The application of boundary element method to reinforced concrete A.L. Saleh," M.H. AliabadP "Faculty of Civil Engineering, Universiti Teknologi Malaysia, Locked Bag 791, 80990 Johor Bahru, Johor, Malaysia *Wessex Institute of Technology, Ashurst Lodge, Ashurst, Southampton SO40 7AA, UK Abstract The Dual Boundary Element formulation for modelling of crack growth in reinforced concrete ispresented. The influence of reinforcements on the concrete can be considered as a body forces or attachment forces which are confined to a straight line instead of being distributed over the whole domain. The solution for these attachment forces is obtained from the condition that the deformations of the concrete and the reinforcement under the action of the external loading are compatible.Thefictitiouscrack model is employed to represent the fracture of concrete in which the fracture zone is replaced by a closing forces acting on both crack surfaces. The numerical results obtained are compared to the FEM analysis and experimental results. 1 Introduction It is well known that concrete is highly resistance in compression but fairly weak in tension. Because of this, nearly all reinforced concrete structures are designed on the assumption that the concrete does not resist any tensile forces. Rein- forcement is designed to carry these tensile forces,which are transferred by bond between the interface of the two materials. If this bond is perfect, there will be a composite action between them. Wherever tension occurs it is likely that cracking of the concrete will take place. Since cracking has major influence on the structural performance and because of the practical importance of this problem, much research has been devoted to its solution. Recent developments have been strongly influence by the application of the Finite Element Method (FEM) to the analysis of cracks in reinforced concrete structures. The FEM in conjunc- tion with constitutive relations permits the numerical simulation of the nonlinear stress-strain behaviour of the materials. A classical FEM approach of dealing with the cracking in reinforced concrete is using discrete crack model as proposed by Ngo and Scordelis [1]. In this model, cracking is assumed to occur along the inter element boundaries with a predefined crack pattern. This is normally done by disconnecting displacement parameters for adjoining elements, i.e. by bond-link element. Another well known approach is smeared crack model. In this model, itis generally assumed Transactions on Engineering Sciences vol 13, © 1996 WIT Press, www.witpress.com, ISSN 1743-3533
The application of boundary element method to reinforced concrete
Jun 14, 2023
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