Continuum Mechanics and Thermodynamics

, Volume 18, Issue 6, pp 361–365 | Cite as

The energy jump condition for thermomechanical media in the presence of configurational forces

Original Article


In the context of a propagating surface of discontinuity in a thermomechanical medium, this brief communication establishes a relationship between the supplies of material momentum, linear momentum, energy and entropy. The relationship is equivalent to the jump condition in energy and is also framed in the context of a driving traction.


Configurational forces Singular supplies Discontinuities 


46.05 46.25 


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  1. 1.
    Gurtin M.E. (1995) The nature of configurational forces. Arch. Rational Mech. Anal. 131, 67–100CrossRefMathSciNetMATHGoogle Scholar
  2. 2.
    Gurtin M.E. (2000) Configurational Forces as Basic Concepts in Continuum Physics. Springer, Berlin Heidelberg New yorkGoogle Scholar
  3. 3.
    Kalpakides V.L., Dascalu C. (2002) On the configurational force balance in thermomechanics. Proc. R. Soc. Lond. A. 458: 3023–3039MathSciNetCrossRefMATHGoogle Scholar
  4. 4.
    Maugin G.A. (1995) Material forces: concepts and applications. ASME Appl. Mech. Rev. 48(5): 213–245Google Scholar
  5. 5.
    Green A.E., Naghdi P.M. (1995) A unified approach for construction of theories of deformable media. I. Classical continuum physics. Proc. R. Soc. Lond. A. 448, 335–356MathSciNetMATHGoogle Scholar
  6. 6.
    Abeyaratne R., Knowles J.K. (2000) A note on the driving traction acting on a propagating interface: adiabatic and non-adiabatic processes of a continuum. ASME J. Appl. Mech. 67, 829–831MATHCrossRefGoogle Scholar
  7. 7.
    Truskinovsky L.M. (1987) Dynamics of non-equilibrium phase boundaries in a heat conducting non-linearly elastic medium. J. Appl. Math. Mech. (PMM) 51, 777–784CrossRefMathSciNetGoogle Scholar
  8. 8.
    Wilmański K. (1998) Thermomechanics of Continua. Springer, Berlin Heidelberg New YorkMATHGoogle Scholar
  9. 9.
    Green A.E., Naghdi P.M. (1978) A derivation of the jump condition for entropy in thermomechanics. J. Elas. 8, 179–182CrossRefMathSciNetMATHGoogle Scholar

Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringUniversity of California at BerkeleyBerkeleyUSA

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