Material Fingerprinting for rapid discovery of hyperelastic models: First experimental validation

IF 6.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY
Denisa Martonová , Ellen Kuhl , Moritz Flaschel
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引用次数: 0

Abstract

Material Fingerprinting is an emerging approach for the rapid discovery of mechanical material models directly from experimental data. By interpreting a material’s response in standardized experiments as its fingerprint, Material Fingerprinting employs pattern recognition to match experimental data against a precomputed database, enabling real-time model discovery. This strategy is both fast and robust, as it avoids solving potentially non-convex optimization problems. Unlike traditional calibration methods, Material Fingerprinting simultaneously selects the most suitable material model and identifies its parameters. Since the fingerprint database is fully controllable, the method guarantees interpretable and physically meaningful models. In previous work, we showed the feasibility of this concept for experiments with homogeneous or heterogeneous deformation fields using synthetically generated data. Here we present the first experimental validation of Material Fingerprinting. We carefully design a fingerprint database for uniaxial tension/compression, equibiaxial tension as well as pure and simple shear experiments. Once computed in an offline phase, this database can be reused for rapid model discovery across diverse experimental datasets. We demonstrate that this single database enables the robust and efficient discovery of hyperelastic strain energy functions to accurately characterize the isotropic mechanical responses of rubber, hydrogel, and brain tissue in less than one second on a standard personal computer. To make this approach openly accessible for rapid material model discovery across laboratories, we release the database and the implementation of Material Fingerprinting as a pip-installable Python package alongside this publication.
快速发现超弹性模型的材料指纹:首次实验验证
材料指纹是一种新兴的方法,可以直接从实验数据中快速发现机械材料模型。通过将材料在标准化实验中的反应解释为其指纹,材料指纹技术采用模式识别技术将实验数据与预先计算的数据库进行匹配,从而实现实时模型发现。这种策略既快速又健壮,因为它避免了解决潜在的非凸优化问题。与传统的校准方法不同,材料指纹识别同时选择最合适的材料模型并识别其参数。由于指纹数据库是完全可控的,该方法保证了模型的可解释性和物理意义。在之前的工作中,我们使用合成生成的数据证明了该概念在均匀或非均匀变形场实验中的可行性。在这里,我们提出了材料指纹识别的第一个实验验证。我们精心设计了单轴拉伸/压缩、等双轴拉伸以及纯剪切和简单剪切实验的指纹数据库。一旦在离线阶段计算,该数据库可以被重用,用于跨不同实验数据集的快速模型发现。我们证明,这个单一的数据库能够在不到一秒的时间内,在标准的个人计算机上准确地描述橡胶、水凝胶和脑组织的各向同性力学响应,从而强大而有效地发现超弹性应变能函数。为了使这种方法能够在实验室中快速发现材料模型,我们将数据库和材料指纹的实现作为可安装的Python包与本出版物一起发布。
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来源期刊
Journal of The Mechanics and Physics of Solids
Journal of The Mechanics and Physics of Solids 物理-材料科学:综合
CiteScore
9.80
自引率
9.40%
发文量
276
审稿时长
52 days
期刊介绍: The aim of Journal of The Mechanics and Physics of Solids is to publish research of the highest quality and of lasting significance on the mechanics of solids. The scope is broad, from fundamental concepts in mechanics to the analysis of novel phenomena and applications. Solids are interpreted broadly to include both hard and soft materials as well as natural and synthetic structures. The approach can be theoretical, experimental or computational.This research activity sits within engineering science and the allied areas of applied mathematics, materials science, bio-mechanics, applied physics, and geophysics. The Journal was founded in 1952 by Rodney Hill, who was its Editor-in-Chief until 1968. The topics of interest to the Journal evolve with developments in the subject but its basic ethos remains the same: to publish research of the highest quality relating to the mechanics of solids. Thus, emphasis is placed on the development of fundamental concepts of mechanics and novel applications of these concepts based on theoretical, experimental or computational approaches, drawing upon the various branches of engineering science and the allied areas within applied mathematics, materials science, structural engineering, applied physics, and geophysics. The main purpose of the Journal is to foster scientific understanding of the processes of deformation and mechanical failure of all solid materials, both technological and natural, and the connections between these processes and their underlying physical mechanisms. In this sense, the content of the Journal should reflect the current state of the discipline in analysis, experimental observation, and numerical simulation. In the interest of achieving this goal, authors are encouraged to consider the significance of their contributions for the field of mechanics and the implications of their results, in addition to describing the details of their work.
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