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Generalized Mechanics of Continuous Media

  • R. S. Rivlin
Part of the IUTAM Symposia book series (IUTAM)

Abstract

In the last few years there has been a flurry of interest in continuum-mechanical theories in which the deformation is described not only by the usual vector displacement field, but by other vector or tensor fields as well. This interest was stimulated mainly by the papers of Ericksen [1–3], Toupin [4], and Mindlin and Tiersten [5]. Although it is generally stated that these theories apply to materials with structure, it is not usually made very clear what features of the structure are incorporated into the theory and how the results of the theory are to be interpreted in terms of the structure.

Keywords

Rigid Rotation Kinematic State Fixed Origin Elementary Tetrahedron Undetermined Multiplier 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    Ericksen, J.L.: Arch. Eat. Mech. Anal. 4, 231 (1960).MathSciNetMATHCrossRefGoogle Scholar
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    Ericksen, J.L.: Trans. Soc. Rheol. 4, 29 (1960).MathSciNetCrossRefGoogle Scholar
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    Ericksen, J. L.: Trans. Soc. Rheol. 5, 23 (1960).MathSciNetCrossRefGoogle Scholar
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    Toupin, K: Arch. Rat. Mech. Anal. 11, 385 (1962).MathSciNetMATHCrossRefGoogle Scholar
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    Mindlin, R., and H. F. Tiersten: Arch. Rat. Mech. Anal. 11, 415 (1962).MathSciNetMATHCrossRefGoogle Scholar
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    Green, A. E., and R. S. Rivlin: Arch. Rat. Mech. Anal. 16, 325 (1964).MathSciNetMATHGoogle Scholar
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    Green, A. E., and R. S. Rivlin: Arch. Rat. Mech. Anal. 17, 113 (1964).MathSciNetMATHCrossRefGoogle Scholar
  8. [8]
    Green, A. E., and R. S. Rivlin: Proc. IUTAM Conference, Vienna 1966 (in press).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1968

Authors and Affiliations

  • R. S. Rivlin
    • 1
  1. 1.Center for the Application of MathematicsLehigh UniversityBethlehemUSA

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