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Ordinary differential equations of non-linear elasticity I: Foundations of the theories of non-linearly elastic rods and shells

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This research was supported by National Science Foundation Grant MPS73-08587A02. Part of the work reported here was completed while the author was a participant in the 1973 Applied Mathematics Summer Institute at Dartmouth College sponsored by the Office of Naval Research under contract N00014-67-A-0467-0027. A preliminary version of this work appeared as Technical Report TR-73-57 of the Department of Mathematics, University of Maryland, September, 1973.

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Antman, S.S. Ordinary differential equations of non-linear elasticity I: Foundations of the theories of non-linearly elastic rods and shells. Arch. Rational Mech. Anal. 61, 307–351 (1976). https://doi.org/10.1007/BF00250722

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