|
|
|
| The crushing characteristics of single particle and uniformly-graded sample of carbonate sand and their association relationship |
| YANG Yang1，2，ZHANG Chunhui3，4，CUI Enjie3，WANG Le1，2，HE Junbiao5 |
| (1. School of Civil Engineering，Tianjin University，Tianjin 300350，China；2. State Key Laboratory of Hydraulic Engineering Simulation and Safety，Tianjin University，Tianjin 300350，China；3. School of Civil Engineering，Hebei University of
Science and Technology，Shijiazhuang，Hebei 050018，China；4. School of Mechanics and Engineering，Liaoning
Technical University，Fuxin，Liaoning 123000，China；5. China Harbor LLC，Beijing 100027，China)
|
|
|
|
|
Abstract A total of 150 single compression tests and 18 uniformly-graded sample one dimensional compression tests for three different size groups carbonate sand were conducted to investigate the crushing characteristics of single particle and uniformly-graded sample and their association relationship. According to the load-displacement curve of single particle compression，crushing strength and ultimate strength were defined to distinguish two crushing states，i.e.，the local crushing state and global crushing state，and then the strength characteristic and the fractal characteristic of single particle were discussed by considering two different crushing states. Through detail analysis of uniformly-graded sample grading evolution subjected to one-dimensional compression，the crushing fractal evolution and fractal limit of uniformly-graded sample was explored. Based on fractal theory，a fractal evolution function for uniformly-graded sample was established by introducing the calculation of breakage ratio，which reveals the evolution mechanism of fractal behavior of uniformly-graded sample and its relationship with fractal characteristic of single particle. The feasibility of the proposed fractal evolution function for uniformly-graded sample was finally verified using the experimental data.
|
|
|
|
Corresponding Authors:
(1. School of Civil Engineering，Tianjin University，Tianjin 300350，China；2. State Key Laboratory of Hydraulic Engineering Simulation and Safety，Tianjin University，Tianjin 300350，China；3. School of Civil Engineering，Hebei University of
Science and Technology，Shijiazhuang，Hebei 050018，China；4. School of Mechanics and Engineering，Liaoning
Technical University，Fuxin，Liaoning 123000，China；5. China Harbor LLC，Beijing 100027，China)
|
|
|
|
| [1] COOP M R. The mechanics of uncemented carbonate sands[J]. Géotechnique，1990，40(4)：607–626.
[2] WHILTSIE E A，HULELT J M，MURFF J D. Foundation design for external strut streng thenting system for Bass Strait first generation platforms[C]// Proceedings of the International Conference on Calcareous Sediments. Perth：[s. n.]，1988：321–330.
[3] WANG X，JIAO Y，WANG R，et al. Engineering characteristics of the calcareous sand in Nansha Islands，South China Sea[J]. Engineering Geology，2011，120(1/4)：40–47.
[4] 张季如，张弼文，胡 泳，等. 粒状岩土材料颗粒破碎演化规律的模型预测研究[J]. 岩石力学与工程学报，2016，35(9)：1 898–1 905. (ZHANG Jiru，ZHANG Biwen，HU Yong，et al. Predicting the particle breakage of granular geomaterials[J]. Chinese Journal of Rock Mechanics and Engineering，2016，35(9)：1 898–1 905.(In Chinese))
[5] YANG Y，ZHANG C，WANG R，et al. Engineering properties of the compressibility and crushing characteristics of transitional soils mixed with silicate and carbonate sands[J]. Engineering Geology，2021，292：106246.
[6] YU F. Particle breakage in triaxial shear of a coral sand[J]. Soils and Foundations，2018，58(4)：866–880.
[7] GEORGOUTSOS G，BODAS，FREITAS T，et al. Particle breakage during shearing of a carbonate sand[J]. Géotechnique，2004，54(3)：157–163.
[8] 纪文栋，张宇亭，裴文斌，等. 加载方式和应力水平对珊瑚砂颗粒破碎影响的试验研究[J]. 岩石力学与工程学报，2018，37(8)：1 953–1 961.(JI Wendong，ZHANG Yuting，PEI Wenbin，et al. Influence of loading method and stress level on the particle crushing of coral calcareous sand[J]. Chinese Journal of Rock Mechanics and Engineering，2018，37(8)：1 953–1 961.(in Chinese))
[9] 林 澜，李 飒，孙立强，等. 基于分形理论的钙质土颗粒破碎状态演化研究[J]. 岩石力学与工程学报，2021，40(3)：640–648.(LIN Lan，LI Sa，SUN Liqiang，et al. Study on evolution of particle breakage of carbonate soils based on fractal theory[J]. Chinese Journal of Rock Mechanics and Engineering，2021，40(3)：640–648.(in Chinses))
[10] 张家铭. 钙质砂基本力学性质及颗粒破碎影响研究[博士学位论文][D]. 武汉：中国科学院武汉岩土力学研究所，2004.(ZHANG Jiamin. Study of the fundamental mechanical characteristics of calcareous sand and the influence of particle breakage[Ph. D. Thesis][D]. Wuhan：Institute of Rock and Soil Mechanics，Chinese Academy of Sciences，2004.(in Chinese))
[11] 蒋明镜，杨开新，陈有亮，等. 南海钙质砂单颗粒破碎试验研究[J]. 湖南大学学报：自然科学版，2018，45(增1)：155–160.(JIANG Minjing，YANG Kaixin，CHEN Youliang，et al. Experimental study on crushability of single calcareous sand obtained from South China Sea[J]. Journal of Hunan University：Natural Science，2018，45(Supp.1)：155–160.(in Chinese))
[12] KUANG D M，LONG Z L，GUO R Q，et al. Experimental and numerical investigation on size effect on crushing behaviors of single calcareous sand particles[J]. Marine Georesource and Geotechnology，2021，39(5)：543–553.
[13] MA L，LI Z，WANG M，et al. Effects of size and loading rate on the mechanical properties of single coral particles[J]. Powder Technology，2019，342：961–971.
[14] GUYON E，TROADEC J P. Du sac de billes au tas de sable[M]. Paris： Editions Odile Jacob，1994：1–236.
[15] COOP M R，SORENSEN K K，FREITAS T B，et al. Particle breakage during shearing of a carbonate sand[J]. Géotechnique，2004，54(3)：157–163.
[16] 童晨曦，张 升，李 希，等. 单粒组颗粒材料破碎规律及破碎极限研究[J]. 岩土力学，2015，36(增1)：260–264.(TONG Chenxi，ZHANG Sheng，LI Xi，et al. Evolution and ultimate state of breakage for uniformly graded granular materials[J]. Rock and Soil Mechanics，2015，36(Supp.1)：260–264.(In Chinese))
[17] MCDOWELL G R，BOLTON M D. On the micromechanics of crushable aggregates[J]. Géotechnique，2000，50(3)：315–318.
[18] 王益栋. 粗粒土单颗粒压缩破碎强度和压缩变形的分形理论[博士学位论文][D]. 上海：上海交通大学，2017.(WANG Yidong. Fractal theory of single particle crushing strength and compression deformation of coarse granular material[Ph. D. Thesis][D]. Shanghai：Shanghai Jiao Tong University，2017.(in Chinese))
[19] MCDOWELL G R，AMON A. The application of Weibull statistics to the fracture of soil particles[J]. Soils and Foundation，2002，40(5)：133–141.
[20] MANDELBROT B B. The fractal geometry of nature[M]. New York： W H Freeman，1983：286.
[21] TURCOTTE D. Fractals and fragmentation[J]. Journal of Geophysical Research，1986，91(B2)：1 921–1 926.
[22] XU Y. Explanation of scaling phenomenon based on fractal fragmentation[J]. Mechanics Research Communications，2005，32(2)：209–220.
[23] TYLER S W，WHEATCRAFT S W. Fractal scaling of soil particle-size distributions：analysis and limitations[J]. Soil Science Society of America Journal，1992，56(2)：362–369.
[24] YU J，SHEN C，LIU S，et al. Exploration of the survival probability and shape evolution of crushable particles during one-dimensional compression using dyed gypsum particles[J]. Journal of Geotechnical and Geoenvironmental Engineering，2020，146(11)：04020121.
[25] EINAV I. Breakage mechanics-part I：Theory[J]. Journal of the Mechanics and Physics of Solids，2007，55(6)：1 274–1 297.
[26] WOOD M，MAEDA D K. Changing grading of soil：effect on critical states[J]. Acta Geotechnica，2008，3(1)：3–14.
|
|
|
|
2022, Vol. 41 
