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Toupin-Berdichevskij theorem cannot be considered as a mathematical expression of Saint-Venant's principle - MaRDI portal

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Toupin-Berdichevskij theorem cannot be considered as a mathematical expression of Saint-Venant's principle (Q1113720)

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scientific article; zbMATH DE number 4081037
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English
Toupin-Berdichevskij theorem cannot be considered as a mathematical expression of Saint-Venant's principle
scientific article; zbMATH DE number 4081037

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    Toupin-Berdichevskij theorem cannot be considered as a mathematical expression of Saint-Venant's principle (English)
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    1986
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    The conditions and the conclusions of the Toupin-Berdichevskij theorem are examined [\textit{R. A. Toupin}, Arch. Ration. Mech. Anal. 18, No.2, 83- 96 (1965; Zbl 0203.268); \textit{V. L. Berdichevskij}, Prikl. Mat. Mekh. 38, 851-864 (1974; Zbl 0349.73009)], whereby it is explained and demonstrated by an example that the theorem cannot be considered as a mathematical expression of Saint-Venant's principle in elasticity.
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