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Volumn 48, Issue 12, 2010, Pages 2081-2098

On Eshelby tensors in the context of the thermodynamics of open systems: Application to volumetric growth

Author keywords

Calculus of variation; Diffusion of nutrients; Eshelby tensors; Generalized Gibbs Duhem condition; Noether's theorem; Thermodynamics; Transversality conditions; Volumetric growth

Indexed keywords

CALCULUS OF VARIATIONS; ESHELBY TENSOR; GENERALIZED GIBBS-DUHEM CONDITION; NOETHER'S THEOREM; TRANSVERSALITY CONDITIONS; VOLUMETRIC GROWTH;

EID: 78649631195     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijengsci.2010.04.003     Document Type: Article
Times cited : (27)

References (49)
  • 2
    • 0029297165 scopus 로고
    • Material forces: Concepts and applications
    • G.A. Maugin Material forces: concepts and applications ASME Appl. Mech. Rev. 48 1995 213 245
    • (1995) ASME Appl. Mech. Rev. , vol.48 , pp. 213-245
    • Maugin, G.A.1
  • 6
    • 2942516735 scopus 로고    scopus 로고
    • Configurational forces and their application in solid mechanics
    • D. Gross, S. Kolling, R. Mueller, and I. Schmidt Configurational forces and their application in solid mechanics Eur. J. Mech. A Solids 22 2003 669 692
    • (2003) Eur. J. Mech. A Solids , vol.22 , pp. 669-692
    • Gross, D.1    Kolling, S.2    Mueller, R.3    Schmidt, I.4
  • 8
    • 34548624306 scopus 로고    scopus 로고
    • Complementary energy release rates and dual conservation integrals in micropolar elasticity
    • V.A. Lubarda, and X. Markenscoff Complementary energy release rates and dual conservation integrals in micropolar elasticity J. Mech. Phys. Solids 55 10 2007 2055 2072
    • (2007) J. Mech. Phys. Solids , vol.55 , Issue.10 , pp. 2055-2072
    • Lubarda, V.A.1    Markenscoff, X.2
  • 9
    • 33947613600 scopus 로고    scopus 로고
    • On configurational forces in multiplicative elastoplasticity
    • A. Menzel, and P. Steinmann On configurational forces in multiplicative elastoplasticity Int. J. Solids Struct. 44 13 2007 4442 4471
    • (2007) Int. J. Solids Struct. , vol.44 , Issue.13 , pp. 4442-4471
    • Menzel, A.1    Steinmann, P.2
  • 10
    • 38749107721 scopus 로고    scopus 로고
    • Approaches to dynamic fracture modelling at finite deformations
    • M. Fagerström, and R. Larsson Approaches to dynamic fracture modelling at finite deformations J. Mech. Phys. Solids 56 2 2008 613 639
    • (2008) J. Mech. Phys. Solids , vol.56 , Issue.2 , pp. 613-639
    • Fagerström, M.1    Larsson, R.2
  • 11
    • 31744439477 scopus 로고    scopus 로고
    • The concept of a balance law for a cracked elastic body and the configurational force and moment at the crack tip
    • E.K. Agiasofitou, and V.K. Kalpakides The concept of a balance law for a cracked elastic body and the configurational force and moment at the crack tip Int. J. Eng. Sci. 44 1-2 2006 127 139
    • (2006) Int. J. Eng. Sci. , vol.44 , Issue.12 , pp. 127-139
    • Agiasofitou, E.K.1    Kalpakides, V.K.2
  • 12
    • 39049150271 scopus 로고    scopus 로고
    • On boundary potential energies in deformational and configurational mechanics
    • P. Steinmann On boundary potential energies in deformational and configurational mechanics J. Mech. Phys. Solids 56 3 2008 772 800
    • (2008) J. Mech. Phys. Solids , vol.56 , Issue.3 , pp. 772-800
    • Steinmann, P.1
  • 13
    • 0019392124 scopus 로고
    • Aspects of variational arguments in the theory of elasticity: Fact and folklore
    • D.G.B. Edelen Aspects of variational arguments in the theory of elasticity: fact and folklore Int. J. Solids Struct. 17 1981 729 740
    • (1981) Int. J. Solids Struct. , vol.17 , pp. 729-740
    • Edelen, D.G.B.1
  • 14
    • 0000208741 scopus 로고
    • On conservation laws for dissipative systems
    • T. Honein, N. Chien, and G. Herrmann On conservation laws for dissipative systems Phys. Lett. A 155 1991 223 224
    • (1991) Phys. Lett. A , vol.155 , pp. 223-224
    • Honein, T.1    Chien, N.2    Herrmann, G.3
  • 15
    • 0038201883 scopus 로고    scopus 로고
    • Conservation laws for thermo or poroelasticity
    • N. Chien, and G. Herrmann Conservation laws for thermo or poroelasticity J. Appl. Mech. 63 1996 331 336
    • (1996) J. Appl. Mech. , vol.63 , pp. 331-336
    • Chien, N.1    Herrmann, G.2
  • 16
    • 4444274705 scopus 로고    scopus 로고
    • Canonical formulation and conservation laws of thermoelasticity without dissipation
    • V.K. Kalpakides, and G.A. Maugin Canonical formulation and conservation laws of thermoelasticity without dissipation Rep. Math. Phys. 3 54 2004 371 391
    • (2004) Rep. Math. Phys. , vol.3 , Issue.54 , pp. 371-391
    • Kalpakides, V.K.1    Maugin, G.A.2
  • 17
    • 32344446786 scopus 로고    scopus 로고
    • Shape sensitivity analysis and the energy momentum tensor for the kinematic and static model of torsion
    • E. Taroco, and R.A. Feijoo Shape sensitivity analysis and the energy momentum tensor for the kinematic and static model of torsion Int. J. Solids Struct. 43 2006 1908 1927
    • (2006) Int. J. Solids Struct. , vol.43 , pp. 1908-1927
    • Taroco, E.1    Feijoo, R.A.2
  • 18
    • 0000339040 scopus 로고
    • Problems of shape optimal design
    • J. Cea Problems of shape optimal design E.J. Haupt, J. Cea, Optimization of Distributed Parameter Structures 1981 Sijhoff and Noordhoff, Alphen aan den Rijn The Netherlands 1005 1048
    • (1981) Optimization of Distributed Parameter Structures , pp. 1005-1048
    • Cea, J.1
  • 20
    • 53249149575 scopus 로고    scopus 로고
    • Remarks on variational shape sensitivity analysis based on local coordinates
    • F.J. Barthold Remarks on variational shape sensitivity analysis based on local coordinates Eng. Anal. Bound. Elem. 32 11 2007 971 985
    • (2007) Eng. Anal. Bound. Elem. , vol.32 , Issue.11 , pp. 971-985
    • Barthold, F.J.1
  • 24
    • 33748757306 scopus 로고    scopus 로고
    • Continuous symmetries and constitutive laws of thermo-elasto-viscoplastic materials within a thermodynamical framework of relaxation. Part I: Formal aspects
    • V. Magnenet, R. Rahouadj, J.F. Ganghoffer, and C. Cunat Continuous symmetries and constitutive laws of thermo-elasto-viscoplastic materials within a thermodynamical framework of relaxation. Part I: formal aspects Int. J. Plasticity 23 1 2007 87 113
    • (2007) Int. J. Plasticity , vol.23 , Issue.1 , pp. 87-113
    • Magnenet, V.1    Rahouadj, R.2    Ganghoffer, J.F.3    Cunat, C.4
  • 28
    • 0000929676 scopus 로고
    • The determination of the elastic field of an ellipsoidal inclusion
    • J.D. Eshelby The determination of the elastic field of an ellipsoidal inclusion Proc. Royal Soc. London A241 1957 376
    • (1957) Proc. Royal Soc. London , vol.241 , pp. 376
    • Eshelby, J.D.1
  • 30
    • 33747679771 scopus 로고    scopus 로고
    • On canonical equations of continuum thermomechanics
    • G.A. Maugin On canonical equations of continuum thermomechanics Mech. Res. Commun. 33 2006 705 710
    • (2006) Mech. Res. Commun. , vol.33 , pp. 705-710
    • Maugin, G.A.1
  • 31
    • 33749348272 scopus 로고    scopus 로고
    • On the thermomechanics of continuous media with diffusion and or weak nonlocality
    • G.A. Maugin On the thermomechanics of continuous media with diffusion and or weak nonlocality Arch. Appl. Mech. 75 2006 723 738
    • (2006) Arch. Appl. Mech. , vol.75 , pp. 723-738
    • Maugin, G.A.1
  • 32
    • 0035426857 scopus 로고    scopus 로고
    • The role of Eshelby stress in composition-generated and stress-assisted diffusion
    • C.H. Wu The role of Eshelby stress in composition-generated and stress-assisted diffusion J. Mech. Phys. Solids 49 8 2001 1771 1794
    • (2001) J. Mech. Phys. Solids , vol.49 , Issue.8 , pp. 1771-1794
    • Wu, C.H.1
  • 33
    • 0036858080 scopus 로고    scopus 로고
    • Chemical potential and energy momentum tensor in single phase mixtures
    • C.H. Wu Chemical potential and energy momentum tensor in single phase mixtures Mech. Res. Commun. 29 2002 493 499
    • (2002) Mech. Res. Commun. , vol.29 , pp. 493-499
    • Wu, C.H.1
  • 34
    • 0033750776 scopus 로고    scopus 로고
    • Thermomechanics of volumetric growth in uniform bodies
    • M. Epstein, and G.A. Maugin Thermomechanics of volumetric growth in uniform bodies Int. J. Plasticity 16 7-8 2000 951 978
    • (2000) Int. J. Plasticity , vol.16 , Issue.78 , pp. 951-978
    • Epstein, M.1    Maugin, G.A.2
  • 35
    • 0002293055 scopus 로고
    • Energy relations and the energy - Momentum tensor in continuum mechanics
    • J.D. Eshelby Energy relations and the energy - momentum tensor in continuum mechanics M.F. Kanninen, W.F. Adler, A.R. Rosenfield, R.I. Jaffee, Inelastic Behaviour of Solids 1970 McGraw-Hill New York 77 115
    • (1970) Inelastic Behaviour of Solids , pp. 77-115
    • Eshelby, J.D.1
  • 36
    • 16344388412 scopus 로고    scopus 로고
    • A model of the growth of biological tissues using domain derivation techniques. Part I: Constitutive framework
    • J.F. Ganghoffer, and B. Haussy A model of the growth of biological tissues using domain derivation techniques. Part I: Constitutive framework Int. J. Solids Struct. 42 2005 4311 4337
    • (2005) Int. J. Solids Struct. , vol.42 , pp. 4311-4337
    • Ganghoffer, J.F.1    Haussy, B.2
  • 38
    • 35948941585 scopus 로고    scopus 로고
    • Differential geometry, least action principles and irreversible processes
    • J.F. Ganghoffer Differential geometry, least action principles and irreversible processes Rend. Sem. Mat. Univ. Pol. Torino 65 2 2007 43 73
    • (2007) Rend. Sem. Mat. Univ. Pol. Torino , vol.65 , Issue.2 , pp. 43-73
    • Ganghoffer, J.F.1
  • 39
    • 0003345224 scopus 로고
    • Applications of Lie groups to differential equations
    • Springer New York
    • P.J. Olver Applications of Lie groups to differential equations Graduate Texts in Mathematics vol. 107 1993 Springer New York
    • (1993) Graduate Texts in Mathematics , vol.107
    • Olver, P.J.1
  • 40
    • 0001965681 scopus 로고
    • On the nature of configurational forces
    • M.E. Gurtin On the nature of configurational forces Arch. Rat. Mech. Anal. 131 1995 67 100
    • (1995) Arch. Rat. Mech. Anal. , vol.131 , pp. 67-100
    • Gurtin, M.E.1
  • 42
    • 0036644705 scopus 로고    scopus 로고
    • On the mechanics of a growing tumor
    • D. Ambrosi, and F. Mollica On the mechanics of a growing tumor Int. J. Eng. Sci. 40 2002 1297 1316
    • (2002) Int. J. Eng. Sci. , vol.40 , pp. 1297-1316
    • Ambrosi, D.1    Mollica, F.2
  • 43
    • 0028419679 scopus 로고
    • Stress-dependent finite growth in soft elastic tissues
    • E.K. Rodriguez, A. Hoger, and A.D. McCullogh Stress-dependent finite growth in soft elastic tissues J. Biomech. 27 4 1994 455 467
    • (1994) J. Biomech. , vol.27 , Issue.4 , pp. 455-467
    • Rodriguez, E.K.1    Hoger, A.2    McCullogh, A.D.3
  • 45
    • 85015553125 scopus 로고
    • Biomechanics of growth, remodeling and morphogenesis
    • L. Taber Biomechanics of growth, remodeling and morphogenesis Appl. Mech. Rev. 48 1995 487 545
    • (1995) Appl. Mech. Rev. , vol.48 , pp. 487-545
    • Taber, L.1
  • 47
    • 16344388412 scopus 로고    scopus 로고
    • Mechanical modeling of growth considering domain variation. Part I: Constitutive framework
    • J.F. Ganghoffer, and B. Haussy Mechanical modeling of growth considering domain variation. Part I: Constitutive framework Int. J. Solids Struct. 42 15 2005 4311 4337
    • (2005) Int. J. Solids Struct. , vol.42 , Issue.15 , pp. 4311-4337
    • Ganghoffer, J.F.1    Haussy, B.2
  • 48
    • 14044250250 scopus 로고    scopus 로고
    • Modelling avascular tumour growth
    • H. Bryne Modelling avascular tumour growth L. Preziosi, Cancer Modeling and Simulation 2003 Chapman & Hall/CRC
    • (2003) Cancer Modeling and Simulation
    • Bryne, H.1
  • 49
    • 84953648079 scopus 로고
    • Application of finite elasticity theory to the deformation of rubbery materials
    • P.J. Blatz, and W.L. Ko Application of finite elasticity theory to the deformation of rubbery materials Trans. Soc. Rheol. 6 1962 223 251
    • (1962) Trans. Soc. Rheol. , vol.6 , pp. 223-251
    • Blatz, P.J.1    Ko, W.L.2


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