A derivation of generalized saint venant’s torsion theory from three-dimensional elasticity by asymptotic expansion methods

Abstract

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

Keywords:

• Elasticity
• asymptotic methods
• beams
• torsion

AMS(MOS):

• 73C02
• 73K05
• 35C20