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A derivation of generalized Saint Venant’s torsion theory from three- dimensional elasticity by asymptotic expansion methods. (English) Zbl 0637.73003
In this work we obtain a generalization and a justification of Saint Venant’s torsion theory in beams by applying the asymptotic expansion method to the Hellinger-Reissner variational formulation of the three- dimensional linearized elasticity model.

MSC:
74B99 Elastic materials
74G50 Saint-Venant’s principle
74S30 Other numerical methods in solid mechanics (MSC2010)
74B05 Classical linear elasticity
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