General FEM model of prestressing tendons

  • Daniel Antoniak Wrocław University of Technology
  • Piotr Konderla Wrocław University of Technology

Abstract

The paper presents a general numerical model for the analysis of prestressed concrete with the application to beam, thin shell and volume type of prestressed structures. Discrete, embedded approach is used to model curved, bonded or unbonded tendons. Also a partial bond may be introduced by the friction between the tendon and the surrounding body. In the finite element model, two types of elements are obtained. One is a typical finite element for the kind of structure modeled, and the other is an embedded, three noded, subparametric tendon element. Equations of the finite element method have been obtained from the incremental form of the principle of virtual work providing geometrical linearity and possibility of nonlinear physical relations. Numerical examples illustrate application to modeling of beam, thin shell and volume type of prestressed structures as well as the impact of the friction on the axial force distribution in prestressing tendon.

Keywords

References

[1] S. Ahmad, B.M. Irons, O.C. Zienkiewicz. Analysis of thick and thin shell structures by curved finite elements. International Journal for Numerical Methods in Engineering, 2: 419- 451, 1970.
[2] D. Antoniak, P. Konderla. Nonlinear model of prestressing tendons. Zeitschrijt für Angewandte Mathematik und Mechanik, 77(Suppl. 1): 817- 818, 1996.
[3] D. Antoniak, P. Konderla. Physical modelling of prestressed structures. In Proceedings of the XII Polish Conference on Computer Methods in Mechanics, pages 99- 106, May 1997.
[4] D. Antoniak, P. Konderla. Modeling and numerical analysis of prestressed concrete shells. Archives of Civil Engineering, XLV(2): 119-136, 1999.
[5] S. Balakrishnan, D.W. Murray. Finite element prediction of reinforced concrete behaviour. Structural Engineering Report No. 138, University of Alberta, Edmonton, Canada, 1986.
Published
Mar 29, 2023
How to Cite
ANTONIAK, Daniel; KONDERLA, Piotr. General FEM model of prestressing tendons. Computer Assisted Methods in Engineering and Science, [S.l.], v. 7, n. 4, p. 435-448, mar. 2023. ISSN 2956-5839. Available at: <https://cames.ippt.pan.pl/index.php/cames/article/view/1201>. Date accessed: 14 nov. 2024.
Section
Articles