Modeling of root reinforcement of European hornbeam considering the use different fiber bundle models
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1
Department of Hydraulic Engineering and Geotechnics, University of Agriculture in Kraków, Poland
2
Institute of Water Structures, Brno University of Technology, Czech Republic
3
Department of Geology and Soil Science, Mendel University in Brno, Czech Republic
Submission date: 2024-09-24
Final revision date: 2024-10-08
Acceptance date: 2024-11-19
Publication date: 2026-03-04
Corresponding author
Tymoteusz Adam Zydroń
Department of Hydraulic Engineering and Geotechnics, University of Agriculture in Kraków, al. Mickiewicza 24/28, 30-059, Kraków, Poland
Archives of Civil Engineering 2026;72(1):535-550
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ABSTRACT
This study comprises measurements of root systems of European hornbeam in forests located near Winiary, in the vicinity of Gdów (Wiśnickie Foothills, Poland) and near the town of Kanice (Moravia, Czech Republic). Field research included root measurements using the trench wall method conducted at a distance of approximately 1 m from the tree trunks. Tensile strength of the roots collected from both study sites and the geotechnical properties of the soil were determined in the laboratory. Based on the results of field measurements and laboratory tests, the root reinforcement was calculated using selected fibre bundle models. This study was aimed to compare root systems and mechanical properties of roots of the European hornbeam from the two sites and to compare the root reinforcement results obtained using different bundle models, taking into account different approaches to load distribution. The paper also discusses the impact of the tensile strength-strain characteristics of roots and their orientation relative to the direction of slip plane (zone) on the root reinforcement. The results of laboratory tests showed that tensile strength and elasticity of roots collected from both sites are very similar. Calculations showed that the values of root reinforcement computed using fiber bundle models are even 2.5 times smaller than those obtained from the classic Wu-Waldron model.