Comparison between ALE and Lagrangian finite element formulations to simulate tensile loading for FDM parts

Mohamed Khalil Homrani
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Abstract

Abstract. Material Extrusion (MEX) and by extension Fused Deposition Modeling (FDM) is a popular Additive Manufacturing (AM) process used to fabricate complex parts. FDM as of recent is no longer solely utilized for prototyping parts but also used for producing functional components in industrial and research applications. The investigation of material properties of these FDM parts by experimental means is a time-consuming task. Therefore, the use of numerical simulation methods is highly required. Since 1993, various Finite Element Analysis (FEA) models are found in literature attempting to effectively simulate FDM parts utilizing many formulations, each with their pros and cons. The present study aims to compare Lagrangian and Arbitrary Lagrangian-Eulerian (ALE) finite element formulations in simulating tensile loading for FDM parts. The efficiency and precision of the aforementioned methods is evaluated in the numerical simulation of the tensile loading of an ASTM D638 standard geometry ABS specimen utilizing both ABAQUS/Explicit and ABAQUS/Standard. Utilizing a paper from the literature for experimental validation, this study additionally provides insight into explicit and implicit models’ computational efficiency, focusing on the advantages of explicit models for this application. The effects of mesh element type and size on results are also studied for each method. Based on these results, some useful guidelines for selecting the most suitable model of tensile loaded FDM parts are presented.
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模拟 FDM 零件拉伸载荷的 ALE 和拉格朗日有限元计算方法比较
摘要。材料挤压(MEX)和熔融沉积建模(FDM)是一种常用的快速成型制造(AM)工艺,用于制造复杂的零件。近年来,FDM 已不再仅仅用于制造原型零件,还被用于生产工业和研究应用中的功能部件。通过实验手段研究这些 FDM 零件的材料特性是一项耗时的任务。因此,非常需要使用数值模拟方法。自 1993 年以来,文献中出现了各种有限元分析(FEA)模型,试图利用多种公式对 FDM 零件进行有效模拟,这些公式各有利弊。本研究旨在比较拉格朗日法和任意拉格朗日-欧勒法(ALE)有限元模型在模拟 FDM 零件拉伸载荷中的应用。在利用 ABAQUS/Explicit 和 ABAQUS/Standard 对 ASTM D638 标准几何 ABS 试样进行拉伸加载的数值模拟中,对上述方法的效率和精度进行了评估。利用文献中的一篇论文进行实验验证,本研究还对显式模型和隐式模型的计算效率进行了深入分析,重点关注显式模型在此应用中的优势。此外,还研究了每种方法的网格元素类型和大小对结果的影响。在这些结果的基础上,提出了选择最合适的拉伸加载 FDM 零件模型的一些有用指导原则。
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