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International Journal of AI for
                                                                            Materials and Design





                                        ORIGINAL RESEARCH ARTICLE
                                        Data-driven prediction of strain fields in auxetic

                                        structures and non-contact validation with
                                        mechanoluminescence for structural health

                                        monitoring



                                        Junheui Jo †  , Minwoo Park †  , Sukheon Kang †  , Hugon Lee †  ,
                                        Chang-Yeon Gu , Taek-Soo Kim , and Seunghwa Ryu*

                                        Department of Mechanical Engineering, Korea  Advanced Institute of Science and  Technology,
                                        Yuseong-gu, Daejeon, Republic of Korea



                                        Abstract

                                        Recent advancements in 3D printing technology have significantly enhanced
                                        the potential of auxetic structures, which are notable for their negative Poisson’s
                                        ratio, particularly in applications such as sensor technology and structural health
                                        monitoring. Central to the performance of these structures is the accurate estimation
                                        of the effective strain parameter, a critical metric for assessing structural integrity.
                                        However, as structural complexity increases, estimating this parameter becomes
                                        increasingly challenging. The fabrication and real-world validation of these structures
            † These authors contributed equally   are equally important challenges. This paper introduces two key innovations for
            to this work.               the practical application of auxetic structures. First, we present a multi-kernel
            *Corresponding author:      hierarchical  deep  neural network that  leverages  finite element simulation  data
            Seunghwa Ryu                to accurately predict effective strain fields in complex auxetic configurations. This
            (ryush@kaist.ac.kr)         model architecture not only reduces the number of parameters requiring training
            Citation: Jo J, Park M, Kang S,   but also enhances feature learning and generalization capabilities, achieving over
            et al. Data-driven prediction of   90% accuracy in predicting strain fields. Second, we validate these predictions using
            strain fields in auxetic structures
            and non-contact validation with   a 3D-printed specimen embedded with mechanoluminescent (ML) particles. This
            mechanoluminescence for structural   approach enables direct, non-contact visualization of strain in real-time, offering
            health monitoring.  Int J AI Mater   high spatial and temporal resolution. The alignment observed between predicted
            Design. 2024;1(2):3539.
            doi:10.36922/ijamd.3539     and observed strain concentration areas demonstrates the efficacy of integrating ML
                                        technology into auxetic designs. This integration significantly improves the reliability
            Received: April 30, 2024
                                        and diagnostic capabilities of advanced structural systems.
            Accepted: June 18, 2024
            Published Online: July 30, 2024  Keywords: Mechanical metamaterials; Auxetic structure; Structural health monitoring;
            Copyright: © 2024 Author(s).   3D printing; Mechanoluminescence; Deep learning
            This is an Open-Access article
            distributed under the terms of the
            Creative Commons Attribution
            License, permitting distribution,
            and reproduction in any medium,   1. Introduction
            provided the original work is
            properly cited.             Mechanical auxetic structures have gained significant attention in engineering applications,
            Publisher’s Note: AccScience   driven by advancements in additive manufacturing technologies that enable the production
            Publishing remains neutral with   of complex shapes.  These structures exhibit a unique ability to expand laterally under tensile
                                                      1-4
            regard to jurisdictional claims in
            published maps and institutional   stress, characterized by a negative Poisson’s ratio (NPR), which confers superior mechanical
            affiliations.               properties.  Notably, auxetic structures are recognized for their enhanced shear resistance,
                                                5,6
            Volume 1 Issue 2 (2024)                         48                             doi: 10.36922/ijamd.3539
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