A comparison of displacement-based Timoshenko multi-fiber beams finite element formulations and elasto-plastic applications. Issue 4 (3rd April 2018)

• Record Type: Journal Article
• Authors: Bitar, Ibrahim; Grange, Stéphane; Kotronis, Panagiotis; Benkemoun, Nathan
• Is Part Of: European journal of environmental and civil engineering. Volume 22:Issue 4(2018)
• Page Start: 464
• Page End: 490
• Publication Date: 2018-04-03
• Subjects: Timoshenko -- multi-fiber -- displacement-based beam -- shape functions; Sustainable engineering -- Periodicals; Civil engineering -- Environmental aspects -- Periodicals; Environmental engineering -- Periodicals; 628
• DOI: 10.1080/19648189.2016.1210031
• Languages: English
• ISSNs: 1964-8189

Abstract

Abstract : Various formulations of displacement-based Timoshenko multi-fiber beams are compared in this article. After a short literature review, the presentation of the shape functions leading to the stiffness matrices and the consistent nodal forces relative to each formulation are presented and their performances are studied using elastic or elastic perfectly plastic constitutive laws and simple to complex static loadings. The advantages and disadvantages of each formulation are highlighted and general conclusions are drawn on the use of displacement-based Timoshenko multi-fiber beams in engineering. An innovative solution is finally proposed to improve the performance for the case of axial-bending interactions.