考虑徐变效应的FRP约束混凝土塑性模型研究
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摘要
混凝土材料在持续荷载作用下将产生依时性变形,同时,混凝土本构也随着时间发生变化,这一变化不但受到周围环境的影响,还与应变(或应力)状态有直接的关系。本文建立一个Drucker-Prager型塑性模型,通过将徐变中不可恢复的变形分离出来作为塑性应变,进而对强化软化函数及膨胀率函数的形式进行修正,以考虑徐变对混凝土应力应变行为的影响。
FRP约束混凝土柱在既有结构的修补加固及新建结构中的应用越来越广泛,研究其长期力学行为的重要性不言而喻,随着核心混凝土徐变不断改变FRP约束混凝土柱的应变状态,能够准确预测随之发生的应力应变行为依时性变化对既有混凝土结构分析有着重要意义。
本文主要进行了以下研究：(1)首先进行了FRP约束混凝土柱单轴受压徐变的试验和理论研究。在试验中考虑了混凝土强度、试件截面、是否配有钢筋、FRP包裹方式等因素的影响。基于微预应力固结理论和B3模型,给出了FRP约束混凝土徐变预测模型。这一模型不仅能够预测FRP约束普通混凝土柱徐变,还适用于核心混凝土强度高、掺硅粉以及变应力的情况。(2)利用所给FRP约束混凝土柱徐变模型,对FRP种类和数量、FRP材料徐变、水灰比、骨料水泥比、硅粉含量、混凝土强度、加载水平以及截面尺寸等徐变影响因素进行了分析。(3)在312天徐变试验结束后,对其中12个徐变和收缩试件进行了单轴抗压试验以测定其应力应变关系曲线。试验结果表明承受持续荷载的徐变试件与相应的收缩对比试件相比,在受压测试中表现出较高的初始刚度,较低的极限强度,较小的峰值应变和极限应变；(4)建立单轴荷载作用下Drucker-Prager型非约束和约束混凝土的塑性模型,并结合FRP的本构及侧向应力应变关系,对FRP约束混凝土柱的行为进行合理的预测。为了考虑徐变效应,利用前面所建的FRP约束混凝土柱徐变模型,可以将徐变应变中的不可恢复的变形分离出来以考虑徐变效应。
将建立的约束混凝土本构模型与前面的徐变模型结合,可以在实测数据缺乏的情况下对既有混凝土结构的力学行为进行预测,为结构加固设计提供依据。
The structural analysis under in-service conditions requires a reliable constitutive model which takes into account the effects of sustained service loading which results in creep deformations and processes ac-companying creep like hardening and damage. The research's purpose is to present a material model which can accurately predict the ultimate stress-strain response of confined concrete previously subjected to a sustained service load.
An experimental program including two stages was conducted to examine the effects of sustained service loading on the axial behavior of FRP confined concrete. At the first stage, the creep strain of FRP confined concrete under uniaxial compression loading was examined. Then at the second stage, after the sustained load was removed, the specimens were loaded to failure to obtain the stress strain curves. The results of the experimental program indicate that the presence of a sustained service load changes the expected failure mode from FRP rupture to FRP de-lamination and the difference of the stress-strain response is approximately10%between the creep specimen and the companion one. Specially, the sustained loading increases the elastic modulus, slightly decreases the compressive strength, and degrades the deformation capability
Based the microprestress solidification theory, a creep model for FRP confined concrete is developed, in which effects of fly ash and varying stress are taken into account. By treating an irrecoverable or residual strain as the initial value of the plastic strain parameter, a plasticitiry model is modified to reproduce the behavior of confined concrete after creep process. The proposed stress-strain model is shown to accurately describe the compressive behavior of confined concrete of this research and can improve the design and rehabilitation of structures so that they meet safety requirements in future service life.
FRP约束混凝土柱在既有结构的修补加固及新建结构中的应用越来越广泛,研究其长期力学行为的重要性不言而喻,随着核心混凝土徐变不断改变FRP约束混凝土柱的应变状态,能够准确预测随之发生的应力应变行为依时性变化对既有混凝土结构分析有着重要意义。
本文主要进行了以下研究：(1)首先进行了FRP约束混凝土柱单轴受压徐变的试验和理论研究。在试验中考虑了混凝土强度、试件截面、是否配有钢筋、FRP包裹方式等因素的影响。基于微预应力固结理论和B3模型,给出了FRP约束混凝土徐变预测模型。这一模型不仅能够预测FRP约束普通混凝土柱徐变,还适用于核心混凝土强度高、掺硅粉以及变应力的情况。(2)利用所给FRP约束混凝土柱徐变模型,对FRP种类和数量、FRP材料徐变、水灰比、骨料水泥比、硅粉含量、混凝土强度、加载水平以及截面尺寸等徐变影响因素进行了分析。(3)在312天徐变试验结束后,对其中12个徐变和收缩试件进行了单轴抗压试验以测定其应力应变关系曲线。试验结果表明承受持续荷载的徐变试件与相应的收缩对比试件相比,在受压测试中表现出较高的初始刚度,较低的极限强度,较小的峰值应变和极限应变；(4)建立单轴荷载作用下Drucker-Prager型非约束和约束混凝土的塑性模型,并结合FRP的本构及侧向应力应变关系,对FRP约束混凝土柱的行为进行合理的预测。为了考虑徐变效应,利用前面所建的FRP约束混凝土柱徐变模型,可以将徐变应变中的不可恢复的变形分离出来以考虑徐变效应。
将建立的约束混凝土本构模型与前面的徐变模型结合,可以在实测数据缺乏的情况下对既有混凝土结构的力学行为进行预测,为结构加固设计提供依据。
The structural analysis under in-service conditions requires a reliable constitutive model which takes into account the effects of sustained service loading which results in creep deformations and processes ac-companying creep like hardening and damage. The research's purpose is to present a material model which can accurately predict the ultimate stress-strain response of confined concrete previously subjected to a sustained service load.
An experimental program including two stages was conducted to examine the effects of sustained service loading on the axial behavior of FRP confined concrete. At the first stage, the creep strain of FRP confined concrete under uniaxial compression loading was examined. Then at the second stage, after the sustained load was removed, the specimens were loaded to failure to obtain the stress strain curves. The results of the experimental program indicate that the presence of a sustained service load changes the expected failure mode from FRP rupture to FRP de-lamination and the difference of the stress-strain response is approximately10%between the creep specimen and the companion one. Specially, the sustained loading increases the elastic modulus, slightly decreases the compressive strength, and degrades the deformation capability
Based the microprestress solidification theory, a creep model for FRP confined concrete is developed, in which effects of fly ash and varying stress are taken into account. By treating an irrecoverable or residual strain as the initial value of the plastic strain parameter, a plasticitiry model is modified to reproduce the behavior of confined concrete after creep process. The proposed stress-strain model is shown to accurately describe the compressive behavior of confined concrete of this research and can improve the design and rehabilitation of structures so that they meet safety requirements in future service life.
引文
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