Long-Term Stability Analysis for High Arch Dam Based on Time-Dependent Deformation Reinforcement Theory
Publication: International Journal of Geomechanics
Volume 17, Issue 4
Abstract
A high arch dam project causes an intense disturbance to its geological environment, with high in situ stress in the critical instability state, and the creep and damage of abutment rock mass resulting from the process of nonequilibrium evolution have a serious impact on the long-term safety of an arch dam. In this study, the long-term stability of an arch dam was evaluated with time-dependent deformation reinforcement theory (TDRT), in which plastic complementary energy (PCE) was used to judge the steady state or viscoplastic flow of the structure, the overstresses beyond the yield criterion were the driving force for nonequilibrium evolution of rock structures, and the unbalanced forces were the required reinforcement forces. Based on a viscoplastic model and asymptotic stability analysis, the principle of minimum plastic complementary energy was proved for perfect and hardening yielding, in which viscoplastic structures deform to the limit steady state at which the PCE is minimized under time-invariant loading and boundary conditions. Thus, the PCE is a reasonable and quantitative criterion for stability evolution, and unbalanced forces can be used to determine the reinforcement because they have a completely mathematical basis. The expression of PCE and unbalanced forces for the finite-element method (FEM) were programmed, the theory was implemented in a parallel FEM code, and the long-term safety of Jinping Arch Dam in China was evaluated.
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Acknowledgments
The work reported here was supported by the National Science Foundation of China with Grant 51479097, the National Basic Research Program of China with Grant 2015CB057904, the State Key Laboratory of Hydroscience and Engineering of Hydroscience with Grant 2016-KY-2, and the Program for New Century Excellent Talents in University with Grant NCET-13-0323.
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Published In
International Journal of Geomechanics
Volume 17 • Issue 4 • April 2017
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Aug 31, 2015
Accepted: Jun 16, 2016
Published online: Aug 31, 2016
Discussion open until: Jan 31, 2017
Published in print: Apr 1, 2017
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