메뉴 건너뛰기




Volumn 47, Issue 4, 2006, Pages

On spatial and material covariant balance laws in elasticity

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33646451338     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2190827     Document Type: Article
Times cited : (93)

References (43)
  • 1
    • 0000296207 scopus 로고
    • On the driving traction acting on a surface of strain discontinuity in a continuum
    • Abeyaratne, R. and Knowles, K., " On the driving traction acting on a surface of strain discontinuity in a continuum., " J. Mech. Phys. Solids 38, 345-360 (1990).
    • (1990) J. Mech. Phys. Solids , vol.38 , pp. 345-360
    • Abeyaratne, R.1    Knowles, K.2
  • 2
    • 0008894832 scopus 로고
    • Kinetic relations and the propagation of phase boundaries in solids
    • Abeyaratne, R. and Knowles, K., " Kinetic relations and the propagation of phase boundaries in solids., " Arch. Ration. Mech. Anal. 114, 119-154 (1990).
    • (1990) Arch. Ration. Mech. Anal. , vol.114 , pp. 119-154
    • Abeyaratne, R.1    Knowles, K.2
  • 3
    • 26044451850 scopus 로고    scopus 로고
    • Discrete crystal elasticity and discrete dislocations in crystals
    • Ariza, M. P. and Ortiz, M., " Discrete crystal elasticity and discrete dislocations in crystals., " Arch. Ration. Mech. Anal. 178, 149-226 (2005).
    • (2005) Arch. Ration. Mech. Anal. , vol.178 , pp. 149-226
    • Ariza, M.P.1    Ortiz, M.2
  • 4
    • 0023164107 scopus 로고
    • The force on a lattice defect in an elastic body
    • Batra, R. C., " The force on a lattice defect in an elastic body., " J. Elast. 17, 3-8 (1987).
    • (1987) J. Elast. , vol.17 , pp. 3-8
    • Batra, R.C.1
  • 5
  • 6
    • 17444429601 scopus 로고    scopus 로고
    • Dislocation microstructures and the effective behavior of single crystals
    • Conti, S. and Ortiz, M., " Dislocation microstructures and the effective behavior of single crystals., Arch. Ration. Mech. Anal. 176, 103-147 (2005).
    • (2005) Arch. Ration. Mech. Anal. , vol.176 , pp. 103-147
    • Conti, S.1    Ortiz, M.2
  • 8
    • 0036613063 scopus 로고    scopus 로고
    • From saturated elasticity to finite evolution, plasticity and growth
    • Epstein, M., " From saturated elasticity to finite evolution, plasticity and growth., " Math. Mech. Solids 7, 255-283 (2002).
    • (2002) Math. Mech. Solids , vol.7 , pp. 255-283
    • Epstein, M.1
  • 9
    • 0025559935 scopus 로고
    • The energy-momentum tensor and material uniformity in finite elasticity
    • Epstein, M. and Maugin, G. A., " The energy-momentum tensor and material uniformity in finite elasticity., " Acta Mech. 83, 127-133 (1990).
    • (1990) Acta Mech. , vol.83 , pp. 127-133
    • Epstein, M.1    Maugin, G.A.2
  • 10
    • 77956841830 scopus 로고
    • Special topics in elastostatics
    • Ericksen, J. L., " Special topics in elastostatics., " " Adv. Appl. Mech. 17, 189-224 (1976).
    • (1976) Adv. Appl. Mech. , vol.17 , pp. 189-224
    • Ericksen, J.L.1
  • 11
    • 0000074668 scopus 로고
    • Remarks concerning forces on line defects
    • Ericksen, J. L., " Remarks concerning forces on line defects., " ZAMP 46, 247-271 (1995).
    • (1995) ZAMP , vol.46 , pp. 247-271
    • Ericksen, J.L.1
  • 12
    • 0032319871 scopus 로고    scopus 로고
    • On nonlinear elasticity theory for crystal defects
    • Ericksen, J. L., " On nonlinear elasticity theory for crystal defects., " Int. J. Plast. 14, 9-24 (1998).
    • (1998) Int. J. Plast. , vol.14 , pp. 9-24
    • Ericksen, J.L.1
  • 14
    • 0002293055 scopus 로고
    • Energy relations and the energy-momentum tensor in continuum mechanics
    • edited by M. F.Kannien (McGraw-Hill, New York)
    • Eshelby, J. D., " Energy relations and the energy-momentum tensor in continuum mechanics., " Inelastic Behavior of Solids, edited by, M. F. Kannien, (McGraw-Hill, New York, 1970).
    • (1970) Inelastic Behavior of Solids
    • Eshelby, J.D.1
  • 15
    • 0016576296 scopus 로고
    • The elastic energy-momentum tensor
    • Eshelby, J. D., " The elastic energy-momentum tensor., " J. Elast. 5, 321-335 (1975).
    • (1975) J. Elast. , vol.5 , pp. 321-335
    • Eshelby, J.D.1
  • 16
    • 0019057381 scopus 로고
    • The force on a disclination in a liquid crystal
    • Eshelby, J. D., " The force on a disclination in a liquid crystal., " Philos. Mag. A 42, 359-367 (1980).
    • (1980) Philos. Mag. A , vol.42 , pp. 359-367
    • Eshelby, J.D.1
  • 18
    • 0000404154 scopus 로고
    • Stress-energy-momentum tensors and the Belinfante-Rosenfeld formula
    • Gotay, M. J. and Marsden, J. E., " Stress-energy-momentum tensors and the Belinfante-Rosenfeld formula., " Contemp. Math. 132, 367-392 (1991).
    • (1991) Contemp. Math. , vol.132 , pp. 367-392
    • Gotay, M.J.1    Marsden, J.E.2
  • 19
    • 0000581992 scopus 로고
    • On C auchy's equations of motion
    • Green, A. E. and Rivilin, R. S., " On C auchy's equations of motion., " Z. Angew. Math. Phys. 15, 290-293 (1964).
    • (1964) Z. Angew. Math. Phys. , vol.15 , pp. 290-293
    • Green, A.E.1    Rivilin, R.S.2
  • 20
    • 0001965681 scopus 로고
    • On the nature of configurational forces
    • Gurtin, M. E., " On 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
  • 22
    • 0018455713 scopus 로고
    • On the dissipation associated with equilibrium shocks in finite elasticity
    • Knowles, J. K., " On the dissipation associated with equilibrium shocks in finite elasticity., " J. Elast. 9, 131-158 (1979).
    • (1979) J. Elast. , vol.9 , pp. 131-158
    • Knowles, J.K.1
  • 23
    • 26544460138 scopus 로고
    • Configurational and material forces in the theory of defects in ordered structures
    • Kröner, E., " Configurational and material forces in the theory of defects in ordered structures., " Mater. Sci. Forum 123-125, 447-454 (1993).
    • (1993) Mater. Sci. Forum , vol.123-125 , pp. 447-454
    • Kröner, E.1
  • 24
    • 85024545548 scopus 로고
    • Elastic-plastic deformation at finite strains
    • Lee, E. H., " Elastic-plastic deformation at finite strains., " J. Appl. Mech. 36, 1-6 (1969).
    • (1969) J. Appl. Mech. , vol.36 , pp. 1-6
    • Lee, E.H.1
  • 26
    • 0034340379 scopus 로고    scopus 로고
    • A covariant constitutive descroption of anisotropic non-linear elasticity
    • Lu, J. and Papadopoulos, P., " A covariant constitutive descroption of anisotropic non-linear elasticity., " ZAMP 51, 204-217 (2000).
    • (2000) ZAMP , vol.51 , pp. 204-217
    • Lu, J.1    Papadopoulos, P.2
  • 27
    • 0344063377 scopus 로고    scopus 로고
    • Referential doyle-ericksen formulae for the eshelby tensor in nonlinear elasticity
    • Lu, J. and Papadopoulos, P., " Referential doyle-ericksen formulae for the eshelby tensor in nonlinear elasticity., " ZAMP 54, 964-976 (2003).
    • (2003) ZAMP , vol.54 , pp. 964-976
    • Lu, J.1    Papadopoulos, P.2
  • 32
    • 0029297165 scopus 로고    scopus 로고
    • Material forces: Concepts and applications
    • Maugin, G. A., " Material forces: concepts and applications., " Appl. Mech. Rev. 48, 213-245 (1996).
    • (1996) Appl. Mech. Rev. , vol.48 , pp. 213-245
    • Maugin, G.A.1
  • 33
    • 0026455428 scopus 로고
    • Pseudomomentum and material forces in nonlinear elasticity: Variational formulations and application to brittle fracture
    • Maugin, G. A. and Trimarco, C., " Pseudomomentum and material forces in nonlinear elasticity: variational formulations and application to brittle fracture., " Acta Mech. 94, 1-28 (1992).
    • (1992) Acta Mech. , vol.94 , pp. 1-28
    • Maugin, G.A.1    Trimarco, C.2
  • 34
    • 84919327551 scopus 로고
    • Material forces and configurational forces in the interaction of elastic singularities
    • Nabarro, F. R. N., " Material forces and configurational forces in the interaction of elastic singularities., " Proc. R. Soc. London, Ser. A 398, 209-222 (1975).
    • (1975) Proc. R. Soc. London, Ser. A , vol.398 , pp. 209-222
    • Nabarro, F.R.N.1
  • 36
    • 0001461149 scopus 로고
    • Momentum, pseudomomentum, and wave momentum: Toward resolving the Minkowski-Abraham controversy
    • Nelson, D. F., " Momentum, pseudomomentum, and wave momentum: Toward resolving the Minkowski-Abraham controversy., " Phys. Rev. A 44, 3985-3996 (1991).
    • (1991) Phys. Rev. A , vol.44 , pp. 3985-3996
    • Nelson, D.F.1
  • 37
    • 84980287971 scopus 로고
    • A path-independent integral and the approximate analysis of strain concentration by notches and cracks
    • Rice, J. R., " A path-independent integral and the approximate analysis of strain concentration by notches and cracks., " J. Appl. Mech. 35, 379-386 (1968).
    • (1968) J. Appl. Mech. , vol.35 , pp. 379-386
    • Rice, J.R.1
  • 38
    • 0001279001 scopus 로고
    • Inverse deformation in finite elasticity
    • Shield, R. T., " Inverse deformation in finite elasticity., " Z. Angew. Math. Phys. 18, 490-500 (1967).
    • (1967) Z. Angew. Math. Phys. , vol.18 , pp. 490-500
    • Shield, R.T.1
  • 39
    • 0343755469 scopus 로고
    • Mass, internal energy, and Cauchy's equations in frame-indifferent thermodynamics
    • Šilhav, M., " Mass, internal energy, and Cauchy's equations in frame-indifferent thermodynamics., " Arch. Ration. Mech. Anal. 107, 1-22 (1989).
    • (1989) Arch. Ration. Mech. Anal. , vol.107 , pp. 1-22
    • Šilhav, M.1
  • 40
    • 0021295628 scopus 로고
    • On the rotated stress tensor and the material version of the Doyle-Ericksen formula
    • Simo, J. C. and Marsden, J. E., " On the rotated stress tensor and the material version of the Doyle-Ericksen formula., " Arch. Ration. Mech. Anal. 86, 213-231 (1984).
    • (1984) Arch. Ration. Mech. Anal. , vol.86 , pp. 213-231
    • Simo, J.C.1    Marsden, J.E.2
  • 41
    • 0000744722 scopus 로고
    • The Hamiltonian structure of nonlinear elasticity: The material and convective representations of solids, rods, and plates
    • Simo, J. C., Marsden, J. E., and Krishnaprasad, P. S., " The Hamiltonian structure of nonlinear elasticity: the material and convective representations of solids, rods, and plates., " Arch. Ration. Mech. Anal. 104, 125-183 (1988).
    • (1988) Arch. Ration. Mech. Anal. , vol.104 , pp. 125-183
    • Simo, J.C.1    Marsden, J.E.2    Krishnaprasad, P.S.3
  • 42
    • 0036681238 scopus 로고    scopus 로고
    • On spatial and material settings of hyperelastostatic crystal defects
    • Steinman, P., " On spatial and material settings of hyperelastostatic crystal defects., " J. Mech. Phys. Solids 50, 1743-1766 (2002).
    • (2002) J. Mech. Phys. Solids , vol.50 , pp. 1743-1766
    • Steinman, P.1
  • 43
    • 0036916829 scopus 로고    scopus 로고
    • On spatial and material settings of thermo-hyperelastodynamics
    • Steinman, P., " On spatial and material settings of thermo-hyperelastodynamics., " J. Elast. 66, 109-157 (2002).
    • (2002) J. Elast. , vol.66 , pp. 109-157
    • Steinman, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.