Shear deformable rod theories and fundamental principles of mechanics

摘要

We discuss the role of the principle of virtual work, of the objectivity and of the energy balance in the formulation of planar static rod theories, in a large deformations framework and consider the effects of transverse shear. According to these principles, we also discuss the differences of Haringx approach to equilibrium and buckling over Engesser approach, as well as the advantages of choosing the curvature strain measure as the derivative of the rotation of the cross section with respect to the reference, rather than current, arc length.