A new locking-free finite element for N-layer composite beams with interlayer slips and finger joints

Fortuna, Barbara (author), Turk, Goran (author), Schnabl, Simon (author)

This paper presents the formulation of strain-based finite elements for modelling composite beams with finger joints considering slip between the layers. The finite elements are derived according to Reissner beam theory based on the modified principle of virtual work where the displacements and rotations are eliminated from the problem and the axial deformation, shear deformation and curvature of the layers remain only functions to be approximated within the finite element. Lagrange polynomials are used as shape functions to approximate the deformations and various interpolation methods are applied to numerical examples, with the Lobatto integration scheme giving slightly better results than Equidistant. The experimentally measured mechanical properties needed as input data for the numerical model are given for the four glued laminated beech beams. The numerical model is thoroughly verified and validated. The results show that the presented finite element formulation is an efficient tool for practical and accurate calculations.

• Language: English
• Keywords: beam theory, partial interaction, finger joint, beech wood, slip and shear locking, experimental testing
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FGG - Faculty of Civil and Geodetic Engineering; FKKT - Faculty of Chemistry and Chemical Technology
• Publication status: Published
• Publication version: Version of Record
• Year: 2023
• Number of pages: 14 str.
• Numbering: Vol. 220, art. 103936
• PID: 20.500.12556/RUL-146451
• UDC: 624.011.1:624.072.2:674.031.631.2
• ISSN on article: 0168-874X
• DOI: 10.1016/j.finel.2023.103936
• COBISS.SI-ID: 145702659
• Publication date in RUL: 02.06.2023

Record is a part of a journal

• Title: Finite elements in analysis and design
• Shortened title: Finite elem. anal. des.
• Publisher: Elsevier
• ISSN: 0168-874X
• COBISS.SI-ID: 579602

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

• Language: Slovenian
• Keywords: teorija nosilcev, delna interakcija, zobati spoj, les bukve, numerično blokiranje, eksperimentalni testi

Projects

• Funder: ARRS - Slovenian Research Agency
• Project number: P2-0260
• Name: Mehanika konstrukcij