A 1D nonlinear TWB model accounting for in plane cross-section deformation. (September 2016)

• Record Type: Journal Article
• Authors: Gabriele, Stefano; Rizzi, Nicola; Varano, Valerio
• Is Part Of: International journal of solids and structures. Volume 94/95(2016)
• Page Start: 170
• Page End: 178
• Publication Date: 2016-09
• Subjects: Nonlinear elasticity -- Higher gradient theories -- Thin-walled beams; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2016.04.017
• Languages: English
• ISSNs: 0020-7683

Abstract

Abstract: 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.