메뉴 건너뛰기




Volumn 86, Issue 2, 2007, Pages 155-172

A material momentum balance law for rods

Author keywords

Configurational forces; Conservation laws; Cosserat theory of rods; Material forces; Rod theory

Indexed keywords

COMPUTATION THEORY; PROBLEM SOLVING; THEOREM PROVING; VELOCITY MEASUREMENT;

EID: 33846394661     PISSN: 03743535     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10659-006-9089-6     Document Type: Article
Times cited : (33)

References (46)
  • 1
    • 0008894832 scopus 로고
    • Kinetic relations and the propagation of phase boundaries in solids
    • Abeyaratne, R., Knowles, J.K.: Kinetic relations and the propagation of phase boundaries in solids. Arch. Ration. Mech. Anal. 114, 119-154 (1991)
    • (1991) Arch. Ration. Mech. Anal , vol.114 , pp. 119-154
    • Abeyaratne, R.1    Knowles, J.K.2
  • 2
    • 0010403937 scopus 로고
    • Nucleation, kinetics and admissibility criteria for propagating phase boundaries
    • Dunn, J.E, Fosdick, R, Slemrod, M, eds, Springer, Berlin Heidelberg New York
    • Abeyaratne, R., Knowles, J.K.: Nucleation, kinetics and admissibility criteria for propagating phase boundaries. In: Dunn, J.E., Fosdick, R., Slemrod, M. (eds.) Shock Induced Transitions and Phase Structures in Generalized Media, pp. 1-33. Springer, Berlin Heidelberg New York (1993)
    • (1993) Shock Induced Transitions and Phase Structures in Generalized Media , pp. 1-33
    • Abeyaratne, R.1    Knowles, J.K.2
  • 4
    • 0016038414 scopus 로고
    • Crack propagation in wedged double cantilevered beam specimens
    • Bilek, Z.J., Burns, S.J.: Crack propagation in wedged double cantilevered beam specimens. J. Mech. Phys. Solids 22, 85-95 (1974)
    • (1974) J. Mech. Phys. Solids , vol.22 , pp. 85-95
    • Bilek, Z.J.1    Burns, S.J.2
  • 5
    • 0017914774 scopus 로고
    • Peeling, slipping and cracking: Some one-dimensional free-boundary problems in mechanics
    • Burridge, R., Keller, J.B.: Peeling, slipping and cracking: some one-dimensional free-boundary problems in mechanics. SIAM Rev. 20(1), 31-61 (1978)
    • (1978) SIAM Rev , vol.20 , Issue.1 , pp. 31-61
    • Burridge, R.1    Keller, J.B.2
  • 6
    • 0008180620 scopus 로고    scopus 로고
    • The influence of inertia on the configurational forces in a solid
    • Cermelli, P., Fried, E.: The influence of inertia on the configurational forces in a solid. Proc. R. Soc. Lond. 453A, 1915-1927 (1997)
    • (1997) Proc. R. Soc. Lond , vol.453 A , pp. 1915-1927
    • Cermelli, P.1    Fried, E.2
  • 7
    • 57249085582 scopus 로고    scopus 로고
    • The evolution equation for a disclination in a nematic liquid crystal
    • Cermelli, P., Fried, E.: The evolution equation for a disclination in a nematic liquid crystal. Proc. R. Soc. Lond. 458A, 1-20 (2002)
    • (2002) Proc. R. Soc. Lond , vol.458 A , pp. 1-20
    • Cermelli, P.1    Fried, E.2
  • 8
    • 0030298714 scopus 로고    scopus 로고
    • Hamiltonian dynamics of an elastica and the stability of solitary waves
    • Dichmann, D.J., Maddocks, J.H., Pego, R.L.: Hamiltonian dynamics of an elastica and the stability of solitary waves. Arch. Ration. Mech. Anal. 135, 357-396 (1996)
    • (1996) Arch. Ration. Mech. Anal , vol.135 , pp. 357-396
    • Dichmann, D.J.1    Maddocks, J.H.2    Pego, R.L.3
  • 9
    • 0002293055 scopus 로고
    • Energy relations and the energy-momentum tensor in continuum mechanics
    • Kanninen, M.F, Adler, W.F, Rosenfeld, A.R, Jaffee, R.I, eds, McGraw-Hill, New York
    • Eshelby, J.D.: Energy relations and the energy-momentum tensor in continuum mechanics. In: Kanninen, M.F., Adler, W.F., Rosenfeld, A.R., Jaffee, R.I. (eds.) Inelastic Behavior of Solids, pp. 77-114. McGraw-Hill, New York (1970)
    • (1970) Inelastic Behavior of Solids , pp. 77-114
    • Eshelby, J.D.1
  • 10
    • 33846349654 scopus 로고
    • The calculation of energy release rates
    • Sih, G.C, van Elst, H.C, Broek, D, eds, McGraw-Hill, New York
    • Eshelby, J.D.: The calculation of energy release rates. In: Sih, G.C., van Elst, H.C., Broek, D. (eds.) Future Prospects of Fracture Mechanics, pp. 77-115. McGraw-Hill, New York (1975)
    • (1975) Future Prospects of Fracture Mechanics , pp. 77-115
    • Eshelby, J.D.1
  • 11
    • 0343946230 scopus 로고
    • The energy-momentum tensor of complex continua
    • Kröner, E, Anthony, K.H, eds, University of Waterloo Press, Waterloo
    • Eshelby, J.D.: The energy-momentum tensor of complex continua. In: Kröner, E., Anthony, K.H. (eds.) Continuum Models of Discrete Systems, pp. 651-665. University of Waterloo Press, Waterloo (1980)
    • (1980) Continuum Models of Discrete Systems , pp. 651-665
    • Eshelby, J.D.1
  • 12
    • 0031986147 scopus 로고    scopus 로고
    • On crack mechanics of hard ferromagnets
    • Fomethe, A., Maugin, G.A.: On crack mechanics of hard ferromagnets. Int. J. Non-Linear Mech. 33(1), 85-95 (1998)
    • (1998) Int. J. Non-Linear Mech , vol.33 , Issue.1 , pp. 85-95
    • Fomethe, A.1    Maugin, G.A.2
  • 14
    • 4944233193 scopus 로고    scopus 로고
    • Elastica solution for a nanotube formed by self-adhesion of a folded thin film
    • Glassmaker, N.J., Hui, C.Y.: Elastica solution for a nanotube formed by self-adhesion of a folded thin film. J. Appl. Physi. 96(6), 3429-3434 (2004)
    • (2004) J. Appl. Physi , vol.96 , Issue.6 , pp. 3429-3434
    • Glassmaker, N.J.1    Hui, C.Y.2
  • 15
    • 0004474133 scopus 로고
    • Remarks on the theory of rods
    • Green, A.E., Laws, N.: Remarks on the theory of rods. J. Elast. 3, 179-184 (1973)
    • (1973) J. Elast , vol.3 , pp. 179-184
    • Green, A.E.1    Laws, N.2
  • 16
    • 0018707065 scopus 로고
    • On thermal effects in the theory of rods
    • Green, A.E., Naghdi, P.M.: On thermal effects in the theory of rods. Int. J. Solids Struct. 15, 829-853 (1979)
    • (1979) Int. J. Solids Struct , vol.15 , pp. 829-853
    • Green, A.E.1    Naghdi, P.M.2
  • 17
    • 0000715309 scopus 로고
    • On the theory of rods: II. Developments by direct approach
    • Green, A.E., Naghdi, P.M., Wenner, M.L.: On the theory of rods: II. Developments by direct approach. Proc. R. Soc.. Lond. 337A, 485-507 (1974)
    • (1974) Proc. R. Soc.. Lond , vol.337 A , pp. 485-507
    • Green, A.E.1    Naghdi, P.M.2    Wenner, M.L.3
  • 18
    • 0001965681 scopus 로고
    • The nature of configurational forces
    • Gurtin, M.E.: The nature of configurational forces. Arch. Ration. Mech. Anal. 131, 67-100 (1995)
    • (1995) Arch. Ration. Mech. Anal , vol.131 , pp. 67-100
    • Gurtin, M.E.1
  • 20
    • 0030488982 scopus 로고    scopus 로고
    • Stability of axial motions of nonlinearly elastic loops
    • Healey, T.J.: Stability of axial motions of nonlinearly elastic loops. Z. Angew. Math. Phys. 47(5), 809-816 (1996)
    • (1996) Z. Angew. Math. Phys , vol.47 , Issue.5 , pp. 809-816
    • Healey, T.J.1
  • 21
    • 0022177587 scopus 로고
    • On existence and completeness of conservation laws associated with elementary beam theory
    • Kienzler, R., Hermann, G.: On existence and completeness of conservation laws associated with elementary beam theory. Int. J. Solids Struct. 22(7), 789-796 (1986)
    • (1986) Int. J. Solids Struct , vol.22 , Issue.7 , pp. 789-796
    • Kienzler, R.1    Hermann, G.2
  • 22
    • 0022785454 scopus 로고
    • On material forces in elementary beam theory
    • Kienzler, R., Hermann, G.: On material forces in elementary beam theory. ASME J. Appl. Mech. 53, 561-564 (1986)
    • (1986) ASME J. Appl. Mech , vol.53 , pp. 561-564
    • Kienzler, R.1    Hermann, G.2
  • 24
    • 33846390133 scopus 로고    scopus 로고
    • Fracture mechanics within the theory of strength-of-materials
    • Steinmann, P, Maugin, G. A, eds, Springer, Berlin Heidelberg New York
    • Kienzler, R., Hermann, G.: Fracture mechanics within the theory of strength-of-materials. In: Steinmann, P., Maugin, G. A. (eds.) Mechanics of Material Forces, pp. 193-202. Springer, Berlin Heidelberg New York (2005)
    • (2005) Mechanics of Material Forces , pp. 193-202
    • Kienzler, R.1    Hermann, G.2
  • 25
    • 0002599173 scopus 로고
    • Conservation laws in the dynamics of rods
    • Maddocks, J.H., Dichmann, D.J.: Conservation laws in the dynamics of rods. J. Elast. 34, 83-96 (1994)
    • (1994) J. Elast , vol.34 , pp. 83-96
    • Maddocks, J.H.1    Dichmann, D.J.2
  • 26
    • 33747772109 scopus 로고    scopus 로고
    • Remarks on formulating an adhesion problem using Euler's elastica
    • Majidi, C.: Remarks on formulating an adhesion problem using Euler's elastica. Mech. Res. Commun. 34, 85-90 (2007)
    • (2007) Mech. Res. Commun , vol.34 , pp. 85-90
    • Majidi, C.1
  • 28
    • 0039579180 scopus 로고
    • A thermodynamical theory of turbulence. I. Basic developments
    • Marshall, J.S., Naghdi, P.M.: A thermodynamical theory of turbulence. I. Basic developments. Philos. Trans. R. Soc. Lond. A327, 415-448 (1989)
    • (1989) Philos. Trans. R. Soc. Lond , vol.A327 , pp. 415-448
    • Marshall, J.S.1    Naghdi, P.M.2
  • 29
    • 0029297165 scopus 로고
    • Material forces: Concepts and applications
    • Maugin, G.A.: Material forces: concepts and applications. ASME Appl. Mech. Rev. 48(5), 213-245 (1995)
    • (1995) ASME Appl. Mech. Rev , vol.48 , Issue.5 , pp. 213-245
    • Maugin, G.A.1
  • 30
    • 0026711869 scopus 로고
    • Pseudomomentum and material forces in inhomogeneous materials: Application to the fracture of electromagnetic materials in electromagnetic fields
    • Maugin, G.A., Epstein, M., Trimarco, C.: Pseudomomentum and material forces in inhomogeneous materials: application to the fracture of electromagnetic materials in electromagnetic fields. Int. J. Solids Struct. 29(14/15), 1889-1900 (1992)
    • (1992) Int. J. Solids Struct , vol.29 , Issue.14-15 , pp. 1889-1900
    • Maugin, G.A.1    Epstein, M.2    Trimarco, C.3
  • 31
    • 0002791863 scopus 로고
    • Finite deformation of elastic rods and shells
    • Carlson, D.E, Shield, R.T, eds, Bethlehem PA, Martinus Nijhoff, The Hague, The Netherlands
    • Naghdi, P.M.: Finite deformation of elastic rods and shells. In: Carlson, D.E., Shield, R.T. (eds.) Proceedings of the IUTAM Symposium on Finite Elasticity, Bethlehem PA 1980, pp. 47-104. Martinus Nijhoff, The Hague, The Netherlands (1982)
    • (1980) Proceedings of the IUTAM Symposium on Finite Elasticity , pp. 47-104
    • Naghdi, P.M.1
  • 32
    • 0011228486 scopus 로고    scopus 로고
    • On steady motions of a drawn cable
    • O'Reilly, O.M.: On steady motions of a drawn cable. ASME J. Appl. Mech. 63(1), 180-189 (1996)
    • (1996) ASME J. Appl. Mech , vol.63 , Issue.1 , pp. 180-189
    • O'Reilly, O.M.1
  • 34
    • 0030244510 scopus 로고    scopus 로고
    • Some remarks on invariance requirements for constrained rods
    • O'Reilly, O.M., Turcotte, J.S.: Some remarks on invariance requirements for constrained rods. Math. Mech. Solids 1, 343-348 (1996)
    • (1996) Math. Mech. Solids , vol.1 , pp. 343-348
    • O'Reilly, O.M.1    Turcotte, J.S.2
  • 35
    • 0004501007 scopus 로고    scopus 로고
    • A treatment of shocks in one-dimensional thermomechanical media
    • O'Reilly, O.M., Varadi, P.C.: A treatment of shocks in one-dimensional thermomechanical media. Contin. Mech. Thermodyn. 11(6), 339-352 (1999)
    • (1999) Contin. Mech. Thermodyn , vol.11 , Issue.6 , pp. 339-352
    • O'Reilly, O.M.1    Varadi, P.C.2
  • 36
    • 0033300262 scopus 로고    scopus 로고
    • A treatment of shocks in thermoelastic rods
    • Casey, J, Abeyaratne, R, eds, ASME AMD
    • O'Reilly, O.M., Varadi, P.C.: A treatment of shocks in thermoelastic rods. In: Casey, J., Abeyaratne, R. (eds.) Finite Thermoelasticity. ASME AMD, vol. 236, pp. 105-115 (1999)
    • (1999) Finite Thermoelasticity , vol.236 , pp. 105-115
    • O'Reilly, O.M.1    Varadi, P.C.2
  • 37
    • 12344295629 scopus 로고    scopus 로고
    • On some peculiar aspects of axial motions of closed loops of string in the presence of a singular supply of momentum
    • O'Reilly, O.M., Varadi, P.C.: On some peculiar aspects of axial motions of closed loops of string in the presence of a singular supply of momentum. ASME J. Appl. Mech. 71(4), 541-545 (2004)
    • (2004) ASME J. Appl. Mech , vol.71 , Issue.4 , pp. 541-545
    • O'Reilly, O.M.1    Varadi, P.C.2
  • 38
    • 0034930336 scopus 로고    scopus 로고
    • Effect of work on contact of an elastica with a flat surface
    • Plaut, R.H., Dalrymple, A.J., Dillard, D.A.: Effect of work on contact of an elastica with a flat surface. J. Adhes. Sci. Technol. 15, 565-581 (2001)
    • (2001) J. Adhes. Sci. Technol , vol.15 , pp. 565-581
    • Plaut, R.H.1    Dalrymple, A.J.2    Dillard, D.A.3
  • 39
    • 0035761411 scopus 로고    scopus 로고
    • Elastica analysis of the loop tack adhesion test for pressure sensitive adhesives
    • Plaut, R.H., Williams, N.H., Dillard, D.A.: Elastica analysis of the loop tack adhesion test for pressure sensitive adhesives. J. Adhes. 76, 37-53 (2001)
    • (2001) J. Adhes , vol.76 , pp. 37-53
    • Plaut, R.H.1    Williams, N.H.2    Dillard, D.A.3
  • 40
    • 0041450532 scopus 로고    scopus 로고
    • Configurational balances via variational principles
    • Podio-Guidugli, P.: Configurational balances via variational principles. Interfaces and Free Bound. 3, 223-232 (2001)
    • (2001) Interfaces and Free Bound , vol.3 , pp. 223-232
    • Podio-Guidugli, P.1
  • 41
    • 33846369932 scopus 로고    scopus 로고
    • Podio-Guidugli, P.: Peeling tapes. In: Steinmann, P., Maugin, G.A. (eds.) Mechanics of Material Forces, pp. 253-260. Springer, Berlin Heidelberg New York (2005)
    • Podio-Guidugli, P.: Peeling tapes. In: Steinmann, P., Maugin, G.A. (eds.) Mechanics of Material Forces, pp. 253-260. Springer, Berlin Heidelberg New York (2005)
  • 42
    • 0037332991 scopus 로고    scopus 로고
    • Dynamics of strings made of phase-transforming materials
    • Purohit, P.K., Bhattacharya, K.: Dynamics of strings made of phase-transforming materials. J. Mech. Phys. Solids 51, 393-424 (2003)
    • (2003) J. Mech. Phys. Solids , vol.51 , pp. 393-424
    • Purohit, P.K.1    Bhattacharya, K.2
  • 43
    • 0242608733 scopus 로고
    • On the equation of motion of a chain
    • Reeken, M.: On the equation of motion of a chain. Math. Z. 155(3), 219-237 (1977)
    • (1977) Math. Z , vol.155 , Issue.3 , pp. 219-237
    • Reeken, M.1
  • 46
    • 2442677705 scopus 로고
    • Dynamics of non-equilibrium phase boundaries in a heat conducting nonlinear elastic medium
    • Truskinovsky, L.: Dynamics of non-equilibrium phase boundaries in a heat conducting nonlinear elastic medium. J. Appl. Math. Mech. 51(6), 777-784 (1987)
    • (1987) J. Appl. Math. Mech , vol.51 , Issue.6 , pp. 777-784
    • Truskinovsky, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.