In this paper a procedure for constructing a 1D continuum equivalent to a Koiter plate, is presented. The result is used to build-up a coarse model of a Thin Walled Beam. The model results to be a nonlinear hyperelastic 1D second gradient continuum, endowed with an internal microstructure described by seven scalar kinematic parameters. The kinematic parameters are able to describe, although in a rough way, the deformation of the TWB in the plane of its cross-section. The nonlinear behaviour of a simply supported strut has been analyzed and the results compared with those given by the commercial finite element code ABAQUS.
Gabriele, S., Rizzi, N., & Varano, V. (2016). A 1D nonlinear TWB model accounting for in plane cross-section deformation. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 94-95, 170-178 [10.1016/j.ijsolstr.2016.04.017].