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Keywords: Drucker-Prager, finite element method, geomechanics, incremental plasticity, dam, PAK.

Summary

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.

References

1: Geo-Slope Office, "SigmaW-for finite element stress and deformation analysis V5", User's guide, 2002.
2: M. Kojic, "The governing parameter method for implicit integration of viscoplastic constitutive relations for isotropic and orthotropic metals", Computational Mechanics, 19(1), 49-57, 1996. doi:10.1007/BF02757783
3: M. Kojic, K.J. Bathe, "Inelastic Analysis of Solids and Structures", Springer, Berlin Heidelberg New York, 2005.
4: B. Jeremic, "Lecture Notes on Computational Geomechanics", University of California, Davis University, USA, 2011.
5: 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.
6: ADINA "User Manual", ADINA Engineering, Inc, USA, 1981.
7: 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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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 96 PROCEEDINGS OF THE THIRTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING 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 doi:10.4203/ccp.96.121 purchase the full-text of this paper 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. Summary 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. References 1 Geo-Slope Office, "SigmaW-for finite element stress and deformation analysis V5", User's guide, 2002. 2 M. Kojic, "The governing parameter method for implicit integration of viscoplastic constitutive relations for isotropic and orthotropic metals", Computational Mechanics, 19(1), 49-57, 1996. doi:10.1007/BF02757783 3 M. Kojic, K.J. Bathe, "Inelastic Analysis of Solids and Structures", Springer, Berlin Heidelberg New York, 2005. 4 B. Jeremic, "Lecture Notes on Computational Geomechanics", University of California, Davis University, USA, 2011. 5 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. 6 ADINA "User Manual", ADINA Engineering, Inc, USA, 1981. 7 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. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £130 +P&P)
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