Micro‐Mechanical Analysis for Residual Stresses and Shakedown of Cohesionless‐Frictional Particulate Materials Under Moving Surface Loads

IF 3.4 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL
Wei Cai, Ping Xu, Runhua Zhang
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Abstract

Residual stresses and shakedown have been successfully presented by two‐dimensional numerical experiments based on the discrete element method (DEM), wherein a cohesionless‐frictional material under moving surface loads was replicated through irregular‐shaped particles. With surface loads below the shakedown limit, both permanent deformations and residual stresses cease to accumulate and the numerical structure shakes down after a number of load passes. Corresponding micro‐mechanical analyses indicate that strong forces and normal forces make a dominant contribution to residual stresses. Besides, averaged magnitudes of interparticle forces and corresponding total contact numbers initially change with load passes, and their final variation trends will differ as the structure shakes down or not. Furthermore, polar distributions of interparticle forces and contacts have been presented, and variations of their preferential orientations were emphasised. Lastly, the fabric tensor and anisotropy of resultant forces were studied, presenting the anisotropy weakening of macro‐stress fields, induced by developments of residual stresses.
移动表面载荷下无内聚摩擦颗粒材料残余应力和抖动的微观力学分析
基于离散元法(DEM)的二维数值实验成功地展示了残余应力和抖动,通过不规则形状的颗粒复制了移动表面载荷下的无内聚摩擦材料。当表面载荷低于晃动极限时,永久变形和残余应力都不再累积,数值结构在经过若干次载荷后发生晃动。相应的微观力学分析表明,强力和法向力对残余应力起着主导作用。此外,粒子间力的平均值和相应的总接触数最初会随着加载次数的增加而变化,其最终变化趋势也会随着结构的抖动与否而不同。此外,还介绍了粒子间作用力和接触的极性分布,并强调了其优先方向的变化。最后,研究了结构张量和结果力的各向异性,展示了残余应力发展所引起的宏观应力场的各向异性削弱。
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来源期刊
CiteScore
6.40
自引率
12.50%
发文量
160
审稿时长
9 months
期刊介绍: The journal welcomes manuscripts that substantially contribute to the understanding of the complex mechanical behaviour of geomaterials (soils, rocks, concrete, ice, snow, and powders), through innovative experimental techniques, and/or through the development of novel numerical or hybrid experimental/numerical modelling concepts in geomechanics. Topics of interest include instabilities and localization, interface and surface phenomena, fracture and failure, multi-physics and other time-dependent phenomena, micromechanics and multi-scale methods, and inverse analysis and stochastic methods. Papers related to energy and environmental issues are particularly welcome. The illustration of the proposed methods and techniques to engineering problems is encouraged. However, manuscripts dealing with applications of existing methods, or proposing incremental improvements to existing methods – in particular marginal extensions of existing analytical solutions or numerical methods – will not be considered for review.
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