岩土力学 ›› 2025, Vol. 46 ›› Issue (8): 2353-2362.doi: 10.16285/j.rsm.2024.1114CSTR: 32223.14.j.rsm.2024.1114

• 基础理论与实验研究 • 上一篇    下一篇

基于3D打印技术的仿真钙质砂三轴试验研究

沈扬,沈嘉毅,梁晖,樊科伟   

  1. 河海大学 岩土力学与堤坝工程教育部重点实验室,江苏 南京 210098
  • 收稿日期:2024-09-09 接受日期:2024-11-18 出版日期:2025-08-11 发布日期:2025-08-14
  • 作者简介:沈扬,男,1980年生,博士,教授,主要从事土的静、动力学特性和本构理论方面的研究。E-mail:shenyang1998@163.com
  • 基金资助:
    国家自然科学基金(No. 51979087)

Triaxial tests on simulated calcareous sand based on 3D printing technology

SHEN Yang, SHEN Jia-yi, LIANG Hui, FAN Ke-wei   

  1. Key Laboratory of Geomechanics and Embankment Engineering of Ministry of Education, Hohai University, Nanjing, Jiangsu 210098, China
  • Received:2024-09-09 Accepted:2024-11-18 Online:2025-08-11 Published:2025-08-14
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (51979087).

摘要: 颗粒级配和形态是影响砂土力学行为的重要属性,由于天然钙质砂颗粒级配与形态特征相互交织,目前试验研究还无法提供单一因素的影响规律。基于X射线计算机断层成像(X-ray computed tomography,X-CT)扫描技术、球谐函数分析和3D打印技术,实现可控形态和尺寸钙质砂颗粒的批量生产制造,通过引入分形维数以表征试样的级配特征,开展不同分形维数仿真钙质砂试样的固结排水三轴试验,探究了颗粒级配这一单一变量对钙质砂剪切特性的影响规律。结果表明:仿真钙质砂试样的力学行为十分符合天然砂应变软化和先剪缩后剪胀的典型特性。分形维数只有在变化很大时,才会对临界状态应力比产生略微明显的影响,考虑到颗粒破碎导致的分形维数变化并不明显,可以采用静态唯一线的方法来描述具有不同分形维数钙质砂的临界状态。相变状态时,轴向应变与分形维数以及有效围压均呈正相关,应力比随分形维数的增大呈指数型上升。仿真钙质砂具有表观黏聚力,峰值表观黏聚力随分形维数的增大呈线性下降,残余表观黏聚力基本不受分形维数变化的影响,而峰值和残余内摩擦角均随着分形维数的增大呈指数形式上升。

关键词: 钙质砂, 3D打印, 颗粒级配, 分形维数, 变形, 剪切强度

Abstract: Particle gradation and morphology are key attributes that influence the mechanical behavior of sandy soils. Due to the intertwined characteristics of gradation and morphology in natural calcareous sand particles, current experimental research has not yet been able to provide insight into the influence of these factors individually. In this study, a mass production of calcareous sand particles with controllable morphology and size was realized based on X-ray computed tomography (X-CT) scanning technology, spherical harmonic analysis, and 3D printing technology. By conducting consolidated drained triaxial tests on simulated calcareous sand samples with different gradations, the influence of particle gradation, as a single variable, on the mechanical properties of calcareous sand was explored. The results show that the mechanical behavior of the simulated calcareous sand samples is highly consistent with the typical characteristics of natural sand. The fractal dimension only has a significant effect on the critical state stress ratio when it changes substantially, and the critical state of calcareous sand with different fractal dimensions can be described using the static unique line method. At the phase transformation state, the axial strain is positively correlated with both the fractal dimension and the effective confining pressure, while the stress ratio increases exponentially with the fractal dimension. The simulated calcareous sand exhibits apparent cohesion, with the peak apparent cohesion decreasing linearly with the increase in fractal dimension, while the residual apparent cohesion is largely unaffected by changes in fractal dimension. Both the peak and residual internal friction angles increase exponentially with the fractal dimension.

Key words: calcareous sand, 3D printing technology, particle gradation, fractal dimension, deformation, shear strength

中图分类号: TU 452
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