Configurational balance and entropy sinks

Conference paper

Abstract

For evolutionary processes of material remodelling and growth, a comparison is drawn between a conventional formulation and one that postulates the existence of additional balance laws for the configurational forces.

Keywords

Growth Remodelling Plasticity Configurational forces Eshelby stress Material evolution 
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References

  1. Coleman BD and Gurtin ME (1967). Thermodynamics with internal state variables. J Chem Phys 47(2): 597–613 CrossRefGoogle Scholar
  2. Cowin SC and Hegedus DH (1976). Bone remodeling I: theory of adaptive elasticity. J Elast 6: 313–326 MATHMathSciNetCrossRefGoogle Scholar
  3. Di Carlo A (2005) Surface and bulk growth unified. In: Steinmann P, Maugin GA (eds) Mechanics of material forces. Advances in mechanics and mathematics, vol 11. Springer, pp 53–64Google Scholar
  4. Di Carlo A and Quiligotti S (2002). Growth and balance. Mech Res Commun 29: 449–456 CrossRefGoogle Scholar
  5. Epstein M (2005) Self-driven continuous dislocations and growth. In: Steinmann P, Maugin GA (eds) Mechanics of material forces. Springer, pp 129–139Google Scholar
  6. Epstein M and Maugin GA (1990). The energy-momentum tensor and material uniformity in finite elasticity. Acta Mech 83: 127–133 CrossRefMathSciNetMATHGoogle Scholar
  7. Epstein M and Maugin GA (2000). Thermomechanics of volumetric growth in uniform bodies. Int J Plast 16: 951–978 MATHCrossRefGoogle Scholar
  8. Epstein M and Śniatycki J (2005). Non-local inhomogeneity and Eshelby entities. Phil Mag 85(33–35): 3939–3955 CrossRefGoogle Scholar
  9. Eshelby JD (1951). The force on an elastic singularity. Phil Trans Roy Soc London A 244: 87–112 CrossRefMathSciNetMATHGoogle Scholar
  10. Garikipati K, Arruda EM, Grosh K, Narayanan H and Calve S (2004). A continuum treatment of growth in biological tissue: the coupling of mass transport and mechanics. J Mech Phys Solids 52(7): 1595–1625 MATHCrossRefMathSciNetGoogle Scholar
  11. Garikipati K, Olberding JE, Narayanan H, Arruda EM, Grosh K and Calve S (2006). Biological remodelling: stationary energy, configurational change, internal variables and dissipation. J Mech Phys Solids 54(7): 1493–1515 MATHCrossRefMathSciNetGoogle Scholar
  12. Gurtin ME (2000) Configurational forces as basic concepts of continuum physics. Springer-VerlagGoogle Scholar
  13. Noll W (1967). Materially uniform simple bodies with inhomogeneities. Arch Rational Mech Anal 27: 1–32 CrossRefMathSciNetGoogle Scholar
  14. Podio-Guidugli P (2002). Configurational forces: are they needed?. Mech Res Commun 29: 513–519 MATHCrossRefMathSciNetGoogle Scholar
  15. Segev R and Epstein M (1996). On theories of growing bodies. In: Batra, RC and Beatty, MF (eds) Contemporary research in the mechanics and mathematics of materials, pp 119–130. CIMNE, Barcelona Google Scholar

Copyright information

© Springer Science+Business Media B.V. 2007

Authors and Affiliations

  1. 1.Department of Mechanical and Manufacturing EngineeringThe University of CalgaryCalgaryCanada

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