循环荷载下混凝土开裂-闭合行为计算方法研究

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振动与冲击 ›› 2021, Vol. 40 ›› Issue (9) : 254-263.

论文

李晓琴,张田

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Calculation method of cracking-closing behaviour of concrete under cyclic loading

LI Xiaoqin, ZHANG Tian

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摘要

为建立混凝土塑性损伤(concrete damaged plasticity，CDP)模型中描述循环荷载下混凝土开裂-闭合行为的受压刚度因恢复因子w_c计算方法，基于混凝土开裂断裂能GF建立了指数型软化应力σ-开裂位移w关系；对比评价了现有的混凝土拉、压损伤参数(分别为dt、dc)计算模型，选择了适用于钢筋混凝土(reinforced concrete, RC)结构分析的dt和dc计算模型；并以受拉残存断裂能密度gFR与开裂断裂能密度gf之比的θ次方(θ≥1)建立了wc计算模型。该计算模型同时考虑了单元特征长度leq和dt对变量wc的影响，并讨论了刚度恢复修正参数θ的取值。为解决CDP模型中的wc只支持某一常数定义所存在的局限性，以循环荷载下严重破损的RC节点为研究对象，基于现有混凝土裂缝特征与受拉损伤状态的统计关系，提出了一种基于拉伸损伤水平dt的模型简化处理方法。以0≤dt1≤0.75和0.75≤dt2≤dtm(dtm≤1)将RC节点模型划分为轻微损伤和损伤-破坏两个区域，并分别采用特征刚度恢复因子wcz1和wcz2定义两个区域的材料属性。通过对多组循环荷载下的RC节点进行数值模拟并与试验数据比较，验证了循环荷载下混凝土开裂-闭合行为计算方法的正确性以及模型简化方法的可行性。

Abstract

Here, in order to establish a calculation method of compressive stiffness recovery factor wc for describing cracking-closing behavior of concrete under cyclic loading in the concrete damaged plasticity (CDP) model, firstly, the relationship between exponential softening stress and cracking displacement was established based on the cracking fracture energy of concrete, and then the existing calculation models for concrete tensile and compressive damage parameters were evaluated contrastively to choose their calculation models suitable for structural analysis of reinforced concrete (RC) structure, and the calculation model for wc was established based on θ-th power of the ratio of tensile residual fracture energy density to cracking fracture energy density.In this model, effects of element characteristic length and concrete tensile damage parameter on wc were considered, and the value range of the stiffness recovery correction parameter θ was discussed.However, wc could be only defined as a certain constant in CDP model.To overcome this limitation, the severely damaged RC joint member under cyclic loading was taken as the study object, based on the statistical relation between the existing concrete crack features and tensile damage levels, a model simplification handling method was proposed.The RC joint member was divided into two parts of slight damage and damage-failure zones.Several groups of RC joint members under cyclic loading were simulated numerically and their results were compared with test data to verify the correctness of the proposed method and the feasibility of the model simplification handling method.

导出引用

李晓琴,张田. 循环荷载下混凝土开裂-闭合行为计算方法研究[J]. 振动与冲击, 2021, 40(9): 254-263

LI Xiaoqin, ZHANG Tian. Calculation method of cracking-closing behaviour of concrete under cyclic loading[J]. Journal of Vibration and Shock, 2021, 40(9): 254-263

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