III. Helical shear of isotropic hyperelastic materials
    • Beatty, M.F. and Jiang, Q.: On compressible materials capable of sustaining axisymmetric shear deformations. III. Helical shear of isotropic hyperelastic materials. Q. Appl. Math., 57, 681-697 (1999).
    • (1999) Q. Appl. Math. , vol.57 , pp. 681-697
    • Beatty, M.F.1    Jiang, Q.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.