메뉴 건너뛰기




Volumn 3, Issue 2, 1998, Pages 131-145

On the straightening of compressible, nonlinearly elastic, annular cylindrical sectors

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CYLINDERS (SHAPES); PROBLEM SOLVING; STRAIN;

EID: 0032099897     PISSN: 10812865     EISSN: None     Source Type: Journal    
DOI: 10.1177/108128659800300201     Document Type: Article
Times cited : (16)

References (18)
  • 1
    • 34250592564 scopus 로고
    • Deformations possible in every isotropic incompressible perfectly elastic body
    • Ericksen, J. L.: Deformations possible in every isotropic incompressible perfectly elastic body. Z. Angew. Math. Phys. 5, 466-486 (1954).
    • (1954) Z. Angew. Math. Phys. , vol.5 , pp. 466-486
    • Ericksen, J.L.1
  • 2
    • 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
  • 3
    • 0001700852 scopus 로고
    • The classical field theories
    • ed., S. Flügge, Springer-Verlag, Berlin
    • Truesdell, C. and Toupin, R.: The classical field theories, in Handbuch der Physik, III/1, ed., S. Flügge, Springer-Verlag, Berlin, 1960.
    • (1960) Handbuch der Physik , vol.3 , Issue.1
    • Truesdell, C.1    Toupin, R.2
  • 4
    • 0002565890 scopus 로고
    • The non-linear field theories of mechanics
    • ed., S. Flügge, Springer-Verlag, Berlin
    • Truesdell, C. and Noll, W.: The non-linear field theories of mechanics, in Handbuch der Physik, III/3, ed., S. Flügge, Springer-Verlag, Berlin, 1965.
    • (1965) Handbuch der Physik , vol.3 , Issue.3
    • Truesdell, C.1    Noll, W.2
  • 6
    • 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. Quart. Appl. Math., 48, 767-780 (1990).
    • (1990) Quart. Appl. Math. , vol.48 , pp. 767-780
    • Carroll, M.M.1    Horgan, C.O.2
  • 7
    • 0029349917 scopus 로고
    • Remarks concerning the flexure of a compressible nonlinearly elastic rectangular block
    • Aron, M. and Wang, Y.: Remarks concerning the flexure of a compressible nonlinearly elastic rectangular block. J. Elasticity, 40, 99-106 (1995).
    • (1995) J. Elasticity , vol.40 , pp. 99-106
    • Aron, M.1    Wang, Y.2
  • 8
    • 0000121912 scopus 로고
    • A comparison of some simple constitutive relations for slightly compressible rubberlike materials
    • Levinson, M. and Burgess, W.: A comparison of some simple constitutive relations for slightly compressible rubberlike materials. Int. J. Mech. Sci., 13, 563-572 (1971).
    • (1971) Int. J. Mech. Sci. , vol.13 , pp. 563-572
    • Levinson, M.1    Burgess, W.2
  • 9
    • 0342586512 scopus 로고
    • Finite elastic deformation of a plane strain wedge-shaped radial crack in a compressible cylinder
    • eds., M. Reiner and D. Abir, Pergamon, Oxford
    • Blatz, P. J.: Finite elastic deformation of a plane strain wedge-shaped radial crack in a compressible cylinder, in Second-Order Effects in Elasticity, Plasticity and Fluid Dynamics, pp. 145-161, eds., M. Reiner and D. Abir, Pergamon, Oxford, 1964.
    • (1964) Second-Order Effects in Elasticity, Plasticity and Fluid Dynamics , pp. 145-161
    • Blatz, P.J.1
  • 10
    • 0021515349 scopus 로고
    • On non-uniqueness in the traction boundary-value problem for a compressible elastic solid
    • Ogden, R. W.: On non-uniqueness in the traction boundary-value problem for a compressible elastic solid. Quart. Appl. Math., 41, 337-344 (1984).
    • (1984) Quart. Appl. Math. , vol.41 , pp. 337-344
    • Ogden, R.W.1
  • 11
    • 0019902788 scopus 로고
    • Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
    • Ball, J. M: Discontinuous equilibrium solutions and cavitation in nonlinear elasticity. Phil. Trans. Roy. Soc. Lon., A306, 557-611 (1982).
    • (1982) Phil. Trans. Roy. Soc. Lon. , vol.A306 , pp. 557-611
    • Ball, J.M.1
  • 12
    • 0012944866 scopus 로고
    • The generalized Hamilton-Jacobi inequality and stability of equilibria in non-linear elasticity
    • Sivaloganathan, J.: The generalized Hamilton-Jacobi inequality and stability of equilibria in non-linear elasticity. Arch. Ration. Mech. Anal., 107, 347-379 (1989).
    • (1989) Arch. Ration. Mech. Anal. , vol.107 , pp. 347-379
    • Sivaloganathan, J.1
  • 13
    • 0018202497 scopus 로고
    • Aspects of invariance in solid mechanics
    • ed., C.-S. Yih, Academic Press, New York
    • Hill, R.: Aspects of invariance in solid mechanics, in Advances in Applied Mechanics, vol. 18, pp. 1-75, ed., C.-S. Yih, Academic Press, New York, 1978.
    • (1978) Advances in Applied Mechanics , vol.18 , pp. 1-75
    • Hill, R.1
  • 14
    • 84953648079 scopus 로고
    • Application of finite elasticity theory to the deformation of rubbery materials
    • Blatz, P. J. and Ko, W. L.: Application of finite elasticity theory to the deformation of rubbery materials. Trans. Soc. Rheology, 6, 223-251 (1962).
    • (1962) Trans. Soc. Rheology , vol.6 , pp. 223-251
    • Blatz, P.J.1    Ko, W.L.2
  • 15
    • 0026122993 scopus 로고
    • Creasing singularities in compressible elastic materials
    • Silling, S. A.: Creasing singularities in compressible elastic materials. J. Appl. Mech. Trans. ASME, 58, 70-74 (1991).
    • (1991) J. Appl. Mech. Trans. ASME , vol.58 , pp. 70-74
    • Silling, S.A.1
  • 16
    • 0030181609 scopus 로고    scopus 로고
    • A reformulation of the strong ellipticity conditions for unconstrained hyperelastic media
    • Wang, Y. and Aron, M.: A reformulation of the strong ellipticity conditions for unconstrained hyperelastic media. J. Elasticity, 44, 89-96 (1996).
    • (1996) J. Elasticity , vol.44 , pp. 89-96
    • Wang, Y.1    Aron, M.2
  • 17
    • 0017428499 scopus 로고
    • On the failure of ellipticity of the equations for finite elastostatic plane strain
    • Knowles, J. K. and Sternberg, E.: On the failure of ellipticity of the equations for finite elastostatic plane strain. Arch. Ration. Mech. Anal., 63, 321-336 (1977).
    • (1977) Arch. Ration. Mech. Anal. , vol.63 , pp. 321-336
    • Knowles, J.K.1    Sternberg, E.2
  • 18
    • 0027963926 scopus 로고
    • On a class of plane radial deformations of compressible non-linearly elastic solids
    • Aron, M.: On a class of plane radial deformations of compressible non-linearly elastic solids. I.M.A.J. Appl. Maths., 52, 289-296 (1994).
    • (1994) I.M.A.J. Appl. Maths. , vol.52 , pp. 289-296
    • Aron, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.