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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 108
PROCEEDINGS OF THE FIFTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING
Edited by: J. Kruis, Y. Tsompanakis and B.H.V. Topping
Paper 26

Enhanced Nonlinear Analysis of Three-Dimensional Concrete Structures using Damage Plasticity Modelling

A. Barrero Bilbao, B.A. Izzuddin and R.L. Vollum

Department of Civil and Environmental Engineering, Imperial College London, United Kingdom

Full Bibliographic Reference for this paper
A. Barrero Bilbao, B.A. Izzuddin, R.L. Vollum, "Enhanced Nonlinear Analysis of Three-Dimensional Concrete Structures using Damage Plasticity Modelling", in J. Kruis, Y. Tsompanakis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 26, 2015. doi:10.4203/ccp.108.26
Keywords: concrete, constitutive model, plasticity theory, damage mechanics, algorithmic robustness, line search, fracture.

Summary
This paper presents an improved numerical procedure for the nonlinear analysis of three-dimensional continuum concrete structures employing damage-plasticity constitutive modelling. Previous convergence difficulties when performing single-step return mappings for larger strain increments necessitated resorting to sub-stepping methods, at the cost of a greater computational expense when calculating the consistent algorithmic tangent stiffness. Quadratic convergence rate at the global level while maintaining the single-step return scheme for the constitutive model is achieved here with a potential reduction in the number of simultaneous equations and with the utilisation of a basic line search technique for particular cases. Initial singularity of the Jacobian matrix is thereby avoided, ensuring a reduction in the convergence measure towards the converged solution. The improved robustness of the enhanced algorithm is confirmed, and its performance at larger scale is demonstrated through two benchmark application examples.

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