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Study on the bearing characteristics of steel-lined reinforced concrete penstock
considering the bond-slip behavior

MA Zhu，SHI Changzheng，WU Hegao
（ State Key Laboratory of Water Resources and Hydropower Engineering Science，Wuhan University，Wuhan 430072，China）

Abstract：Based on the actual engineering and large-scale model test results of steel-lined reinforced con⁃
crete penstock of Three Georges Hydropower Station， the local three-dimensional finite element numerical
analysis model is established. A concrete damaged plasticity model is adopted to simulate the concrete dam⁃
age characteristics and a cohesive element is inserted into the interface to simulate the bond-slip behavior
between the concrete and reinforcement. The effects of the bond-slip between concrete and reinforcement
and the bond strength on the bearing characteristics of penstock are explored by using two kinds of rein⁃
forcement models， namely， separate model and embedded model. The results show that： after considering
the bond-slip， the strain and stress distribution of the reinforcement is more uniform， and the peak stress
is smaller than the other two models. The structural deformation increases， which makes the stress of the
steel liner slightly increase，but the increase is small，within 10%. The number of cracks in the upper of
the penstock increases， and the average crack spacing decreases with the bond strength. The relative slip
between the concrete and reinforcement increases with the decrease of the bond strength，but no more than
the allowable value of the specification， indicating that the concrete and reinforcement can still maintain
good bond condition without debonding. Though the numerical simulation results after considering the
bond-slip are closer to the model test results compared with the other two models， the difference of the
three models is small and the bond-slip behavior between the concrete and reinforcement has little effect
on the safety of the composite penstock. Besides， considering the high computation and complexity of the
bond-slip model， it is reasonable to ignore the bond-slip behavior to simplify the calculation when force
analysis and structural design. As a result， for the closed composite penstock， the slip between the con⁃
crete and reinforcement is small to ignore in the design.
Keywords： steel-lined reinforced concrete penstock； bond-slip； concrete damaged plasticity model； cohe⁃
sive zone model；reinforcement model；bearing characteristics

（责任编辑：王冰伟）

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