基于贝塞尔曲线的具有目标特性的蜂窝超材料的深度学习加速设计

IF 2.9 3区 工程技术 Q2 MECHANICS International Journal of Applied Mechanics Pub Date : 2024-05-30 DOI:10.1142/s1758825124500674
Chuang Liu, Heng-An Wu
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引用次数: 0

摘要

机器学习引发了人们对机械超材料设计领域的浓厚兴趣。这些超材料的独特性能来自微结构而非组成材料本身。在此背景下,我们引入了一种新颖的数据驱动方法,用于设计具有特定目标特性的各向同性蜂窝超材料。我们的方法利用了贝塞尔曲线框架,并战略性地设置了控制点。机器学习模型利用这些控制点的位置来实现所需的材料特性。这一过程包括两个主要步骤。首先,我们建立一个能够根据给定设计预测材料特性的正向模型。然后,我们构建一个反演模型,将材料属性作为输入,并将相应的设计参数作为输出。我们的结果表明,使用基于贝塞尔曲线的策略生成的数据集显示了广泛的弹性分布。用设计参数而不是基于像素的数字来描述几何形状,可以提高网络的训练效率。双网络训练方法有助于避免特定弹性特性可能对应不同几何设计的矛盾。我们验证了反演模型在弹性特性和相对密度方面的预测准确性。所提出的方法有望加速具有所需特性的蜂窝超材料的设计。
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Deep Learning Accelerated Design of Bézier Curve-Based Cellular Metamaterials with Target Properties

Machine learning has sparked significant interest in the realm of designing mechanical metamaterials. These metamaterials derive their unique properties from microstructures rather than the constituent materials themselves. In this context, we introduce a novel data-driven approach for the design of an orthotropic cellular metamaterials with specific target properties. Our methodology leverages a Bézier curve framework with strategically placed control points. A machine learning model harnesses the positions of these control points to achieve the desired material properties. This process consists of two main steps. Initially, we establish a forward model capable of predicting material properties based on given designs. Then, we construct an inverse model that takes material properties as inputs and produces corresponding design parameters as outputs. Our results demonstrate that the dataset generated using the Bézier curve-based strategy shows a wide range of elastic distributions. Describing the geometry in terms of design parameters, rather than pixel-based figures, enhances the training efficiency of the networks. The dual-network training approach helps avoid contradictions where specific elastic properties may correspond to various geometric designs. We verify the prediction accuracy of the inverse model concerning elastic properties and relative density. The presented approach holds promise for accelerating the design of cellular metamaterials with desired properties.

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来源期刊
CiteScore
5.80
自引率
11.40%
发文量
116
审稿时长
3 months
期刊介绍: The journal has as its objective the publication and wide electronic dissemination of innovative and consequential research in applied mechanics. IJAM welcomes high-quality original research papers in all aspects of applied mechanics from contributors throughout the world. The journal aims to promote the international exchange of new knowledge and recent development information in all aspects of applied mechanics. In addition to covering the classical branches of applied mechanics, namely solid mechanics, fluid mechanics, thermodynamics, and material science, the journal also encourages contributions from newly emerging areas such as biomechanics, electromechanics, the mechanical behavior of advanced materials, nanomechanics, and many other inter-disciplinary research areas in which the concepts of applied mechanics are extensively applied and developed.
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