39
Views
0
CrossRef citations to date
0
Altmetric
ORIGINAL ARTICLE

Modified third order shear-deformation model for anisotropic glulam beams via three-field mixed finite-element formulation

, &
Pages 601-614 | Received 12 Jun 2023, Accepted 09 Oct 2023, Published online: 13 Dec 2023

References

  • Baier-Saip, J., et al., 2020. Shear locking in one-dimensional finite element methods. European Journal of Mechanics – A/Solids, 79, 103871.
  • CSI, 2021. SAP2000 integrated software for structural analysis and design. Berkeley: Computers and Structures Inc.
  • Dias, A., et al., 2011. Timber-concrete practical applications – bridge case study. ICE Proceedings Structures and Buildings, 164 (2), 130–140.
  • Dias da Silva, V., 2006. Mechanics and strength of materials. Berlin, Heidelberg: Springer.
  • Dym, C.L. and Shames, I.H., 1985. Energy and finite element methods in structural mechanics. New York: Hemisphere.
  • EN 14080, 2013. Timber structures. Glued laminated timber and glued solid timber. Requirements.
  • EN 1995-1-1, 2004. Eurocode 5: Design of timber structures – Part 1-1: General – common rules and rules for buildings.
  • EN408, 2012. Timber structures. Structural timber and glued laminated timber. Determination of some physical and mechanical properties.
  • Felippa, C.A., 1994. A survey of parametrized variational principles and applications to computational mechanics. Computer Methods in Applied Mechanics and Engineering, 113 (1-2), 109–139.
  • Ferreira, M., et al., 2018. An efficient three-field mixed finite element model for the linear analysis of composite beams with deformable shear connection. Composite Structures, 191, 190–201.
  • Ferreira, M., et al., 2021. Three-field mixed beam-column finite element for geometric and material nonlinear analysis. Structural Engineering and Mechanics, 79 (2), 211–222.
  • Ferreira, M., Providencia, P., and Andrade, A., 2022. A simple model for the twisting of I beams including web distortion – application to members supported along a single flange. Computers & Structures, 260, 106673.
  • Forest Products Laboratory, 1999. Wood handbook. wood as an engineering material. United States Department of Agriculture, Forest Service.
  • Jorge, L., Dias, A., and Costa, R., 2015. Performance of x-lam panels in a sports center with an indoor swimming-pool. Journal of Civil Structural Health Monitoring, 5 (2), 129–139.
  • Levinson, M., 1980. An accurate, simple theory of the statics and dynamics of elastic plates. Mechanics Research Communications, 7 (6), 343–350.
  • Neuenhofer, A. and Filippou, F.C., 1997. Evaluation of nonlinear frame finite-element models. Journal of Structural Engineering, 123 (7), 958–966.
  • Quarteroni, A., Sacco, R., and Saleri, F., 2007. Numerical mathematics. Berlin, Heidelberg: Springer.
  • Reddy, J.N., 1984. A simple higher-order theory for laminated composite plates. Journal of Applied Mechanics, 51 (4), 745–752.
  • Reddy, J.N., 1997. On locking-free shear deformable beam finite elements. Computer Methods in Applied Mechanics and Engineering, 149 (1-4), 113–132.
  • Simo, J.C. and Rifai, M.S., 1990. A class of mixed assumed strain methods and the method of incompatible modes. International Journal for Numerical Methods in Engineering, 29 (8), 1595–1638.
  • Thelandersson, S., and Larsen, H., 2003. Timber engineering. New Jersey: Wiley.
  • Timoshenko, S., and Goodier, J., 1970. Theory of elasticity. 3rd ed. New York: McGraw-Hill.
  • Tonti, E., 2013. The mathematical structure of classical and relativistic physics. New York: Birkhäuser.
  • Zienkiewicz, O.C., Taylor, R.L., and Fox, D., 2014. The finite element method for solid and structural mechanics. 7th ed. New York: Elsevier.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.