{"title":"三轴剪切过程中的弹性波速度受颗粒形态的影响","authors":"Yang Li , Masahide Otsubo , Reiko Kuwano","doi":"10.1016/j.sandf.2024.101443","DOIUrl":null,"url":null,"abstract":"<div><p>This contribution investigates the characteristics of elastic wave velocities (<em>V<sub>p</sub></em> and <em>V<sub>s</sub></em>) during triaxial shearing tests under dry and drained conditions. Samples of tested materials with different particle morphologies (i.e., particle shape and surface roughness) were prepared under three strategies, namely, similar initial void ratios (<em>e</em><sub><em>0</em></sub>), relative densities (<em>D<sub>r</sub></em><sub><em>0</em></sub>), and side tapping numbers (<em>N<sub>t</sub></em>). Regarding the elastic wave velocities as functions of <em>e</em><sub><em>0</em></sub> and confinement <span><math><msup><mrow><mi>σ</mi></mrow><mo>′</mo></msup></math></span> at very small strain ranges, i.e., <span><math><mrow><mi>V</mi><mo>=</mo><mi>a</mi><mrow><mo>(</mo><mi>B</mi><mo>-</mo><msub><mi>e</mi><mn>0</mn></msub><mo>)</mo></mrow><msup><mrow><mo>(</mo><mfrac><msup><mrow><mi>σ</mi></mrow><mo>′</mo></msup><mrow><mn>1</mn><mi>k</mi><mi>P</mi><mi>a</mi></mrow></mfrac><mo>)</mo></mrow><mi>b</mi></msup></mrow></math></span>, <em>a</em> was seen to increase for more angular materials or smoother surfaces, while <em>b</em> and <em>B</em> were seen to decrease as the particles became more angular or the surfaces became smoother. During triaxial shearing, <em>V<sub>p</sub></em> increased initially and then tended to decrease more gently, whereas <em>V<sub>s</sub></em> increased initially and then showed a marked decrease before convergence upon shearing regardless of the <em>e</em><sub><em>0</em></sub> for the given material. The influence of particle morphology on the absolute values for <em>V<sub>p</sub></em> and <em>V<sub>s</sub></em> was found to be complex during shearing, whereas the wave ratio (<em>V<sub>p</sub>/V<sub>s</sub></em>) was consistently greater under rougher conditions for the same shape. Importantly, the wave ratio (<em>V<sub>p</sub>/V<sub>s</sub></em>) was found to correlate well with the particle morphology: more angular materials and rougher surfaces exhibited a greater <em>V<sub>p</sub>/V<sub>s</sub></em> ratio normalized by the stress and density conditions for each material, which further indicates a higher degree of fabric anisotropy with reference to the microscopic evidence in the literature.</p></div>","PeriodicalId":21857,"journal":{"name":"Soils and Foundations","volume":"64 2","pages":"Article 101443"},"PeriodicalIF":3.3000,"publicationDate":"2024-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0038080624000210/pdfft?md5=3d50a6130851f25ccbe58016a4340c32&pid=1-s2.0-S0038080624000210-main.pdf","citationCount":"0","resultStr":"{\"title\":\"Elastic wave velocities during triaxial shearing influenced by particle morphology\",\"authors\":\"Yang Li , Masahide Otsubo , Reiko Kuwano\",\"doi\":\"10.1016/j.sandf.2024.101443\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This contribution investigates the characteristics of elastic wave velocities (<em>V<sub>p</sub></em> and <em>V<sub>s</sub></em>) during triaxial shearing tests under dry and drained conditions. Samples of tested materials with different particle morphologies (i.e., particle shape and surface roughness) were prepared under three strategies, namely, similar initial void ratios (<em>e</em><sub><em>0</em></sub>), relative densities (<em>D<sub>r</sub></em><sub><em>0</em></sub>), and side tapping numbers (<em>N<sub>t</sub></em>). Regarding the elastic wave velocities as functions of <em>e</em><sub><em>0</em></sub> and confinement <span><math><msup><mrow><mi>σ</mi></mrow><mo>′</mo></msup></math></span> at very small strain ranges, i.e., <span><math><mrow><mi>V</mi><mo>=</mo><mi>a</mi><mrow><mo>(</mo><mi>B</mi><mo>-</mo><msub><mi>e</mi><mn>0</mn></msub><mo>)</mo></mrow><msup><mrow><mo>(</mo><mfrac><msup><mrow><mi>σ</mi></mrow><mo>′</mo></msup><mrow><mn>1</mn><mi>k</mi><mi>P</mi><mi>a</mi></mrow></mfrac><mo>)</mo></mrow><mi>b</mi></msup></mrow></math></span>, <em>a</em> was seen to increase for more angular materials or smoother surfaces, while <em>b</em> and <em>B</em> were seen to decrease as the particles became more angular or the surfaces became smoother. During triaxial shearing, <em>V<sub>p</sub></em> increased initially and then tended to decrease more gently, whereas <em>V<sub>s</sub></em> increased initially and then showed a marked decrease before convergence upon shearing regardless of the <em>e</em><sub><em>0</em></sub> for the given material. The influence of particle morphology on the absolute values for <em>V<sub>p</sub></em> and <em>V<sub>s</sub></em> was found to be complex during shearing, whereas the wave ratio (<em>V<sub>p</sub>/V<sub>s</sub></em>) was consistently greater under rougher conditions for the same shape. Importantly, the wave ratio (<em>V<sub>p</sub>/V<sub>s</sub></em>) was found to correlate well with the particle morphology: more angular materials and rougher surfaces exhibited a greater <em>V<sub>p</sub>/V<sub>s</sub></em> ratio normalized by the stress and density conditions for each material, which further indicates a higher degree of fabric anisotropy with reference to the microscopic evidence in the literature.</p></div>\",\"PeriodicalId\":21857,\"journal\":{\"name\":\"Soils and Foundations\",\"volume\":\"64 2\",\"pages\":\"Article 101443\"},\"PeriodicalIF\":3.3000,\"publicationDate\":\"2024-03-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S0038080624000210/pdfft?md5=3d50a6130851f25ccbe58016a4340c32&pid=1-s2.0-S0038080624000210-main.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Soils and Foundations\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0038080624000210\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ENGINEERING, GEOLOGICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Soils and Foundations","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0038080624000210","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, GEOLOGICAL","Score":null,"Total":0}
引用次数: 0
摘要
本文研究了在干燥和排水条件下进行三轴剪切试验时弹性波速(Vp 和 Vs)的特征。在三种策略下制备了具有不同颗粒形态(即颗粒形状和表面粗糙度)的受试材料样品,即相似的初始空隙率(e0)、相对密度(Dr0)和侧攻数(Nt)。关于在极小应变范围内弹性波速与 e0 和约束σ′的函数关系,即 V=a(B-e0)(σ′1kPa)b,可以看出,材料角度越大或表面越光滑,a 越大,而颗粒角度越大或表面越光滑,b 和 B 越小。在三轴剪切过程中,无论给定材料的 e0 如何,Vp 最初都会增加,然后趋于平稳地减少,而 Vs 最初会增加,然后在剪切收敛之前明显减少。研究发现,在剪切过程中,颗粒形态对 Vp 和 Vs 绝对值的影响是复杂的,而对于相同形状的颗粒,在较粗糙的条件下,波比(Vp/Vs)始终较大。重要的是,研究发现波比(Vp/Vs)与颗粒形态有很好的相关性:根据每种材料的应力和密度条件归一化,棱角更多的材料和表面更粗糙的材料表现出更大的 Vp/Vs 比值,这进一步表明,参照文献中的微观证据,织物的各向异性程度更高。
Elastic wave velocities during triaxial shearing influenced by particle morphology
This contribution investigates the characteristics of elastic wave velocities (Vp and Vs) during triaxial shearing tests under dry and drained conditions. Samples of tested materials with different particle morphologies (i.e., particle shape and surface roughness) were prepared under three strategies, namely, similar initial void ratios (e0), relative densities (Dr0), and side tapping numbers (Nt). Regarding the elastic wave velocities as functions of e0 and confinement at very small strain ranges, i.e., , a was seen to increase for more angular materials or smoother surfaces, while b and B were seen to decrease as the particles became more angular or the surfaces became smoother. During triaxial shearing, Vp increased initially and then tended to decrease more gently, whereas Vs increased initially and then showed a marked decrease before convergence upon shearing regardless of the e0 for the given material. The influence of particle morphology on the absolute values for Vp and Vs was found to be complex during shearing, whereas the wave ratio (Vp/Vs) was consistently greater under rougher conditions for the same shape. Importantly, the wave ratio (Vp/Vs) was found to correlate well with the particle morphology: more angular materials and rougher surfaces exhibited a greater Vp/Vs ratio normalized by the stress and density conditions for each material, which further indicates a higher degree of fabric anisotropy with reference to the microscopic evidence in the literature.
期刊介绍:
Soils and Foundations is one of the leading journals in the field of soil mechanics and geotechnical engineering. It is the official journal of the Japanese Geotechnical Society (JGS)., The journal publishes a variety of original research paper, technical reports, technical notes, as well as the state-of-the-art reports upon invitation by the Editor, in the fields of soil and rock mechanics, geotechnical engineering, and environmental geotechnics. Since the publication of Volume 1, No.1 issue in June 1960, Soils and Foundations will celebrate the 60th anniversary in the year of 2020.
Soils and Foundations welcomes theoretical as well as practical work associated with the aforementioned field(s). Case studies that describe the original and interdisciplinary work applicable to geotechnical engineering are particularly encouraged. Discussions to each of the published articles are also welcomed in order to provide an avenue in which opinions of peers may be fed back or exchanged. In providing latest expertise on a specific topic, one issue out of six per year on average was allocated to include selected papers from the International Symposia which were held in Japan as well as overseas.