吉林大学学报(工学版) ›› 2025, Vol. 55 ›› Issue (3): 974-985.doi: 10.13229/j.cnki.jdxbgxb.20230560

• 交通运输工程·土木工程 • 上一篇    下一篇

常规三轴压缩下高强混凝土能量演化和破坏准则

张亮亮1(),程桦1,2,3(),王晓健1   

  1. 1.安徽理工大学 土木建筑学院，安徽 淮南 232001
    2.安徽建筑大学 建筑结构与地下工程安徽省重点实验室，合肥 230601
    3.安徽大学 资源与环境工程学院，合肥 230022
  • 收稿日期:2023-06-01 出版日期:2025-03-01 发布日期:2025-05-20
  • 通讯作者: 程桦 E-mail:2022002@aust.edu.cn;hcheng@aust.edu.cn
  • 作者简介:张亮亮（1992-），男，讲师，博士.研究方向：岩石力学.E-mail：2022002@aust.edu.cn
  • 基金资助:
    安徽省高校科研计划项目(2023AH051203);安徽理工大学高层次引进人才科研启动基金项目(2022yjrc32);国家自然科学基金项目(51874005)

Energy evolution law and failure criterion of high strength concrete under conventional triaxial compression

Liang-liang ZHANG1(),Hua CHENG1,2,3(),Xiao-jian WANG1   

  1. 1.School of Civil Engineering and Architecture，Anhui University of Science and Technology，Huainan 232001，China
    2.Anhui Provincial Key Laboratory of Building Structure and Underground Engineering，Anhui Jianzhu University，Hefei 230601，China
    3.School of Resources and Environmental Engineering，Anhui University，Hefei 230022，China
  • Received:2023-06-01 Online:2025-03-01 Published:2025-05-20
  • Contact: Hua CHENG E-mail:2022002@aust.edu.cn;hcheng@aust.edu.cn

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摘要：

为研究高强混凝土在常规三轴压缩状态下的能量演化规律与整体破坏行为，开展了5组不同围压下C60和C70高强混凝土常规三轴压缩试验。基于试验结果和热力学能量守恒原理，得到高强混凝土输入能密度、弹性应变能密度和耗散能密度随轴向应变和围压的变化规律，并根据高强混凝土峰值应力对应的弹性应变能密度与围压成线性增长关系，建立了基于弹性应变能密度的高强混凝土破坏准则。研究结果表明：①高强混凝土输入能密度和耗散能密度均随轴向应变的增大而增大，弹性应变能密度在峰前阶段随轴向应变的增大而增大，峰后随之减小；②高强混凝土峰值应力对应输入能密度和耗散能密度均随围压的增大而增大，且同等围压条件下C70高强混凝土峰值应力对应的输入能密度和耗散能密度均大于C60高强混凝土；③基于弹性应变能密度的高强混凝土破坏准则精度高、所含参数少且物理意义明确，该准则表达形式与Hoek-Brown破坏准则相似，但其适用性更加广泛；④高强混凝土破坏准则在π平面为等边不等角的对称六边形，根据“化角为弧”的方法对破坏曲线奇异点进行了圆化处理。本文研究结果可为从能量角度研究混凝土材料变形破坏行为提供新的思路。

关键词: 结构工程, 三轴压缩, 能量演化, 高强混凝土, 弹性应变能, 破坏准则

Abstract:

In order to study the energy evolution law and failure behavior of high-strength concrete under conventional triaxial compression state， five groups of tests of C60 and C70 high-strength concrete under different confining pressures were carried out. Based on the test results and the principle of thermodynamic energy conservation， the variation laws of input energy density， elastic strain energy density and dissipation energy density of high-strength concrete with axial strain and confining pressure were obtained. According to the linear growth relationship between elastic strain energy density corresponding to peak stress of high-strength concrete and confining pressure， the failure criterion of high-strength concrete was established. The results have shown that：① The input energy density and dissipated energy density of high-strength concrete increased with the axial strain， while the elastic strain energy density increased with the axial strain in the pre peak stage and decreased after the peak；② The input energy density and dissipated energy density corresponding to the peak stress of high-strength concrete sample increased with confining pressure， and the input energy density and dissipated energy density corresponding to the peak stress of C70 high-strength concrete were greater than that of C60 high-strength concrete under the same confining pressure；③ The failure criterion of high strength concrete based on elastic strain energy density has high accuracy， few parameters and clear physical meaning. The form of the criterion was similar to Hoek-Brown failure criterion， but it has wider applicability；④ The failure criterion of high-strength concrete was a symmetrical hexagon with equal edges and unequal angles in the π plane. The singular points of the failure curve were rounded according to the "turning angle into arc" method. The research results provide a new idea for studying the deformation and failure behavior of concrete materials from the perspective of energy.

Key words: structure engineering, triaxial compression, energy evolution, high strength concrete, elastic strain energy, failure criterion

中图分类号: 

  • TU528

表1

P·Ⅱ52.5R普通硅酸盐水泥各项指标"

烧失量/%混合材料掺量/%石膏掺量/%比表面积/（m2·kg-2）凝结时间/min抗折强度/MPa抗压强度/MPa
初凝时间终凝时间3 d28 d3 d28 d
2.383.16.6367.51261786.231.78.560.9

表2

C60和C70混凝土设计配合比"

强度等级水泥/kg外加剂/kg胶凝材料/kg砂/kg石子/kg水/kg砂率/%

C60

C70

415

425

135

145

550

570

620

615

1 105

1 095

175

170

36

36

图1

C60和C70高强混凝土标准试样"

图2

ZTCR-2000低温岩石三轴系统"

图3

应力-应变曲线"

表3

C60和C70高强混凝土力学参数"

围压/

MPa

峰值强度/MPa弹性模量/GPa泊松比
C60C70C60C70C60C70
065.3884.4128310.310.29
581.96100.2229320.280.26
1098.26115.9831330.290.26
15114.01128.2233350.280.28
20129.12141.6734360.260.26

图4

C60和C70高强混凝土破坏模式"

图5

C60和C70高强混凝土能量密度与轴向应变的关系"

图6

围压与UFP的关系曲线"

图7

围压与UDP的关系曲线"

图8

围压与UEP的关系曲线"

图9

能量密度破坏准则预测结果与试验结果对比"

图10

主应力空间与π平面"

图11

能量密度破坏准则破坏面形状"

图12

圆化方法示意图"

图13

π平面上不同θc的能量密度破坏准则曲线"

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