{"title":"静力荷载下重力挡土墙应力和变形的离散元素研究","authors":"Prerna Singh, Tanusree Chakraborty, Puneet Mahajan","doi":"10.1007/s10035-024-01422-6","DOIUrl":null,"url":null,"abstract":"<div><p>The study of gravity retaining wall supporting cohesionless soil is performed using the discrete element software Particle Flow Code (PFC), with emphasis on three-dimensional analysis at the grain scale, covering the transition from the initial state to the active state. The soil particles are represented by spherical balls and the rolling resistance linear contact model is used to include the shape effect. The rigid balls are connected by linear parallel bond contact model with a specified strength and stiffness to replicate the physical characteristics of retaining wall. The domain size is reduced by using high g criteria and scaling laws to enhance computational efficiency. The earth pressure coefficient obtained from the present study is compared with the existing analytical and experimental solutions. It is concluded that widely used Coulomb and Rankine methods underestimate the active earth pressure. The total earth thrust acting on the gravity wall is 67.3 kN/m acting at 0.301<i>H</i> above the wall base. The initial state shows a decrease in average coordination number from 5.0 to 3.3 at wall top indicating the debonding of grains and simultaneous decrease in density. In addition, the force chain distribution, porosity, lateral displacement, and axial displacement are investigated. A correlation between the earth pressure coefficient and lateral displacement is also established. The discrete analysis provided valuable insights into the particle-level mechanisms underlying the overall behavior of the retaining wall, contributing to a better understanding of its continuum response.</p><h3>Graphical Abstract</h3>\n<div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":49323,"journal":{"name":"Granular Matter","volume":"26 2","pages":""},"PeriodicalIF":2.4000,"publicationDate":"2024-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Discrete element study of stresses and deformation on gravity retaining wall under static loading\",\"authors\":\"Prerna Singh, Tanusree Chakraborty, Puneet Mahajan\",\"doi\":\"10.1007/s10035-024-01422-6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The study of gravity retaining wall supporting cohesionless soil is performed using the discrete element software Particle Flow Code (PFC), with emphasis on three-dimensional analysis at the grain scale, covering the transition from the initial state to the active state. The soil particles are represented by spherical balls and the rolling resistance linear contact model is used to include the shape effect. The rigid balls are connected by linear parallel bond contact model with a specified strength and stiffness to replicate the physical characteristics of retaining wall. The domain size is reduced by using high g criteria and scaling laws to enhance computational efficiency. The earth pressure coefficient obtained from the present study is compared with the existing analytical and experimental solutions. It is concluded that widely used Coulomb and Rankine methods underestimate the active earth pressure. The total earth thrust acting on the gravity wall is 67.3 kN/m acting at 0.301<i>H</i> above the wall base. The initial state shows a decrease in average coordination number from 5.0 to 3.3 at wall top indicating the debonding of grains and simultaneous decrease in density. 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引用次数: 0
摘要
使用离散元软件粒子流代码(PFC)对支撑无粘性土的重力挡土墙进行了研究,重点是粒度上的三维分析,包括从初始状态到活动状态的过渡。土壤颗粒由球形球表示,滚动阻力线性接触模型包含了形状效应。刚性球通过具有指定强度和刚度的线性平行结合接触模型进行连接,以复制挡土墙的物理特性。为提高计算效率,采用高 g 准则和缩放定律来减小域尺寸。本研究获得的土压力系数与现有的分析和实验解决方案进行了比较。结论是,广泛使用的库仑法和朗肯法低估了活动土压力。作用于重力墙的总土压力为 67.3 kN/m,位于墙基上方 0.301H 处。初始状态显示,墙顶的平均配位数从 5.0 降至 3.3,表明晶粒脱粘,密度同时降低。此外,还研究了力链分布、孔隙率、横向位移和轴向位移。还建立了土压力系数与侧向位移之间的相关性。离散分析为了解挡土墙整体行为的颗粒级机制提供了宝贵的见解,有助于更好地理解其连续响应。
Discrete element study of stresses and deformation on gravity retaining wall under static loading
The study of gravity retaining wall supporting cohesionless soil is performed using the discrete element software Particle Flow Code (PFC), with emphasis on three-dimensional analysis at the grain scale, covering the transition from the initial state to the active state. The soil particles are represented by spherical balls and the rolling resistance linear contact model is used to include the shape effect. The rigid balls are connected by linear parallel bond contact model with a specified strength and stiffness to replicate the physical characteristics of retaining wall. The domain size is reduced by using high g criteria and scaling laws to enhance computational efficiency. The earth pressure coefficient obtained from the present study is compared with the existing analytical and experimental solutions. It is concluded that widely used Coulomb and Rankine methods underestimate the active earth pressure. The total earth thrust acting on the gravity wall is 67.3 kN/m acting at 0.301H above the wall base. The initial state shows a decrease in average coordination number from 5.0 to 3.3 at wall top indicating the debonding of grains and simultaneous decrease in density. In addition, the force chain distribution, porosity, lateral displacement, and axial displacement are investigated. A correlation between the earth pressure coefficient and lateral displacement is also established. The discrete analysis provided valuable insights into the particle-level mechanisms underlying the overall behavior of the retaining wall, contributing to a better understanding of its continuum response.
期刊介绍:
Although many phenomena observed in granular materials are still not yet fully understood, important contributions have been made to further our understanding using modern tools from statistical mechanics, micro-mechanics, and computational science.
These modern tools apply to disordered systems, phase transitions, instabilities or intermittent behavior and the performance of discrete particle simulations.
>> Until now, however, many of these results were only to be found scattered throughout the literature. Physicists are often unaware of the theories and results published by engineers or other fields - and vice versa.
The journal Granular Matter thus serves as an interdisciplinary platform of communication among researchers of various disciplines who are involved in the basic research on granular media. It helps to establish a common language and gather articles under one single roof that up to now have been spread over many journals in a variety of fields. Notwithstanding, highly applied or technical work is beyond the scope of this journal.