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Experimental Study on Stiffness Degradation and Hysteretic Behavior of Rock-Filled Concrete under Uniaxial Cyclic Compression Loading
LU Zi-ming, ZHOU Yuan-de, JIN Feng
Journal of Changjiang River Scientific Research Institute ›› 2026, Vol. 43 ›› Issue (9) : 206-213.
PDF(1388 KB)
PDF(1388 KB)
Experimental Study on Stiffness Degradation and Hysteretic Behavior of Rock-Filled Concrete under Uniaxial Cyclic Compression Loading
[Objective] Rock-filled concrete (RFC) is inevitably subjected to repeated loading-unloading processes during service. However, studies on the stiffness degradation and hysteretic behavior of RFC under cyclic loading remain limited. This study investigated the mechanical response of RFC under cyclic loading through systematic uniaxial cyclic compression tests, quantified the evolution of stiffness degradation and hysteretic energy, compared these characteristics with those of normal concrete, and developed a hysteretic constitutive model for RFC. [Methods] Cubic specimens with a side length of 200 mm were used. The strength grades of self-compacting concrete (SCC) (25 MPa and 40 MPa) and rockfill ratios (55% and 0%, i.e., plain SCC) were selected as the main variables. Uniaxial cyclic compression tests were conducted. To address brittle post-peak failure caused by insufficient stiffness of the testing machine, a synergistic loading system incorporating an auxiliary beam and jacks was introduced, enabling multi-level controlled unloading and reloading after peak stress. Externally mounted displacement sensors and a load cell were used to record complete stress-strain curves in real time, and the equivalent elastic modulus and hysteretic energy for each cycle were calculated. The test results were then normalized and compared with classical data for normal concrete reported in the literature. To overcome the limitations of the classical Sima hysteretic model, an improved constitutive model incorporating a nonlinear correction for the unloading branch and a bilinear representation for the reloading branch was proposed. [Results] (1) The elastic modulus of RFC exhibited a gradual degradation trend with an increasing number of cycles. Specimens with higher SCC strength showed a higher initial modulus but a faster degradation rate. The hysteretic energy at each loading level also decreased gradually, and the specimens with higher SCC strength exhibited greater energy dissipation capacity. (2) Compared with normal concrete, RFC exhibited a lower initial modulus but a significantly slower stiffness degradation rate. The post-peak descending segment of the normalized skeleton curve was steeper, indicating lower ductility. The hysteretic loops of RFC were flatter and crescent-shaped, with significantly lower fullness than those of normal concrete. The normalized loop area at the same loading level was only 55%-65% of that of normal concrete, and the accumulation rate of plastic residual strain was also slower, suggesting that the rockfill skeleton exerted a confining effect on the matrix plastic flow. (3) The classical Sima hysteretic model did not adequately fit the behavior of RFC because it exhibited excessive curvature in the low-stress region of the unloading branch and failed to represent the stiffness transition during reloading. The loop-area prediction error reached 18.5%. The improved model, incorporating a stress correction at the end of unloading and a bilinear reloading description, reduced the average fitting errors of the unloading and reloading branches from 12.7% to 4.3% and the loop-area error to 6.2%, thereby improving the accuracy in characterizing the hysteretic behavior of RFC. [Conclusion] RFC under uniaxial cyclic compression exhibits stiffness degradation and hysteretic behavior distinct from those of normal concrete, which is primarily attributed to the dominant elastic load-bearing role of the rockfill skeleton and its restraining effect on matrix damage propagation. Although increasing SCC strength can enhance initial stiffness and energy dissipation capacity, it also accelerates stiffness degradation, requiring careful consideration in design. The proposed improved hysteretic constitutive model accurately describes the unloading nonlinearity and reloading stiffness evolution of RFC, addresses the curvature distortion in the low-stress region and reloading stiffness discontinuity in classical models, and provides an effective material model for nonlinear dynamic analysis of RFC structures. This study deepens the understanding of cyclic damage evolution in RFC composite materials at the mesoscopic level by revealing the differences between RFC and normal concrete in terms of envelope characteristics, hysteresis loop fullness, and plastic accumulation behavior. It can provide experimental and theoretical bases for improving relevant specifications and safety assessment in engineering applications.
rock-filled concrete / cyclic loading / stiffness degradation / hysteretic behavior
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该文进行了堆石混凝土(RFC)和自密实混凝土(SCC)试件单轴受压试验,得到了完整的应力-应变全曲线,对比分析了2种混凝土试件的破坏形态、峰值应力、峰值点应变、弹性模量及全曲线特征,给出了相应的应力-应变全曲线方程。结果表明,RFC破坏界面不仅存在堆石骨料与SCC基体之间的界面,而且存在堆石骨料自身的破裂面。在破坏后期,由于堆石骨架的作用,RFC试件的应力-应变全曲线下降段较为平缓。与SCC试件相比,RFC试件的平均峰值应力和峰值点应变分别降低了29%和51%,平均弹性模量增大了42%。RFC试件中堆石骨料的形状、摆放位置及堆石骨料与SCC基体之间的粘结都影响其力学性能,使得RFC试件试验结果离散大。由方程得出的RFC与SCC的理论应力-应变全曲线与试验全曲线吻合较好。
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采用大型多功能液压伺服静动力三轴仪对不同单向恒定侧压下的混凝土进行应变速率为10<sup>-4</sup>s<sup>-1</sup>的等应变增量循环加卸载试验,恒定侧压为单轴静态抗压强度的0%,5%,10%。研究了不同侧应力水平下应力-应变全曲线中滞回环的变化规律,分析滞回环与耗散能的关系,并构建损伤估计模型,最后基于耗散能统计,研究混凝土的损伤特性。得出主要结论如下:①全曲线中滞回环在卸载初始阶段应力下降较快而变形恢复很慢,但随着应力的逐渐下降,应变恢复才开始加快;②在循环次数相同时,耗散能随着侧应力的增加而增加,且增加幅度明显,表明单位耗散能具有明显的侧应力敏感性;③建立的双参数损伤估计模型,能够很好地拟合循环加卸载损伤与累积残余应变的关系;④随着侧压比的提高,混凝土损伤发展速度逐渐减慢,损伤累积的路径大幅延长。
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In this research, dynamic cyclic loading and unloading tests at strain rate of 10<sup>-4</sup>s<sup>-1</sup> under different unidirectional constant pressures are conducted on a large multi-functional static and dynamic force triaxial apparatus. Constant lateral pressures are 0%, 5%, 10% of the static uniaxial compressive strength. On this basis, the variation of hysteresis loop of stress-strain curve of concrete under cyclic loading and unloading with varying stress level is researched. The relation between dispersion hysteresis loop and energy dissipation is analyzed, and the damage estimation model is built. Furthermore, the damage characteristics of concrete are researched based on energy dissipation statistics. The following conclusions are obtained: 1) in initial unloading stage, the stress decreases rapidly and deformation recovers slowly, but the speed of recovery begins to accelerate with stress declining; 2) dissipative energy significantly increases with the increase of lateral stress under the same number of cycles, indicating that unit dissipated energy is apparently sensitive to lateral stress; 3) the damage estimation model of concrete is verified to perform well in fitting the relationship between damage and cumulative residue strain; 4) the development of damage decreases gradually with the increase of lateral pressure ratio, and in addition, the path of damage accumulation is greatly extended.
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为模拟研究充填采场围岩破裂演变机理,设计了充填体与围岩组合模型,采用RLW-3000微机控制剪切蠕变试验机对不同种类岩石模型试样进行了不同侧压力条件下的循环加卸载试验;通过VIC-3D非接触全场应变系统同步监测模型试样损伤破坏过程,基于试验过程中应变场的演变,对组合模型破裂机理进行了分析。研究表明:充填体能够增强围岩的完整性及强度;组合模型的破裂经历了一个扩容的过程;不同侧压下循环加卸载应力-应变曲线形成多塑性滞回环,岩性越软滞回现象越显著;应变场在低循环荷载时近似均匀场,高荷载时在加载非均匀场与卸载均匀场之间变换,渐呈应变局部化特征;张拉应变区首先出现在强度比较低的充填体区域,并随荷载增大逐渐向两侧的围岩移动,充填体与围岩变形具有时空非同步性与破坏形式差异;不同种类围岩破坏形式不同,强度较低的呈剪切破坏,强度较高的则为拉伸破坏。结果表明场应变演变可较好地表征充填采场围岩破裂过程。
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为深入分析砂岩峰前和峰后不同阶段的动力特性规律,开展单轴分级循环加卸载试验,综合分析下限应力对砂岩峰前峰后不同加卸载阶段的表观弹性模量、滞回圈面积、阻尼比、阻尼系数及动弹性模量等相关动力参数的影响。研究结果表明:① 岩样在峰后因内部损伤加深和累积,相同下限应力下滞回曲线位于峰前右侧,且应变量增幅和最大应变增幅均随下限应力的增加而逐渐减小,说明峰后岩样虽然强度已达到极限状态,但只要岩石未完全破坏失稳,其致密性仍可以在高应力条件下的循环加卸载中得到增强。② 砂岩在峰前峰后循环加卸载下的变化过程,可以通过表观弹性模量曲线斜率a值的变化得以体现,低下限应力循环加卸载试验中,致密性增强系数a<sub>1</sub>>致密性劣化系数a<sub>2</sub>,斜率a均为正值,轴向应力对岩石整体的压密作用明显强于劣化损伤作用;随着下限应力升高,a<sub>2</sub>的降低速率高于a<sub>1</sub>的升高速率,a值逐渐减小甚至变为负值,说明轴向应力对岩石整体的压密作用逐渐弱于劣化损伤作用。③ 4组不同下限应力条件下,岩样峰后的滞回圈面积、阻尼比、阻尼系数均高于峰前状态,而动弹性模量低于峰前状态,说明岩样在峰后循环加卸载过程中内部劣化损伤程度高于峰前。
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为研究温压同步循环加载作用下混凝土的力学性能及损伤本构关系,进行了温压同步循环加载试验、单轴压缩试验与扫描电镜(SEM)测试,分析了循环次数、循环温度与循环应力对混凝土抗压性能与微观结构的影响。结果表明:在温压同步循环加载作用下,随着循环次数、循环温度与循环应力的增加,混凝土的抗压强度逐渐下降。温压同步循环加载作用加剧了混凝土力学性能的劣化,使其抗压强度较单一荷载作用下明显降低。在温压同步循环加载作用下,混凝土骨料与水泥砂浆之间界面过渡区微裂纹的扩展连通,是力学性能下降的主要因素。基于等效应变假定,建立了温压同步循环加载作用下混凝土的损伤本构模型。损伤演化曲线表明,温压同步循环加载作用使混凝土的损伤速率加快,峰值应力处的损伤程度增加。研究成果可为压缩空气储能(CAES)地下储气硐室衬砌混凝土结构的设计提供试验与理论依据。
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