Estudio intrínseco de piezas navier-hiperelásticas (Elastostática de piezas longitudinales conservativas)

This paper analizes the dependence between displacements and adequately defined strains for a class of spatial rods. This dependence is characterized through certain properties of linear differential systems in $L^p$ spaces. General theories of equilibrium of conservative elastic rods can thus be applied, to the special case here considered, but presenting the elastic energy from a frame indifferent viewpoint, both to help clarifying physical meaning and to simplify mathematical development.