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Conservation laws in the dynamics of rods

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Abstract

Conservation laws and associated integrals of motion for the dynamics of rods are derived. The classic conservation laws are those of total linear and angular momentum, and, for hyperelastic rods, conservation of energy. It will here be shown that an additional conservation law arises in each of two cases. The first case is that of uniform, hyperelastic rods, the second is that of a class of transversely isotropic rods. AMS(MOS) 73C50, 73K05.

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Authors and Affiliations

  1. Department of Mathematics, University of Maryland, 20742, College Park, MD, USA

    John H. Maddocks & Donald J. Dichmann

  2. Institute for Physical Science and Technology, University of Maryland, 20742, College Park, MD, USA

    John H. Maddocks & Donald J. Dichmann

Authors
  1. John H. Maddocks
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  2. Donald J. Dichmann
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Additional information

The research reported in this paper was partially supported by grants from the US Air Force Office of Scientific Research.

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Maddocks, J.H., Dichmann, D.J. Conservation laws in the dynamics of rods. J Elasticity 34, 83–96 (1994). https://doi.org/10.1007/BF00042427

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  • DOI: https://doi.org/10.1007/BF00042427

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