A multi-scale homogenization framework for design and strain-gradient modeling of additively manufactured parts fabricated by particulate composites

IF 1.9 4区 工程技术 Q3 MECHANICS Continuum Mechanics and Thermodynamics Pub Date : 2024-08-29 DOI:10.1007/s00161-024-01320-5
B. Cagri Sarar, M. Erden Yildizdag, B. Emek Abali
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Abstract

Classical homogenization approaches applied to heterogeneous materials are suitable for the cases where a scale-separation is eminent. As the length-scale at the effective continuum reaches the length-scale of the microstructure of the material, classical homogenization approaches fail to be accurate. In such cases, higher-gradient theories may be stimulated for multi-scale material modeling of complex structures in terms of geometry and material. In this study, a multi-scale homogenization framework is presented for additively manufactured (3-D printed) composite parts with specific infill design. The overall framework consists of two major steps, namely micro-to-material and material-to-structure homogenization. In both steps, an asymptotic homogenization procedure is applied to determine constitutive parameters. In the micro-to-material homogenization, the constitutive parameters of the composite material are first determined regarding the material composition. Then, in the material-to-structure homogenization, the constitutive parameters are obtained regarding the infill design of the additively manufactured part. The developed two-step homogenization framework is applied for an off-the-shelf composite material commonly used in 3-D printers. Specifically, in this study, composite parts printed with grid infills are investigated numerically considering different infill ratios.

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用于微粒复合材料快速成型部件设计和应变梯度建模的多尺度均质化框架
应用于异质材料的经典均质方法适用于尺度分离明显的情况。当有效连续体的长度尺度达到材料微观结构的长度尺度时,经典均质化方法就不再精确。在这种情况下,可以采用高梯度理论对几何和材料方面的复杂结构进行多尺度材料建模。本研究针对具有特定填充设计的添加制造(3-D 打印)复合材料零件提出了一个多尺度均质化框架。整个框架包括两个主要步骤,即微观到材料和材料到结构的均质化。在这两个步骤中,都采用渐近均质化程序来确定构成参数。在微观到材料的均质化过程中,首先确定复合材料有关材料成分的构成参数。然后,在材料到结构的均质化过程中,获得有关快速成型部件填充设计的构成参数。所开发的两步均质化框架适用于 3-D 打印机中常用的现成复合材料。具体来说,本研究对使用网格填充物打印的复合材料部件进行了数值研究,并考虑了不同的填充比例。
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来源期刊
CiteScore
5.30
自引率
15.40%
发文量
92
审稿时长
>12 weeks
期刊介绍: This interdisciplinary journal provides a forum for presenting new ideas in continuum and quasi-continuum modeling of systems with a large number of degrees of freedom and sufficient complexity to require thermodynamic closure. Major emphasis is placed on papers attempting to bridge the gap between discrete and continuum approaches as well as micro- and macro-scales, by means of homogenization, statistical averaging and other mathematical tools aimed at the judicial elimination of small time and length scales. The journal is particularly interested in contributions focusing on a simultaneous description of complex systems at several disparate scales. Papers presenting and explaining new experimental findings are highly encouraged. The journal welcomes numerical studies aimed at understanding the physical nature of the phenomena. Potential subjects range from boiling and turbulence to plasticity and earthquakes. Studies of fluids and solids with nonlinear and non-local interactions, multiple fields and multi-scale responses, nontrivial dissipative properties and complex dynamics are expected to have a strong presence in the pages of the journal. An incomplete list of featured topics includes: active solids and liquids, nano-scale effects and molecular structure of materials, singularities in fluid and solid mechanics, polymers, elastomers and liquid crystals, rheology, cavitation and fracture, hysteresis and friction, mechanics of solid and liquid phase transformations, composite, porous and granular media, scaling in statics and dynamics, large scale processes and geomechanics, stochastic aspects of mechanics. The journal would also like to attract papers addressing the very foundations of thermodynamics and kinetics of continuum processes. Of special interest are contributions to the emerging areas of biophysics and biomechanics of cells, bones and tissues leading to new continuum and thermodynamical models.
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