Abstract
Abstract In this work, a two-dimensional finite element (FE) model for physical and geometric nonlinear analysis of reinforced concrete beams and plane frames, developed by the authors, is presented. The FE model is based on the Euler-Bernoulli Beam Theory, in which shear deformations are neglected. The bar elements have three nodes with a total of seven degrees of freedom. Three Gauss-points are utilized for the element integration, with the element section discretized into layers at each Gauss point (Fiber Model). It is assumed that concrete and reinforcing bars are perfectly bonded, and each section layer is assumed to be under a uniaxial stress-state. Nonlinear constitutive laws are utilized for both concrete and reinforcing steel layers, and a refined tension-stiffening model, developed by the authors, is included. The Total Lagrangean Formulation is adopted for geometric nonlinear consideration and several methods can be utilized to achieve equilibrium convergence of the nonlinear equations. The developed model is implemented into a computer program named ANEST/CA, which is validated by comparison with some tests on RC beams and plane frames, showing an excellent correlation between numerical and experimental results.
Highlights
Due to the advance in technology combined with the use of more resistant materials, more complex and slender structures are currently being designed, arising the necessity of more elaborated computational methods for structural analysis and design
The developed model is implemented into a computer program named ANEST/CA, which is validated by comparison with some tests on RC beams and plane frames, showing an excellent correlation between numerical and experimental results
Only a few computer programs are available for nonlinear finite element analysis of RC structures, and their cost is high in comparison with other programs
Summary
Due to the advance in technology combined with the use of more resistant materials, more complex and slender structures are currently being designed, arising the necessity of more elaborated computational methods for structural analysis and design. In Brazil, Schulz and Reis [9] have utilized a model similar to the one by Marí [6] to analyze three-dimensional RC frame structures, by considering physical nonlinearity by means of constitutive equations recommended by Design Codes (NBR-6118 and CEB 90), disregarding the tension-stiffening effect, and by considering the Total Lagrangian formulation for geometric nonlinearity There is another kind of FE bar model that uses a formulation in terms of forces instead of displacements, as the model by Taucer, Spacone and Filippou [10]. The internal node at the element midpoint has only one
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