Determination of bond model for 7-wire strands in pretensioned concrete beam




bond stress-slip relationship, digital image correlation, end zone, prestressed concrete, pretensioned concrete beam, strand release


A correct choice of a bond model for prestressing tendons is crucial for the right modelling of a structural behaviour of a pretensioned concrete structure. The aim of this paper is the determination of an optimal bond model for 7-wire strands in a prestressed concrete beam produced in a precast concrete plant of Consolis Poland. ATENA 3D is used to develop finite element models of the beam that differ only in a bond stress-slip relationship of tendons. The bond stress-slip relationships for modelling are taken from the results of bond tests carried out by different researchers in previous years. Moreover, for comparison purposes, a simplified 2D model of the beam is created in Autodesk Robot. The strain distribution at the time of the strand release is found for each of the finite element models. The determined strain distributions are compared with the strain distribution in the beam established by an experimental test using a measuring system based on a digital image correlation. On the basis of the comparison results, the most appropriate bond models for 7-wire strands used in the beam are identified.


Download data is not yet available.


C. W. Dolan, H. R. Hamilton. Prestressed Concrete. Springer International Publishing, 2019.

fib Model Code for Concrete Structures 2010. Ernst & Sohn, Berlin, 2013.

N. McCormick, J. Lord. Digital image correlation. Materials Today 13(12):52–54, 2010.

M. A. Sutton, F. Matta, D. Rizos, et al. Recent progress in digital image correlation: Background and developments since the 2013 W M Murray lecture. Experimental Mechanics 57:1–30, 2017.

M.-T. Lin, C. Furlong, C.-H. Hwang (eds.). Advancement of Optical Methods & Digital Image Correlation in Experimental Mechanics. Springer International Publishing, 2021.

E. B. Dolan, S. W. Verbruggen, R. A. Rolfe. Mechanobiology in Health and Disease, chap. 1 –Techniques for studying mechanobiology, pp. 1–53. Academic Press, 2018.

A. Pagani, R. Azzara, E. Carrera, E. Zappino. Static and dynamic testing of a full-composite VLA by using digital image correlation and output-only ground vibration testing. Aerospace Science and Technology 112:106632, 2021.

B. Pan. Digital image correlation for surface deformation measurement: historical developments, recent advances and future goals. Measurement Science and Technology 29(8):082001, 2018.

J.-N. Perie, J.-C. Passieux (eds.). Advances in Digital Image Correlation (DIC), vol. Special Issue of Applied Sciences. 2020.

B. Omondi, D. G. Aggelis, H. Sol, C. Sitters. Improved crack monitoring in structural concrete by combined acoustic emission and digital image correlation techniques. Structural Health Monitoring 15(3):359–378, 2016.

D. Zhu, S. Liu, Y. Yao, et al. Effects of short fiber and pre-tension on the tensile behavior of basalt textile reinforced concrete. Cement and Concrete Composites 96:33–45, 2019.

E. Martinelli, A. Hosseini, E. Ghafoori, M. Motavalli. Behavior of prestressed CFRP plates bonded to steel substrate: Numerical modeling and experimental validation. Composite Structures 207:974–984, 2019.

C. Lakavath, S. S. Joshi, S. S. Prakash. Investigation of the effect of steel fibers on the shear crack-opening and crack-slip behavior of prestressed concrete beams using digital image correlation. Engineering Structures 193:28–42, 2019.

A. B. Sturm, P. Visintin, R. Seracino, et al. Flexural performance of pretensioned ultra-high performance fibre reinforced concrete beams with CFRP tendons. Composite Structures 243:112223, 2020.

H. Zhao, B. Andrawes. Innovative prestressing technique using curved shape memory alloy reinforcement. Construction and Building Materials 238:117687, 2020.

G. Balazs. Transfer control of prestressing strands. PCI Journal 37(6):60–71, 1992.

B. H. Oh, E. S. Kim, Y. C. Choi. Derivation of development length in pretensioned prestressed concrete members. Journal of the Korea Concrete Institute 12(6):3–11, 2000.

S. N. Lim, Y. C. Choi, B. H. Oh, et al. Bond characteristics and transfer length of prestressing strand in pretensioned concrete structures. In FraMCoS-8 – VIII International Conference on Fracture Mechanics of Concrete and Concrete Structures, pp. 121–128. 2013.

J. J. Orr, A. Darby, T. Ibell, et al. Anchorage and residual bond characteristics of 7-wire strand. Engineering Structures 138:1–16, 2017.

J. Khalaf, Z. Huang. Analysis of the bond behaviour between prestressed strands and concrete in fire. Construction Building Materials 128:12–23, 2016.

A. Ajdukiewicz, J. Mames. Konstrukcje z betonu sprężonego. Wyd. 2 popr. Stowarzyszenie Producentów Cementu, Kraków, 2008.