메뉴 건너뛰기




Volumn 22, Issue 2, 2010, Pages 1-11

Dynamics of an open elastic rod with intrinsic curvature and twist in a viscous fluid

Author keywords

[No Author keywords available]

Indexed keywords

TURBULENT FLOW; VISCOSITY; VISCOUS FLOW;

EID: 77949283712     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3326075     Document Type: Article
Times cited : (37)

References (34)
  • 1
    • 0000511427 scopus 로고
    • Onset of writhing in circular elastic polymers
    • PLRAAN, 1050-2947, 10.1103/PhysRevA.39.2582.
    • Benham CJ. Onset of writhing in circular elastic polymers. Phys. Rev. A 1989, 39:2582. PLRAAN, 1050-2947, 10.1103/PhysRevA.39.2582.
    • (1989) Phys. Rev. A , vol.39 , pp. 2582
    • Benham, C.J.1
  • 3
    • 0026644556 scopus 로고
    • Trefoil knotting revealed by molecular dynamics of supercoiled DNA
    • SCIEAS, 0036-8075, 10.1126/science.257.5073.1110
    • Schlick T, Olson WK. Trefoil knotting revealed by molecular dynamics of supercoiled DNA. Science 1992, 257:1110. SCIEAS, 0036-8075, 10.1126/science.257.5073.1110
    • (1992) Science , vol.257 , pp. 1110
    • Schlick, T.1    Olson, W.K.2
  • 4
    • 0041673353 scopus 로고    scopus 로고
    • The rotary motor of bacterial flagella
    • ARBOAW, 0066-4154, 10.1146/annurev.biochem.72.121801.161737.
    • Berg HC. The rotary motor of bacterial flagella. Annu. Rev. Biochem. 2003, 72:19. ARBOAW, 0066-4154, 10.1146/annurev.biochem.72.121801.161737.
    • (2003) Annu. Rev. Biochem. , vol.72 , pp. 19
    • Berg, H.C.1
  • 5
    • 33947671442 scopus 로고    scopus 로고
    • Force-extension measurements on bacterial flagella: Triggering polymorphic transformations
    • BIOJAU, 0006-3495, 10.1529/biophysj.106.094037
    • Darnton NC, Berg HC. Force-extension measurements on bacterial flagella: Triggering polymorphic transformations. Biophys. J. 2007, 92:2230. BIOJAU, 0006-3495, 10.1529/biophysj.106.094037
    • (2007) Biophys. J. , vol.92 , pp. 2230
    • Darnton, N.C.1    Berg, H.C.2
  • 7
    • 0034015656 scopus 로고    scopus 로고
    • Real-time imaging of fluorescent flagellar filaments
    • JOBAAY, 0021-9193, 10.1128/JB.182.10.2793-2801.2000
    • Turner L, Ryu WS, Berg HC. Real-time imaging of fluorescent flagellar filaments. J. Bacteriol. 2000, 182:2793. JOBAAY, 0021-9193, 10.1128/JB.182.10.2793-2801.2000
    • (2000) J. Bacteriol. , vol.182 , pp. 2793
    • Turner, L.1    Ryu, W.S.2    Berg, H.C.3
  • 8
    • 85024530638 scopus 로고
    • Stability of two planar loop elasticas
    • JAMCAV, 0021-8936.
    • Zajac EE. Stability of two planar loop elasticas. Trans. ASME, J. Appl. Mech. 1962, 29:136. JAMCAV, 0021-8936.
    • (1962) Trans. ASME, J. Appl. Mech. , vol.29 , pp. 136
    • Zajac, E.E.1
  • 9
    • 0025418925 scopus 로고
    • Analysis of the formation and elimination of loops in twisted cable
    • 10.1109/48.50692, 0364-9059.
    • Coyne J. Analysis of the formation and elimination of loops in twisted cable. IEEE J. Oceanic Eng. 1990, 15:72. 10.1109/48.50692, 0364-9059.
    • (1990) IEEE J. Oceanic Eng. , vol.15 , pp. 72
    • Coyne, J.1
  • 10
    • 0028710510 scopus 로고
    • Nonlinear spatial equilibria and stability of cables under uni-axial torque and thrust
    • JAMCAV, 0021-8936, 10.1115/1.2901571
    • Lu C-L, Perkins NC. Nonlinear spatial equilibria and stability of cables under uni-axial torque and thrust. ASME Trans. J. Appl. Mech. 1994, 61:879. JAMCAV, 0021-8936, 10.1115/1.2901571
    • (1994) ASME Trans. J. Appl. Mech. , vol.61 , pp. 879
    • Lu, C.-L.1    Perkins, N.C.2
  • 11
    • 20344370700 scopus 로고    scopus 로고
    • Nonlinear dynamics and loop formation in Kirchhoff rods with implications to the mechanics of DNA and cables
    • JCTPAH, 0021-9991, 10.1016/j.jcp.2005.03.027
    • Goyal S, Perkins NC, Lee CL. Nonlinear dynamics and loop formation in Kirchhoff rods with implications to the mechanics of DNA and cables. J. Comput. Phys. 2005, 209:371. JCTPAH, 0021-9991, 10.1016/j.jcp.2005.03.027
    • (2005) J. Comput. Phys. , vol.209 , pp. 371
    • Goyal, S.1    Perkins, N.C.2    Lee, C.L.3
  • 13
    • 0040581612 scopus 로고
    • Kirchhoff's theory of rods
    • AHESAN, 0003-9519, 10.1007/BF00379680.
    • Dill EH. Kirchhoff's theory of rods. Arch. Hist. Exact Sci. 1992, 44:1. AHESAN, 0003-9519, 10.1007/BF00379680.
    • (1992) Arch. Hist. Exact Sci. , vol.44 , pp. 1
    • Dill, E.H.1
  • 14
    • 0033874539 scopus 로고    scopus 로고
    • The nonlinear dynamics of filaments
    • NODYES, 0924-090X, 10.1023/A:1008366526875
    • Goriely A, Tabor M. The nonlinear dynamics of filaments. Nonlinear Dyn. 2000, 21:101. NODYES, 0924-090X, 10.1023/A:1008366526875
    • (2000) Nonlinear Dyn. , vol.21 , pp. 101
    • Goriely, A.1    Tabor, M.2
  • 15
    • 84948377536 scopus 로고
    • "Über das Gleichgewicht und die Bewegung eines unendlich dünnen elastischen stabes
    • JRMAA8, 0075-4102.
    • Kirchhoff G. "Über das Gleichgewicht und die Bewegung eines unendlich dünnen elastischen stabes. J. Reine Angew. Math. 1859, 56:285. JRMAA8, 0075-4102.
    • (1859) J. Reine Angew. Math. , vol.56 , pp. 285
    • Kirchhoff, G.1
  • 16
    • 0030137174 scopus 로고    scopus 로고
    • Biological applications of the dynamics of twisted elastic rods
    • JCTPAH, 0021-9991, 10.1006/jcph.1996.0097.
    • Klapper I. Biological applications of the dynamics of twisted elastic rods. J. Comput. Phys. 1996, 125:325. JCTPAH, 0021-9991, 10.1006/jcph.1996.0097.
    • (1996) J. Comput. Phys. , vol.125 , pp. 325
    • Klapper, I.1
  • 18
    • 55049111532 scopus 로고    scopus 로고
    • Dynamics of a closed rod with twist and bend in fluid
    • SJOCE3, 1064-8275, 10.1137/070699780
    • Lim S, Ferent A, Wang XS, Peskin CS. Dynamics of a closed rod with twist and bend in fluid. SIAM J. Sci. Comput. (USA) 2008, 31:273. SJOCE3, 1064-8275, 10.1137/070699780
    • (2008) SIAM J. Sci. Comput. (USA) , vol.31 , pp. 273
    • Lim, S.1    Ferent, A.2    Wang, X.S.3    Peskin, C.S.4
  • 19
    • 49649145203 scopus 로고
    • Flow patterns around heart valves: A numerical method
    • JCTPAH, 0021-9991, 10.1016/0021-9991(72)90065-4.
    • Peskin CS. Flow patterns around heart valves: A numerical method. J. Comput. Phys. 1972, 10:252. JCTPAH, 0021-9991, 10.1016/0021-9991(72)90065-4.
    • (1972) J. Comput. Phys. , vol.10 , pp. 252
    • Peskin, C.S.1
  • 20
    • 0017424014 scopus 로고
    • Numerical analysis of blood flow in the heart
    • JCTPAH, 0021-9991, 10.1016/0021-9991(77)90100-0.
    • Peskin CS. Numerical analysis of blood flow in the heart. J. Comput. Phys. 1977, 25:220. JCTPAH, 0021-9991, 10.1016/0021-9991(77)90100-0.
    • (1977) J. Comput. Phys. , vol.25 , pp. 220
    • Peskin, C.S.1
  • 22
    • 77949293773 scopus 로고    scopus 로고
    • (Cambridge University Press, Cambridge, UK)
    • Peskin CS. Acta Numerica 2002, 1-39. (Cambridge University Press, Cambridge, UK)
    • (2002) Acta Numerica , pp. 1-39
    • Peskin, C.S.1
  • 24
    • 22244457390 scopus 로고    scopus 로고
    • Nonlinear dynamics of filaments. II. Nonlinear analysis
    • PDNPDT, 0167-2789, 10.1016/S0167-2789(97)83389-1
    • Goriely A, Tabor M. Nonlinear dynamics of filaments. II. Nonlinear analysis. Physica D 1997, 105:45. PDNPDT, 0167-2789, 10.1016/S0167-2789(97)83389-1
    • (1997) Physica D , vol.105 , pp. 45
    • Goriely, A.1    Tabor, M.2
  • 25
    • 22044441704 scopus 로고    scopus 로고
    • Kirchhoff's problem of helical equilibria of uniform rods
    • JELSAY, 0374-3535, 10.1007/s10659-005-0931-z
    • Chouaieb N, Maddocks JH. Kirchhoff's problem of helical equilibria of uniform rods. J. Elast. 2004, 77:221. JELSAY, 0374-3535, 10.1007/s10659-005-0931-z
    • (2004) J. Elast. , vol.77 , pp. 221
    • Chouaieb, N.1    Maddocks, J.H.2
  • 27
    • 0034645854 scopus 로고    scopus 로고
    • Twirling and whirling: Viscous dynamics of rotating elastic filaments
    • PRLTAO, 0031-9007, 10.1103/PhysRevLett.84.1623
    • Wolgemuth CW, Powers TR, Goldstein RE. Twirling and whirling: Viscous dynamics of rotating elastic filaments. Phys. Rev. Lett. 2000, 84:1623. PRLTAO, 0031-9007, 10.1103/PhysRevLett.84.1623
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 1623
    • Wolgemuth, C.W.1    Powers, T.R.2    Goldstein, R.E.3
  • 28
    • 0038486745 scopus 로고    scopus 로고
    • Torsional instability of stretched rubber cylinders
    • IJNMAG, 0020-7462, 10.1016/S0020-7462(02)00217-2
    • Gent AN, Hua K-C. Torsional instability of stretched rubber cylinders. Int. J. Non-Linear Mech. 2004, 39:483. IJNMAG, 0020-7462, 10.1016/S0020-7462(02)00217-2
    • (2004) Int. J. Non-Linear Mech. , vol.39 , pp. 483
    • Gent, A.N.1    Hua, K.-C.2
  • 29
    • 0000298338 scopus 로고
    • Large elastic deformations of isotropic materials, IV. Further developments of the general theory
    • PTRMAD, 0962-8428, 10.1098/rsta.1948.0024.
    • Rivlin RS. Large elastic deformations of isotropic materials, IV. Further developments of the general theory. Philos. Trans. R. Soc. London, Ser. A 1948, 241:379. PTRMAD, 0962-8428, 10.1098/rsta.1948.0024.
    • (1948) Philos. Trans. R. Soc. London, Ser. A , vol.241 , pp. 379
    • Rivlin, R.S.1
  • 30
    • 0000298337 scopus 로고
    • Large elastic deformations of isotropic materials, VII. Experiments on the deformation of rubber
    • PTRMAD, 0962-8428, 10.1098/rsta.1951.0004
    • Rivlin RS, Saunders DW. Large elastic deformations of isotropic materials, VII. Experiments on the deformation of rubber. Philos. Trans. R. Soc. London, Ser. A 1951, 243:251. PTRMAD, 0962-8428, 10.1098/rsta.1951.0004
    • (1951) Philos. Trans. R. Soc. London, Ser. A , vol.243 , pp. 251
    • Rivlin, R.S.1    Saunders, D.W.2
  • 31
    • 77949305821 scopus 로고
    • F. R. Eirich, edited by (Academic, New York) Chap. 10.
    • Rivlin RS. Rheology, Theory and Applications 1956, 1. F. R. Eirich, in, edited by (Academic, New York), Chap. 10.
    • (1956) Rheology, Theory and Applications , vol.1
    • Rivlin, R.S.1
  • 32
    • 33746795125 scopus 로고    scopus 로고
    • Nonlinear dynamics of filaments. III. Instabilities of helical rods
    • PRLAAZ, 0950-1207, 10.1098/rspa.1997.0138
    • Goriely A, Tabor M. Nonlinear dynamics of filaments. III. Instabilities of helical rods. Proc. R. Soc. London, Ser. A 1997, 453:2583. PRLAAZ, 0950-1207, 10.1098/rspa.1997.0138
    • (1997) Proc. R. Soc. London, Ser. A , vol.453 , pp. 2583
    • Goriely, A.1    Tabor, M.2
  • 33
    • 33746386391 scopus 로고    scopus 로고
    • Nonlinear dynamics of filaments. IV. Spontaneous looping of twisted elastic rods
    • PRLAAZ, 0950-1207, 10.1098/rspa.1998.0297
    • Goriely A, Tabor M. Nonlinear dynamics of filaments. IV. Spontaneous looping of twisted elastic rods. Proc. R. Soc. London, Ser. A 1998, 454:3183. PRLAAZ, 0950-1207, 10.1098/rspa.1998.0297
    • (1998) Proc. R. Soc. London, Ser. A , vol.454 , pp. 3183
    • Goriely, A.1    Tabor, M.2
  • 34
    • 78650010733 scopus 로고    scopus 로고
    • Discrete elastic model for stretching-induced flagellar polymorphs
    • EULEEJ, 0295-5075, 10.1209/0295-5075/82/28001
    • Wada H, Netz RR. Discrete elastic model for stretching-induced flagellar polymorphs. EPL 2008, 82:28001. EULEEJ, 0295-5075, 10.1209/0295-5075/82/28001
    • (2008) EPL , vol.82 , pp. 28001
    • Wada, H.1    Netz, R.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.