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Inverse deformation results for elastic materials

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Zusammenfassung

Es wird gezeigt, dass die Umkehrsätze für die Deformation allgemeiner elastischer Körper unmittelbar aus einem Variationsprinzip gewonnen werden können, welches sich auf Gleichgewichtszustände bezieht.

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References

  1. R. T. Shield,Inverse Deformation Results in Finite Elasticity, Z. angew. Math. Phys.18, 490–500 (1967)

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  2. R. A. Toupin,Theories of Elasticity with Couple-stress, Archs ration. Mech. Analysis17, 85–112 (1964).

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  3. J. E. Adkins,A Reciprocal Property of the Finite Plane Strain Equations, J. Mech. Phys. Solids6, 267–275 (1958).

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Authors and Affiliations

  1. Dept. of Theoretical and Applied Mechanics, University of Illinois, Urbana, Illinois, USA

    Donald E. Carlson

  2. Div. Eng. and Applied Science, California Institute of Technology, Pasadena, California, USA

    T. Shield

Authors
  1. Donald E. Carlson
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  2. T. Shield
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Carlson, D.E., Shield, T. Inverse deformation results for elastic materials. Journal of Applied Mathematics and Physics (ZAMP) 20, 261–263 (1969). https://doi.org/10.1007/BF01595564

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  • DOI: https://doi.org/10.1007/BF01595564

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