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Saint-Venant's Principle

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Abstract

The principle of the elastic equivalence of statically equivalent systems of load, or Saint-Venant's Principle, is given a precise mathematical formulation and proof. Counterexamples to traditional verbal statements of the principle are given, and the results are compared with previous mathematical work on the Saint-Venant principle.

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Authors and Affiliations

  1. IBM Watson Research Center, Yorktown Heights, New York

    R. A. Toupin

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  1. R. A. Toupin
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Toupin, R.A. Saint-Venant's Principle. Arch. Rational Mech. Anal. 18, 83–96 (1965). https://doi.org/10.1007/BF00282253

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