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Volumn 457, Issue 2007, 2001, Pages 695-715

The static deformation of a twisted elastic rod constrained to lie on a cylinder

Author keywords

Cylindrical constraint; Drill string; Elastic rod; Helical collapse; Homoclinic orbits; Localized solutions

Indexed keywords


EID: 57249090226     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.2000.0688     Document Type: Article
Times cited : (66)

References (25)
  • 2
    • 0002781287 scopus 로고
    • Qualitative aspects of the spatial deformation of non-linearly elastic rods
    • Antman, S. S. & Jordan, K. B. 1974 Qualitative aspects of the spatial deformation of non-linearly elastic rods. Proc. R. Soc. Edinb. A 73, 85-105.
    • (1974) Proc. R. Soc. Edinb. A , vol.73 , pp. 85-105
    • Antman, S.S.1    Jordan, K.B.2
  • 4
    • 3142583750 scopus 로고    scopus 로고
    • Spatially complex localization after one-twist-per-wave equilibria in twisted circular rods with initial curvature
    • Champneys, A. R., van der Heijden, G. H. M. & Thompson, J. M. T. 1997 Spatially complex localization after one-twist-per-wave equilibria in twisted circular rods with initial curvature. Phil. Trans. R. Soc. Lond. A 355, 2151-2174.
    • (1997) Phil. Trans. R. Soc. Lond. A , vol.355 , pp. 2151-2174
    • Champneys, A.R.1    Van Der Heijden, G.H.M.2    Thompson, J.M.T.3
  • 5
    • 0021477721 scopus 로고
    • Helical postbuckling configuration of a weightless column under the action of an axial load
    • Cheatham, J. B. & Pattillo, P. D. 1984 Helical postbuckling configuration of a weightless column under the action of an axial load. Soc. Pet. Engng Jl 24, 467-472.
    • (1984) Soc. Pet. Engng Jl , vol.24 , pp. 467-472
    • Cheatham, J.B.1    Pattillo, P.D.2
  • 6
    • 85068306614 scopus 로고    scopus 로고
    • Theory of supercoiled elastic rings with self-contact and its application to DNA plasmids
    • In the press
    • Colenian, B. D. & Swigon, D. 2001 Theory of supercoiled elastic rings with self-contact and its application to DNA plasmids. J. Elasticity. (In the press.)
    • (2001) J. Elasticity.
    • Colenian, B.D.1    Swigon, D.2
  • 8
    • 0016485685 scopus 로고
    • On the significance of the inclusion of the effect of transverse normal strain in problems involving beams with surface constraints
    • Essenberg, F. 1975 On the significance of the inclusion of the effect of transverse normal strain in problems involving beams with surface constraints. Trans. ASME E: J. Appl. Mech. 42, 127-132.
    • (1975) Trans. ASME E: J. Appl. Mech. , vol.42 , pp. 127-132
    • Essenberg, F.1
  • 9
    • 0031884337 scopus 로고    scopus 로고
    • The equilibrium of the convergence point in two-strand yarn plying
    • Fraser, W. B. & Stump, D. M. 1998 The equilibrium of the convergence point in two-strand yarn plying. Int. J. Solids Struct. 35, 285-298.
    • (1998) Int. J. Solids Struct. , vol.35 , pp. 285-298
    • Fraser, W.B.1    Stump, D.M.2
  • 10
    • 0034276217 scopus 로고    scopus 로고
    • Helical buckling of a tube in an inclined wellbore
    • Huang, N. C. & Pattillo, P. D. 2000 Helical buckling of a tube in an inclined wellbore. Int. J. Nonlinear Mech. 35, 911-923.
    • (2000) Int. J. Nonlinear Mech. , vol.35 , pp. 911-923
    • Huang, N.C.1    Pattillo, P.D.2
  • 11
    • 0032647267 scopus 로고    scopus 로고
    • Homoclinic and heteroclinic orbits underlying the post-buckling of axially-compressed cylindrical shells
    • Hunt, G. W., Lord, G. J. & Champneys, A. R. 1999 Homoclinic and heteroclinic orbits underlying the post-buckling of axially-compressed cylindrical shells. Comput. Methods Appl. Mech. Engng 170, 239-251.
    • (1999) Comput. Methods Appl. Mech. Engng , vol.170 , pp. 239-251
    • Hunt, G.W.1    Lord, G.J.2    Champneys, A.R.3
  • 13
  • 14
    • 0024946361 scopus 로고
    • On the significance of normal cross-sectional extension in beam theory with application to contact problems
    • Naghdi, P. M. & Rubin, M. D. 1989 On the significance of normal cross-sectional extension in beam theory with application to contact problems. Int. J. Solids Struct. 25, 249-265.
    • (1989) Int. J. Solids Struct. , vol.25 , pp. 249-265
    • Naghdi, P.M.1    Rubin, M.D.2
  • 15
    • 84906970340 scopus 로고
    • The stability of a circular rod laterally constrained to be in contact with an inclined circular cylinder
    • Paslay, P. R. & Bogy, D. B. 1964 The stability of a circular rod laterally constrained to be in contact with an inclined circular cylinder. Trans. ASME E: J. Appl. Mech. 31, 605-610.
    • (1964) Trans. ASME E: J. Appl. Mech. , vol.31 , pp. 605-610
    • Paslay, P.R.1    Bogy, D.B.2
  • 16
    • 0018258885 scopus 로고
    • Investigation of optical fibre buckling in loose-tube packaging
    • Reeve, M. H. 1978 Investigation of optical fibre buckling in loose-tube packaging. Electronics Lett. 14, 47-48.
    • (1978) Electronics Lett. , vol.14 , pp. 47-48
    • Reeve, M.H.1
  • 17
    • 0030377936 scopus 로고    scopus 로고
    • Deformation of an elastic helix in contact with a rigid cylinder
    • Seemann, W. 1996 Deformation of an elastic helix in contact with a rigid cylinder. Arch. Appl. Mech. 67, 117-139.
    • (1996) Arch. Appl. Mech. , vol.67 , pp. 117-139
    • Seemann, W.1
  • 18
    • 0027869069 scopus 로고
    • Buckling of drill string under the action of gravity and axial thrust
    • Tan, X. C. & Digby, P. J. 1993 Buckling of drill string under the action of gravity and axial thrust. Int. J. Solids Struct. 30, 2675-2691.
    • (1993) Int. J. Solids Struct. , vol.30 , pp. 2675-2691
    • Tan, X.C.1    Digby, P.J.2
  • 19
    • 0029275152 scopus 로고
    • Buckling of slender string in cylindrical tube under axial load: Experiments and theoretical analysis
    • Tan, X. C. & Forsman, B. 1995 Buckling of slender string in cylindrical tube under axial load: experiments and theoretical analysis. Experimental Mech. March, 55-60.
    • (1995) Experimental Mech. , vol.MARCH , pp. 55-60
    • Tan, X.C.1    Forsman, B.2
  • 20
    • 0001134587 scopus 로고    scopus 로고
    • Lock-on to tape-like behaviour in the torsional buckling of anisotropic rods
    • van der Heijden, G. H. M. & Thompson, J. M. T. 1998 Lock-on to tape-like behaviour in the torsional buckling of anisotropic rods. Physica D 112, 201-224.
    • (1998) Physica D , vol.112 , pp. 201-224
    • Van Der Heijden, G.H.M.1    Thompson, J.M.T.2
  • 21
    • 0033903070 scopus 로고    scopus 로고
    • Helical and localised buckling in twisted rods: A unified analysis of the symmetric case
    • van der Heijden, G. H. M. & Thompson, J. M. T. 2000 Helical and localised buckling in twisted rods: a unified analysis of the symmetric case. Nonlinear Dynamics 21, 71-99.
    • (2000) Nonlinear Dynamics , vol.21 , pp. 71-99
    • Van Der Heijden, G.H.M.1    Thompson, J.M.T.2
  • 22
    • 0032153720 scopus 로고    scopus 로고
    • The spatial complexity of localised buckling in rods with non-circular cross-section
    • van der Heijden, G. H. M., Champneys, A. R. & Thompson, J. M. T. 1999a The spatial complexity of localised buckling in rods with non-circular cross-section. SIAM J. Appl. Math. 59, 198-221.
    • (1999) SIAM J. Appl. Math. , vol.59 , pp. 198-221
    • Van Der Heijden, G.H.M.1    Champneys, A.R.2    Thompson, J.M.T.3
  • 23
    • 0032740024 scopus 로고    scopus 로고
    • Spatially complex localisation in twisted elastic rods constrained to lie in the plane
    • van der Heijden, G. H. M., Champneys, A. R. & Thompson, J. M. T. 19996 Spatially complex localisation in twisted elastic rods constrained to lie in the plane. J. Mech. Phys. Solids 47, 59-79.
    • (1999) J. Mech. Phys. Solids , vol.47 , pp. 59-79
    • Van Der Heijden, G.H.M.1    Champneys, A.R.2    Thompson, J.M.T.3
  • 24
    • 0027666867 scopus 로고
    • Helical buckling of pipes in extended reach and horizontal wells. Part 2. Prictional drag analysis
    • Wu, J. & Juvkam-Wold, H. C. 1993 Helical buckling of pipes in extended reach and horizontal wells. Part 2. Prictional drag analysis. Trans. ASME J. Energy Res. Tech. 115, 196-201.
    • (1993) Trans. ASME J. Energy Res. Tech. , vol.115 , pp. 196-201
    • Wu, J.1    Juvkam-Wold, H.C.2
  • 25
    • 0027668192 scopus 로고
    • Helical buckling of pipes in extended reach and horizontal wells. Part 1. Preventing helical buckling
    • Wu, J., Juvkam-Wold, H. C. & Lu, R. 1993 Helical buckling of pipes in extended reach and horizontal wells. Part 1. Preventing helical buckling. Trans. ASME J. Energy Res. Tech. 115, 191-195.
    • (1993) Trans. ASME J. Energy Res. Tech. , vol.115 , pp. 191-195
    • Wu, J.1    Juvkam-Wold, H.C.2    Lu, R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.