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On a class of conservation laws in linear thermoviscoelastostatics

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Summary

Noether's theorem on variational principles invariant under a group of infinitesimal transformation is used to obtain a class of conservation laws associated with linear thermoviscoelastostatics.

These laws represent generalizations of certain path independent integrals in linear viscoelastostatics.

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References

  1. Günther: Über einige Randintegrale der Elastomechanik. Abh. Braunschw. Wiss. Ges.14, 54 (1962).

    Google Scholar 

  2. Knowles, J. K., Sternberg, E.: On a class of conservation laws in linearized and finite elasticity. Arch. Rat. Mech. Anal.44, 187–211 (1972).

    Google Scholar 

  3. Fletcher, D. C.: Conservation laws in linear elastodynamics. Arch. Rat. Mech. Anal.60, 329–353 (1976).

    Google Scholar 

  4. Noether, E.: Invariante Variationsprobleme. Göttinger Nachrichten, Mathematisch-Physikalische Klasse2, 235–257 (1918).

    Google Scholar 

  5. Bui, H. D., Jarić, J., Radenković, D.: Loi de conservation en thermoelasticite lineaire. Raport interne No. 3, Ecole Polytechnique E.N.S. des Mines de Paris, 1977.

  6. Jiang, Q.: On conservation laws in viscoelastostatics. Acta Mechanica56, 219–227 (1985).

    Google Scholar 

  7. Vukobrat, M., Jarić, J.: Noether's theorem in the linear theory of elastic dielectrics. Theoretical and Applied Mechanics7, 73–81 (1981).

    Google Scholar 

  8. Christensen, R. M.: Theory of viscoelasticity. Academic Press 1971.

  9. Spiegel, M. R.: Laplace transforms. McGraw-Hill 1965.

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Authors and Affiliations

  1. Faculty of Transport and Traffic Engineering, V. Stepe 305, YU-11 000, Beograd, Yugoslavia

    M. Vukobrat

  2. Faculty of Mining and Geology, Djušina 7, YU-11 000, Beograd, Yugoslavia

    D. Kuzmanović

Authors
  1. M. Vukobrat
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  2. D. Kuzmanović
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Vukobrat, M., Kuzmanović, D. On a class of conservation laws in linear thermoviscoelastostatics. Acta Mechanica 78, 169–174 (1989). https://doi.org/10.1007/BF01174008

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  • DOI: https://doi.org/10.1007/BF01174008

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