메뉴 건너뛰기




Volumn 70, Issue 1-3, 2003, Pages 197-236

Toward a field theory for elastic bodies undergoing disarrangements

Author keywords

Dissipation; Elasticity; Field equations; Multiscale; Slips; Structured deformations; Voids

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; ELASTICITY; FREE ENERGY; GEOMETRY; STRESSES; TENSORS; THEOREM PROVING; VOLUME FRACTION;

EID: 0346885671     PISSN: 03743535     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:ELAS.0000005584.22658.b3     Document Type: Article
Times cited : (49)

References (34)
  • 2
    • 21844498969 scopus 로고
    • Integral-gradient formulae for structured deformations
    • G. Del Piero and D.R. Owen, Integral-gradient formulae for structured deformations. Arch. Rational Mech. Anal. 131 (1995) 121-138.
    • (1995) Arch. Rational Mech. Anal. , vol.131 , pp. 121-138
    • Del Piero, G.1    Owen, D.R.2
  • 3
    • 0348173732 scopus 로고    scopus 로고
    • Quaderni dell' Istituto Nazionale di Alta Matematica, Gruppo Nazionale di Fisica Matematica No. 58
    • G. Del Piero and D.R. Owen, Structured Deformations. Quaderni dell' Istituto Nazionale di Alta Matematica, Gruppo Nazionale di Fisica Matematica No. 58 (2000).
    • (2000) Structured Deformations
    • Del Piero, G.1    Owen, D.R.2
  • 4
    • 0346283120 scopus 로고    scopus 로고
    • Twin balance laws for bodies undergoing structured motions
    • In: P. Podio-Guidugli and M. Brocato (eds); Springer-Verlag, New York; Research Report No. 01-CNA-005, February 2001, Center for Nonlinear Analysis, Department of Mathematical Sciences, Carnegie Mellon University
    • D.R. Owen, Twin balance laws for bodies undergoing structured motions. In: P. Podio-Guidugli and M. Brocato (eds), Rational Continua, Classical and New. Springer-Verlag, New York (2002); Research Report No. 01-CNA-005, February 2001, Center for Nonlinear Analysis, Department of Mathematical Sciences, Carnegie Mellon University.
    • (2002) Rational Continua, Classical and New
    • Owen, D.R.1
  • 5
    • 0034554131 scopus 로고    scopus 로고
    • Second order structured deformations
    • D.R. Owen and R. Paroni, Second order structured deformations. Arch. Rational Mech. Anal. 155(2000) 215-235.
    • (2000) Arch. Rational Mech. Anal. , vol.155 , pp. 215-235
    • Owen, D.R.1    Paroni, R.2
  • 6
    • 0031356324 scopus 로고    scopus 로고
    • Bulk and interfacial energy densities for structured deformations of continua
    • R. Choksi and I. Fonseca, Bulk and interfacial energy densities for structured deformations of continua. Arch. Rational Mech. Anal. 138 (1997) 37-103.
    • (1997) Arch. Rational Mech. Anal. , vol.138 , pp. 37-103
    • Choksi, R.1    Fonseca, I.2
  • 8
    • 0036543873 scopus 로고    scopus 로고
    • Energetics of two-level shears and hardening of single crystals
    • L. Deseri and D.R. Owen, Energetics of two-level shears and hardening of single crystals. Mathematics and Mechanics of Solids 7 (2002) 113-147.
    • (2002) Mathematics and Mechanics of Solids , vol.7 , pp. 113-147
    • Deseri, L.1    Owen, D.R.2
  • 9
    • 0035425224 scopus 로고    scopus 로고
    • The energy of a one-dimensional structured deformation
    • G. Del Piero, The energy of a one-dimensional structured deformation. Mathematics and Mechanics of Solids 6 (2001) 387-408.
    • (2001) Mathematics and Mechanics of Solids , vol.6 , pp. 387-408
    • Del Piero, G.1
  • 10
    • 0004150758 scopus 로고
    • Springer Tracts in Natural Philosophy 35. Springer-Verlag, New York
    • G. Capriz, Continua with Microstructure. Springer Tracts in Natural Philosophy 35. Springer-Verlag, New York (1989).
    • (1989) Continua with Microstructure
    • Capriz, G.1
  • 12
    • 0004140168 scopus 로고
    • Pitman Monographs and Surveys in Pure and Applied Mathematics 35. Longman Scientific and Technical
    • M. Renardy, W. Hrusa and J.A. Nohel, Mathematical Problems in Viscoelasticity. Pitman Monographs and Surveys in Pure and Applied Mathematics 35. Longman Scientific and Technical (1987).
    • (1987) Mathematical Problems in Viscoelasticity
    • Renardy, M.1    Hrusa, W.2    Nohel, J.A.3
  • 13
    • 0035999517 scopus 로고    scopus 로고
    • Invertible structured deformations and the geometry of multiple slip in single crystals
    • L. Deseri and D.R. Owen, Invertible structured deformations and the geometry of multiple slip in single crystals. Internat. J. Plasticity 18 (2002) 833-849.
    • (2002) Internat. J. Plasticity , vol.18 , pp. 833-849
    • Deseri, L.1    Owen, D.R.2
  • 15
    • 0032316706 scopus 로고    scopus 로고
    • Structured deformations and the refinements of balance laws induced by microslip
    • D. R. Owen, Structured deformations and the refinements of balance laws induced by microslip. Internat. J. Plasticity 14 (1998) 289-299.
    • (1998) Internat. J. Plasticity , vol.14 , pp. 289-299
    • Owen, D.R.1
  • 17
    • 0342511692 scopus 로고
    • La ménique classique, basée sur un axiome d'objectivité
    • (Colloque International, Paris, 1959). Gauthier-Villars, Paris
    • W. Noll, La ménique classique, basée sur un axiome d'objectivité. In: La Méthode Axiomatique dans les Mécaniques Classiques and Nouvelles (Colloque International, Paris, 1959). Gauthier-Villars, Paris (1963), pp. 47-56.
    • (1963) La Méthode Axiomatique dans les Mécaniques Classiques and Nouvelles , pp. 47-56
    • Noll, W.1
  • 18
  • 20
    • 34250963757 scopus 로고
    • The thermodynamics of elastic materials with heat conduction and viscosity
    • B.D. Coleman and W. Noll, The thermodynamics of elastic materials with heat conduction and viscosity. Arch. Rational Mech. Anal. 13 (1963) 167-178.
    • (1963) Arch. Rational Mech. Anal. , vol.13 , pp. 167-178
    • Coleman, B.D.1    Noll, W.2
  • 21
    • 0039334858 scopus 로고
    • Quasilinear hyperbolic systems with involutions
    • C.M. Dafermos, Quasilinear hyperbolic systems with involutions. Arch. Rational Mech. Anal. 94 (1986) 373-389.
    • (1986) Arch. Rational Mech. Anal. , vol.94 , pp. 373-389
    • Dafermos, C.M.1
  • 22
    • 0002303679 scopus 로고
    • On the continuity of the solid and fluid states
    • W. Noll, On the continuity of the solid and fluid states. J. Rational Mech. Anal. 4 (1955) 3-81.
    • (1955) J. Rational Mech. Anal. , vol.4 , pp. 3-81
    • Noll, W.1
  • 24
    • 0015724974 scopus 로고
    • Loading devices and stability of equilibrium
    • Academic Press
    • J.L. Ericksen, Loading devices and stability of equilibrium. In: Nonlinear Elasticity. Academic Press (1973) pp. 161-173.
    • (1973) Nonlinear Elasticity , pp. 161-173
    • Ericksen, J.L.1
  • 26
    • 21144468456 scopus 로고
    • Equilibrium configurations of defective crystals
    • I. Fonseca and G. Parry, Equilibrium configurations of defective crystals. Arch. Rational Mech. Anal. 120 (1992) 245-283.
    • (1992) Arch. Rational Mech. Anal. , vol.120 , pp. 245-283
    • Fonseca, I.1    Parry, G.2
  • 27
    • 0024863353 scopus 로고
    • On defect-preserving deformations in crystals
    • C. Davini and G. Parry, On defect-preserving deformations in crystals. Internat. J. Plasticity 5 (1989) 337-369.
    • (1989) Internat. J. Plasticity , vol.5 , pp. 337-369
    • Davini, C.1    Parry, G.2
  • 28
    • 0032273794 scopus 로고    scopus 로고
    • On the ubiquity of fracture in non-linear elasticity
    • V. Mizel, On the ubiquity of fracture in non-linear elasticity. J. Elasticity 52 (1999) 257-266.
    • (1999) J. Elasticity , vol.52 , pp. 257-266
    • Mizel, V.1
  • 29
    • 0017720128 scopus 로고
    • A theory of inelastic behavior of materials, Part I
    • M. Šilhavý and J. Kratochvíl, A theory of inelastic behavior of materials, Part I. Arch. Rational Mech. Anal. 65 (1977) 97-129
    • (1977) Arch. Rational Mech. Anal. , vol.65 , pp. 97-129
    • Šilhavý, M.1    Kratochvíl, J.2
  • 30
    • 0007585011 scopus 로고
    • A theory of inelastic behavior of materials, Part II
    • M. Šilhavý and J. Kratochvíl, A theory of inelastic behavior of materials, Part II. Arch. Rational Mech. Anal. 65 (1977) 131-152.
    • (1977) Arch. Rational Mech. Anal. , vol.65 , pp. 131-152
    • Šilhavý, M.1    Kratochvíl, J.2
  • 31
    • 0346319021 scopus 로고
    • A new mathematical theory of simple materials
    • W. Noll, A new mathematical theory of simple materials. Arch. Rational Mech. Anal. 48 (1972) 1-50.
    • (1972) Arch. Rational Mech. Anal. , vol.48 , pp. 1-50
    • Noll, W.1
  • 32
    • 0032650520 scopus 로고    scopus 로고
    • An alternative approach to finite plasticity based on material isomorphisms
    • A. Bertram, An alternative approach to finite plasticity based on material isomorphisms. Internat. J. Plasticity 14 (1999) 353-374.
    • (1999) Internat. J. Plasticity , vol.14 , pp. 353-374
    • Bertram, A.1
  • 34
    • 34250512204 scopus 로고
    • Materially uniform simple bodies with inhomogeneities
    • W. Noll, Materially uniform simple bodies with inhomogeneities. Arch. Rational Mech. Anal. 27 (1967) 1-32.
    • (1967) Arch. Rational Mech. Anal. , vol.27 , pp. 1-32
    • Noll, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.