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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 96
Edited by: B.H.V. Topping and Y. Tsompanakis
Paper 121

The Incremental Plasticity Method Applied to the Drucker-Prager Material Model

D. Rakic1, M. Zivkovic1, S. Vulovic2, D. Divac3 and N. Grujovic1

1Faculty of Mechanical Engineering, University of Kragujevac, Serbia
2Faculty of Information Technology, Metropolitan University, Belgrade, Serbia
3Institute for Water Resources Development "Jaroslav Cerni", Belgrade, Serbia

Full Bibliographic Reference for this paper
D. Rakic, M. Zivkovic, S. Vulovic, D. Divac, N. Grujovic, "The Incremental Plasticity Method Applied to the Drucker-Prager Material Model", in B.H.V. Topping, Y. Tsompanakis, (Editors), "Proceedings of the Thirteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 121, 2011. doi:10.4203/ccp.96.121
Keywords: Drucker-Prager, finite element method, geomechanics, incremental plasticity, dam, PAK.

This paper presents the use of an incremental plasticity theory [1] in the formulation of the stress integration procedure for the Drucker-Prager material model with associative yielding. The results using this approach were compared with the results obtained using the implicit integration scheme called the governing parameter method [2]. The concept of the incremental plasticity method is to reach the solution by calculating the plastic matrix according to the incremental plasticity method and with the use of the total strain increment [3]. The model developed is without the hardening feature, meaning that it contains only one yield surface, dividing the space of the principal stresses into the elastic and elastic-plastic region [4]. Apart from the formulation of material models, this paper presents the development of the model constitutive matrix and algorithm for its implementation. The computational procedure is implemented within the program package PAK [5]. At the end of the paper, the procedure developed is applied to the test examples and the results are compared with the results obtained by using ADINA [6]. These results are compared with the results obtained using the governing parameter method. The material model developed is also applied to the problem of a concrete dam and the surrounding rock mass stability analysis [7], and the results are presented in this paper.

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M. Kojic, R. Slavkovic, M. Zivkovic, N. Grujovic, "PAK-finite element program for linear and nonlinear structural analysis and heat transfer", Faculty for Mechanical Engineering, University of Kragujevac, Kragujevac, 1998.
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Institute for Water Resources Jaroslav Cerni, The main project of the dam Bogovina, "Numerical models of groundwater flow and stress-strain interaction of the dam and rock mass", Serbia, 2004.

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