engleski

Numerical modelling of reinforcing bars and prestressing tendons embedded into 3D concrete element

In civil engineering practice, numerical modelling of reinforced concrete and prestressed concrete structures is mainly used as a tool for the assessment of the structural safety of non-standard reinforced and prestressed concrete structures and has been studied by many authors. This paper presents a numerical treatment of reinforcing bars and prestressing tendons in three-dimensional (3D) numerical modelling of reinforced and prestressed concrete structures. The reinforcing bars and prestressing tendons are embedded into the 3D concrete element and both are modelled by one-dimensional (1D) isoparametric three-node elements. These elements make it possible to model arbitrarily curved reinforcing bars and prestressing tendons in space. Three-dimensional twenty-node or twenty-seven-node elements are used for concrete modelling. The attention is mainly focused on the description of the tendon element and its compatibility with the parent element. Equations of the finite element method have been obtained from the incremental form of the principle of virtual work. The influence of the prestressing tendon on the concrete is modelled by distributed normal and tangential load along the tendon and the two forces concentrated on the anchors. Tendon can be prestressed on one end or at both ends. The prestressed equivalent nodal forces are computed to get the contribution of the prestressing to the global stiffness. The developed model makes it possible to compute the friction losses which result from concrete deformation and losses in the anchorage zone. The numerical example is given to compare the results obtained by the described model with the published one.

concrete structures; numerical model; prestressing tendons; reinforcing bars; finite element method; prestressing

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