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Volumn 29, Issue 2, 2010, Pages 216-229

Nonlinear axisymmetric deformations of an elastic tube under external pressure

Author keywords

Axisymmetric deformations; Elastic tubes; Finite deformation; Large strain; Nonlinear elasticity

Indexed keywords

AXISYMMETRIC DEFORMATION; ELASTIC TUBES; FINITE DEFORMATIONS; LARGE STRAINS; NONLINEAR ELASTICITY;

EID: 74449085797     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechsol.2009.10.004     Document Type: Article
Times cited : (33)

References (26)
  • 1
    • 0001054825 scopus 로고
    • Transmission characteristics of axial waves in blood vessels
    • Anlike M., Moritz W.E., and Ogden E. Transmission characteristics of axial waves in blood vessels. Journal of Biomechanics 1 (1968) 235-246
    • (1968) Journal of Biomechanics , vol.1 , pp. 235-246
    • Anlike, M.1    Moritz, W.E.2    Ogden, E.3
  • 3
    • 0016884558 scopus 로고
    • Some experiments on the elastic stability of some highly elastic bodies
    • Beatty M.F., and Dadras P. Some experiments on the elastic stability of some highly elastic bodies. International Journal of Engineering Science 14 (1976) 233-238
    • (1976) International Journal of Engineering Science , vol.14 , pp. 233-238
    • Beatty, M.F.1    Dadras, P.2
  • 4
    • 0020004993 scopus 로고
    • Two modes of instability in a thick-walled collapsible tube conveying a flow
    • Bertram C.D. Two modes of instability in a thick-walled collapsible tube conveying a flow. Journal of Biomechanics 15 (1982) 223-224
    • (1982) Journal of Biomechanics , vol.15 , pp. 223-224
    • Bertram, C.D.1
  • 5
    • 0023525899 scopus 로고
    • The effects of wall thickness, axial strain and end proximity on the pressure-area relation of collapsible tubes
    • Bertram C.D. The effects of wall thickness, axial strain and end proximity on the pressure-area relation of collapsible tubes. Journal of Biomechanics 20 (1987) 863-876
    • (1987) Journal of Biomechanics , vol.20 , pp. 863-876
    • Bertram, C.D.1
  • 6
    • 0001003112 scopus 로고
    • Mapping of instabilities for flow through collapsed tubes of differing length
    • Bertram C.D., Raymond C.J., and Pedley T.J. Mapping of instabilities for flow through collapsed tubes of differing length. Journal of Fluids and Structures 4 (1990) 125-153
    • (1990) Journal of Fluids and Structures , vol.4 , pp. 125-153
    • Bertram, C.D.1    Raymond, C.J.2    Pedley, T.J.3
  • 7
    • 0042941233 scopus 로고    scopus 로고
    • Nonlinear waves in a prestressed thick elastic tube filled with an invisid fluid
    • Demiray H. Nonlinear waves in a prestressed thick elastic tube filled with an invisid fluid. International Journal of Engineering Science 34 (1996) 1519-1530
    • (1996) International Journal of Engineering Science , vol.34 , pp. 1519-1530
    • Demiray, H.1
  • 8
    • 0032132282 scopus 로고    scopus 로고
    • Nonlinear wave modulation in a fluid filled thick elastic tube
    • Demiray H. Nonlinear wave modulation in a fluid filled thick elastic tube. International Journal of Engineering Science 36 (1998) 1061-1082
    • (1998) International Journal of Engineering Science , vol.36 , pp. 1061-1082
    • Demiray, H.1
  • 9
    • 0141438402 scopus 로고
    • Finite axisymmetric deformations of elastic tubes: an approximate method
    • Erbay H.A., and Demiray H. Finite axisymmetric deformations of elastic tubes: an approximate method. Journal of Engineering Mathematics 29 (1995) 451-472
    • (1995) Journal of Engineering Mathematics , vol.29 , pp. 451-472
    • Erbay, H.A.1    Demiray, H.2
  • 10
    • 0001399424 scopus 로고
    • General theory of small elastic deformations superposed on finite elastic deformations
    • Green A.E., Rivlin R.S., and Shield R.T. General theory of small elastic deformations superposed on finite elastic deformations. Proceedings of the Royal Society of London A 211 (1952) 128-154
    • (1952) Proceedings of the Royal Society of London A , vol.211 , pp. 128-154
    • Green, A.E.1    Rivlin, R.S.2    Shield, R.T.3
  • 11
    • 0018681869 scopus 로고
    • Bifurcation of inflated circular cylinders of elastic material under axial loading-II, exact theory for thick-walled tubes
    • Haughton D.M., and Ogden R.W. Bifurcation of inflated circular cylinders of elastic material under axial loading-II, exact theory for thick-walled tubes. Journal of the Mechanics and Physics of Solids 27 (1979) 489-512
    • (1979) Journal of the Mechanics and Physics of Solids , vol.27 , pp. 489-512
    • Haughton, D.M.1    Ogden, R.W.2
  • 12
    • 0029676537 scopus 로고    scopus 로고
    • The stability of cylindrical shells conveying viscous flow
    • Heil M. The stability of cylindrical shells conveying viscous flow. Journal of Fluids and Structures 10 (1996) 173-196
    • (1996) Journal of Fluids and Structures , vol.10 , pp. 173-196
    • Heil, M.1
  • 13
    • 0029140003 scopus 로고
    • Large axisymmetric deformation of a cylindrical shell conveying a viscous flow
    • Heil M., and Pedley T.J. Large axisymmetric deformation of a cylindrical shell conveying a viscous flow. Journal of Fluids and Structures 9 (1995) 237-256
    • (1995) Journal of Fluids and Structures , vol.9 , pp. 237-256
    • Heil, M.1    Pedley, T.J.2
  • 14
    • 43149123393 scopus 로고    scopus 로고
    • LibMesh: a C++ library for parallel adaptive mesh refinement/coarsening simulations
    • Kirk B., Peterson J.W., Stogner R.H., and Carey G.F. LibMesh: a C++ library for parallel adaptive mesh refinement/coarsening simulations. Engineering with Computers 22 (2006) 237-254
    • (2006) Engineering with Computers , vol.22 , pp. 237-254
    • Kirk, B.1    Peterson, J.W.2    Stogner, R.H.3    Carey, G.F.4
  • 16
    • 23844528824 scopus 로고    scopus 로고
    • Three-dimensional collapse and steady flow in thick-walled flexible tubes
    • Marzo A., Luo X.Y., and Bertram C.D. Three-dimensional collapse and steady flow in thick-walled flexible tubes. Journal of Fluids and Structures 20 (2005) 817-835
    • (2005) Journal of Fluids and Structures , vol.20 , pp. 817-835
    • Marzo, A.1    Luo, X.Y.2    Bertram, C.D.3
  • 17
    • 0000193469 scopus 로고
    • Nolinear waves and shock calculations for a hyperelastic fluid-filled tube
    • Moodie T.B., and Swaters G.E. Nolinear waves and shock calculations for a hyperelastic fluid-filled tube. Quarterly Applied Mathematics 47 (1989) 705-732
    • (1989) Quarterly Applied Mathematics , vol.47 , pp. 705-732
    • Moodie, T.B.1    Swaters, G.E.2
  • 18
    • 0033101231 scopus 로고    scopus 로고
    • An analysis of the linearized equations for axisymmetric deformations of hyperelastic cylinders
    • Negrón-Marrero P.V. An analysis of the linearized equations for axisymmetric deformations of hyperelastic cylinders. Mathematics and Mechanics of Solids 4 (1999) 109-133
    • (1999) Mathematics and Mechanics of Solids , vol.4 , pp. 109-133
    • Negrón-Marrero, P.V.1
  • 19
    • 0014522059 scopus 로고
    • Stability of an elastic circular tube of arbitrary wall thickness subjected to an external pressure
    • Nowinski J.L., and Shahinpoor M. Stability of an elastic circular tube of arbitrary wall thickness subjected to an external pressure. International Journal of Non-Linear Mechanics 4 (1969) 143-158
    • (1969) International Journal of Non-Linear Mechanics , vol.4 , pp. 143-158
    • Nowinski, J.L.1    Shahinpoor, M.2
  • 21
    • 0014750079 scopus 로고
    • Shock waves in a mathematical model of the aorta
    • Rudinger G. Shock waves in a mathematical model of the aorta. Journal of Applied Mechanics 37 (1970) 34-37
    • (1970) Journal of Applied Mechanics , vol.37 , pp. 34-37
    • Rudinger, G.1
  • 22
    • 0029748927 scopus 로고    scopus 로고
    • Finite twist and extension of a cylindrical elastic membrane
    • Tait R.J., Steigmann D.J., and Zhong J.L. Finite twist and extension of a cylindrical elastic membrane. Acta Mechanica 117 1 (1996) 129-143
    • (1996) Acta Mechanica , vol.117 , Issue.1 , pp. 129-143
    • Tait, R.J.1    Steigmann, D.J.2    Zhong, J.L.3
  • 23
    • 0015413438 scopus 로고
    • Stability and vibrations of elastic thick-walled cylindrical and spherical shells subjected to pressure
    • Wang A.S.D., and Ertepinar A. Stability and vibrations of elastic thick-walled cylindrical and spherical shells subjected to pressure. International Journal of Non-Linear Mechanics 7 (1972) 539-555
    • (1972) International Journal of Non-Linear Mechanics , vol.7 , pp. 539-555
    • Wang, A.S.D.1    Ertepinar, A.2
  • 24
    • 41649109053 scopus 로고
    • Buckling of circular cylindrical shells under external pressure
    • Yamaki N. Buckling of circular cylindrical shells under external pressure. Reports of the Institute of High Speed Mechanics 20 (1969) 35-55
    • (1969) Reports of the Institute of High Speed Mechanics , vol.20 , pp. 35-55
    • Yamaki, N.1
  • 26
    • 41649090333 scopus 로고    scopus 로고
    • Asymmetric bifurcations of thick-walled circular cylindrical elastic tubes under axial loading and external pressure
    • Zhu Y., Luo X.Y., and Ogden R.W. Asymmetric bifurcations of thick-walled circular cylindrical elastic tubes under axial loading and external pressure. International Journal of Solids and Structures 45 (2008) 3410-3429
    • (2008) International Journal of Solids and Structures , vol.45 , pp. 3410-3429
    • Zhu, Y.1    Luo, X.Y.2    Ogden, R.W.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.