JKR与DMT接触模型在增材制造粉末扩散DEM模拟中的比较研究

IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Sujith Reddy Jaggannagari, Yixiang Gan, Ratna Kumar Annabattula
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引用次数: 0

摘要

粉末扩散是粉末床熔融增材制造中最基本、最重要的工艺。粉末颗粒由于其微米大小而经历凝聚力,这些力影响层的质量。采用离散元法(DEM)对粉末扩散动力学进行了模拟。在过去的研究中,采用了非粘性和粘性相互作用的DEM接触模型。本研究比较了两种主要的内聚接触模型,Johnson-Kendall-Roberts (JKR)和Derjaguin-Muller-Toporov (DMT)。分析了粘聚参数和粒径对铺层质量的影响。此外,还进行了介观分析,以深入了解扩散机制的行为。在粉末扩散过程的背景下,研究了建立特定黏聚模型适用性的Tabor参数(\(\lambda _{\textrm{T}}\))。两种模型在较低的\(\lambda _{\textrm{T}}\)下预测的堆积分数相似,而在较高的\(\lambda _{\textrm{T}}\)值下,JKR和DMT模型的接触力出现分歧,导致堆积分数和扩散层局部颗粒构型的差异。结果表明,JKR模型适用于整个Tabor参数范围。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A comparative study of JKR and DMT contact models for the DEM simulation of powder spreading in additive manufacturing

Powder spreading is the fundamental and most important process of powder bed fusion additive manufacturing. Powder particles experience cohesive forces due to their micron size, and these forces influence the quality of the layer. The dynamics of powder spreading is simulated using the discrete element method (DEM). DEM contact models with non-cohesive and cohesive interactions were used in past studies. This work compares two predominant cohesion contact models, the Johnson–Kendall–Roberts (JKR) and Derjaguin–Muller–Toporov (DMT). The influence of cohesion parameters and particle size on the spread layer quality is analysed. Additionally, mesoscopic analysis is carried out to gain insights into the behaviour of the spreading mechanism. The Tabor parameter (\(\lambda _{\textrm{T}}\)) that establishes the suitability of a specific cohesion model is investigated in the context of powder spreading process. Both models predict similar packing fractions at lower \(\lambda _{\textrm{T}}\), whereas, at higher values of the \(\lambda _{\textrm{T}}\), the contact forces of the JKR and DMT models diverge, leading to differences in packing fractions and local particle configurations in the spread layer. The findings demonstrate that the JKR model is applicable across the entire range of Tabor parameter.

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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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