ALGORITHM FOR DEFORMATION ANALYSIS AND EXPERIMENTAL STUDY OF REINFORCED CONCRETE SLABS WITH UNILATERAL BONDS
| Autor: | I. N. Serpik, S. N. Shvachko, K. V. Muymarov |
|---|---|
| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | Proceedings of the Southwest State University. 21:99-109 |
| ISSN: | 2686-6757 2223-1560 |
| Popis: | A computation scheme for the analysis of reinforced concrete slabs using the finite element method providing possibility to consider unilateral connections has been developed. The stress-strain state of a slab is modeled taking into account physically nonlinear behavior of concrete and reinforcement, reinforcement discreteness, formation of transverse cracks in concrete. Kirchhoff hypotheses are considered to be true for a slab as a whole. It is believed that reinforcement out of cracks has a perfect adhesion with concrete. Concrete is represented by a system of thin layers, each of which is in a two-dimensional stress state. Approximation of displacements in this multilayer scheme is performed using triangular plate finite elements. Deformation of the reinforcement is described by means of rods working only in tension or compression. Unilateral connections are the contact finite elements. Concrete strength is evaluated according to Karpenko criterion. Deformation of concrete between cracks is described in accordance with Murashev’s approach.On the basis of the principle of virtual displacements assembling of elements takes place. A secant method case providing the convergence of the iterative process for a complex nonlinear problem of this type is proposed. At the first stage, a step-by-step increase of external forces is provided until the actual level of loading is achieved. Only one iteration of the secant method is performed at each step. Then, the iterative solution of the problem with repeated change of secant modulus is applied. The efficiency of this algorithm is confirmed on the basis of theoretical analysis and experiment for a rectangular in terms of bending reinforced concrete slab with free bearing on three sides, and not fixed on the fourth side. Three slab samples were tested and formation of cracks was monitored, measurement of deformations and displacements were performed |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|