Micro-mechanical analysis of residual stresses in cohesive-frictional particulate materials under moving surface loads

IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Wei Cai, Ping Xu, Runhua Zhang
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Abstract

This study focuses on the build-up of residual stresses of cohesive-frictional materials under moving surface loads, and corresponding micromechanisms are studied in particle scales using discrete element methods. The numerical procedure is validated with macroscopic residual stresses obtained by experimental tests and finite element methods. It is found that residual stresses are dominated by normal contact and normal bond forces, and strong force chains make a leading contribution to build-ups of residual stresses. A further study indicates that the increase of averaged interparticle forces is a critical factor to growths of residual stresses, which is generally accompanied with decreased proportions of contacts carrying small forces. Simultaneously, the averaged magnitude of interparticle forces belonging to single orientations generally grows with developments of residual stresses, and for resultant forces it distributes almost isotropically. Nevertheless, because of gradual developments of residual stresses, macroscopic stress fields should be anisotropic, which is subsequently validated to be dominated by the fabric anisotropy.

Abstract Image

移动表面载荷下内聚摩擦颗粒材料残余应力的微观力学分析
本研究的重点是内聚摩擦材料在移动表面载荷作用下残余应力的积累,并采用离散元方法研究了颗粒尺度上的相应微观机制。通过实验测试和有限元方法获得的宏观残余应力验证了数值程序。研究发现,残余应力主要受法向接触力和法向结合力的影响,强力链对残余应力的形成起主导作用。进一步的研究表明,颗粒间平均作用力的增加是残余应力增长的关键因素,通常伴随着小作用力接触比例的下降。同时,属于单一方向的颗粒间力的平均值通常会随着残余应力的发展而增加,对于结果力来说,其分布几乎是各向同性的。然而,由于残余应力的逐渐发展,宏观应力场应该是各向异性的,这一点随后被证实是由织物的各向异性所主导的。
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来源期刊
Computational Particle Mechanics
Computational Particle Mechanics Mathematics-Computational Mathematics
CiteScore
5.70
自引率
9.10%
发文量
75
期刊介绍: GENERAL OBJECTIVES: Computational Particle Mechanics (CPM) is a quarterly journal with the goal of publishing full-length original articles addressing the modeling and simulation of systems involving particles and particle methods. The goal is to enhance communication among researchers in the applied sciences who use "particles'''' in one form or another in their research. SPECIFIC OBJECTIVES: Particle-based materials and numerical methods have become wide-spread in the natural and applied sciences, engineering, biology. The term "particle methods/mechanics'''' has now come to imply several different things to researchers in the 21st century, including: (a) Particles as a physical unit in granular media, particulate flows, plasmas, swarms, etc., (b) Particles representing material phases in continua at the meso-, micro-and nano-scale and (c) Particles as a discretization unit in continua and discontinua in numerical methods such as Discrete Element Methods (DEM), Particle Finite Element Methods (PFEM), Molecular Dynamics (MD), and Smoothed Particle Hydrodynamics (SPH), to name a few.
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