Abstract
It is shown that the conversion from material to local coordinates in continuum mechanics can be considered as a restricted canonical transformation. As a simple example the longitudinal motion of an elastic bar is discussed.
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References
Eckart, C., Phys. of Fluids 3 (1960) 421.
Broer, L. J. F., and J. A. Kobussen, Physica 61 (1972) 275.
Kobussen, J. A., Some methods of classical mechanics applied to continuous systems, Thesis, Eindhoven Univ. of Technology, Eindhoven, 1973.
Broer, L. J. F., J. Eng. Math. 4 (1970) 1.
Broer, L. J. F., Appl. Sci. Res. 29 (1974) 430.
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Broer, L.J.F., Kobussen, J.A. Conversion from material to local coordinates as a canonical transformation. Appl. Sci. Res. 29, 419–429 (1974). https://doi.org/10.1007/BF00384163
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DOI: https://doi.org/10.1007/BF00384163