Size-dependent nonlinear post-peak stress-strain curve of normal concrete in uniaxial compression
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摘要: 將單軸壓縮條件下遭受到剪切帶(峰值應力之后呈現線性應變軟化行為)形式的單一剪切破壞普通混凝土試樣的峰后應力-應變曲線斜率的解析解推廣為非線性情形.在峰值應力之前,采用Scott模型描述非線性的本構關系.剪切帶的非線性應變軟化本構關系由導出的最短普通混凝土試樣峰后斜率反算.利用得到的峰后本構關系,對其他較長的普通混凝土試樣的應力-應變曲線進行了預測.預測的峰后應力-應變曲線依賴于試樣的高度,且與實驗結果吻合.估算的剪切帶內部平均塑性剪切應變遠大于在單軸壓縮條件下測得的軸向應變的極限值.若測得的峰后應力-應變曲線被視為本構關系,則普通混凝土柱的峰后延性將被極大地低估.Abstract: The analytical solution to the post-peak slope of the stress-strain curve of a uniaxially compressive concrete specimen subjected to single shear failure in the form of the shear band exhibiting linear strain-softening behavior beyond the peak stress was generalized as the nonlinear case. Prior to the peak stress, the Scott model was adopted to describe the nonlinear constitutive relation. The nonlinear strain-softening constitutive relation was back-calculated from the derived post-peak slope of the shortest normal concrete specimen. Using the assessed post-peak constitutive relation, the stress-strain curves of other longer normal concrete specimens were predicted. The predicted post-peak stress-strain curves are size-dependent and agree with previous experiments. The assessed average plastic shear strain in the shear band is extraordinarily greater than the maximum axial strain measured in uniaxial compression. If the measured post-peak stress-axial strain curve is seen as a constitutive relation, then the post-peak ductility of concrete columns will be greatly underestimated.
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Key words:
- concrete /
- stress-strain curve /
- nonlinearity /
- strain-softening /
- shear band /
- size effect
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