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Nonlinear and linearized reciprocity relations in structural configurational mechanics

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Summary

In order to provide a firmer foundation on which some reciprocity theorems in Eshelbian mechanics where established earlier, a nonlinear and then linearized formulation of these theorems is presented. To carry out the required operations a simple two-degrees-of-freedom system was chosen. The analysis led to mostly algebraic expressions which are also illustrated graphically.

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References

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Authors and Affiliations

  1. Department of Production Engineering, University of Bremen, Am Biologischen Garten 2, D-28359, Bremen, Germany

    R. Kienzler

  2. Stanford University, Stanford, California, U.S.A.

    G. Herrmann

Authors
  1. R. Kienzler
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  2. G. Herrmann
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Corresponding author

Correspondence to R. Kienzler.

Additional information

Dedicated to Professor Franz Ziegler on the occasion of his 70th birthday

Readers will be very sad to learn of the mournful death on January 7, 2007, of Prof. Dr. sc. techn. Dr. h. c. George Herrmann.

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Kienzler, R., Herrmann, G. Nonlinear and linearized reciprocity relations in structural configurational mechanics. Acta Mech 195, 3–11 (2008). https://doi.org/10.1007/s00707-007-0457-5

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  • DOI: https://doi.org/10.1007/s00707-007-0457-5

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