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International Journal of AI for
            Materials and Design
                                                                             AI-assisted ML monitoring in additive auxetics


            exceptional impact absorption, and augmented fracture   mechanical properties by achieving more uniform stress
            resistance.  They reduced the Poisson’s ratio while amplifying   distribution and reducing stress concentrations.
                    7
            strain sensitivity compared to conventional materials. 8,9  This study aims to leverage an AI-driven framework to
              This heightened sensitivity is particularly pronounced   predict effective strain within complex auxetic structures
            in  auxetic  structures  that  leverage  rotating  motion   and employ ML materials to directly monitor strain fields.
            under tensile stress to amplify their NPR behavior. 10,11    Auxetic designs incorporating ML were realized through
            Such sensitivity is, especially beneficial in fields such   3D printing processes, and the predictive model’s accuracy
            as structural health monitoring (SHM) and sensor   was validated by quantifying ML intensity. The observed
            technology, where precise monitoring of structural changes   linear relationship between ML intensity and effective
            is crucial. However, the distinctive deformation responses   strain, alongside comparisons with actual ML images,
            of auxetic structures can lead to localized stress and strain   underscores  the  potential  of  3D  printing  to  produce
            concentrations, which must be addressed during the design   complex auxetic structures embedded with ML particles
            process to prevent potential microcrack formation and   for  instantaneous  verification of  strain fields. Moreover,
            failure over prolonged use. Hence, accurately measuring   the application of ML in digital light processing (DLP)-
            the  spatial  distribution  of  strain  in  both  the  design  and   based functional 3D printing demonstrates its broad
            application phases of auxetic materials is crucial. 12-15  potential  across  structural  applications,  confirming  its
                                                               feasibility for sensing and SHM. This research illustrates
              To evaluate deformation without causing material damage
            or alterations, non-contact methods have been developed to   a comprehensive approach where prediction, fabrication,
                                                               and direct verification of structural  properties, focusing
            visualize strain fields. These methods encompass thermal,    on the effective strain, are achievable simultaneously. It
                                                         16
            acoustic, 17,18  optical, 19,20  and luminescent 21-23  techniques,   showcases the versatility and practical applicability of
            each offering distinct advantages and challenges. Among   this innovative methodology in fields requiring acute
            these, mechanoluminescence (ML) materials have emerged   sensitivity to deformation, such as civil engineering,
                                                                                                            34
            as a novel non-contact method. ML materials can visualize   aerospace engineering,  and monitoring deformation in
                                                                                 35
            stress and strain fields and track crack paths in response   pipes and sacrificial layers. 36,37
            to mechanical stimuli, 24,25  offering the potential to map
            the  spatial  distribution  of  local  mechanical  responses.    2. Methods
                                                         12
                                   3+
                               2+
            Specifically, SrAl O : Eu , Dy  (SAOED), a representative
                           4
                         2
            material used in ML composites, demonstrates excellent   2.1. Generation of auxetic structures
            reproducibility and a linear response to stress. This   2.1.1. Parametrization and design of auxetic structures
            capability allows ML to provide strain distribution   In this study, we designed auxetic structures with
            information comparable to traditional methods such as   NPR characteristics utilizing Bézier curves, which are
            digital image correlation (DIC)  by quantifying light   parametric curves  defined  by a  set  of control  points,
                                       26
            intensity without the use of speckle patterns.  Given the   offering continuous and smooth curves. The Bézier curves
                                                12
            high costs and extensive pre-processing required for DIC   characterize the void domain within the unit cell of auxetic
            setup and measurements, ML-aided evaluations of localized   structures (Figure 1A) and are defined by Equation I:
            strains are expected to offer a cost-effective and deployable
                                                                          n
            solution in SHM for various structures.                     n      ni
                                                                                  −
                                                                             ( − t
                                                                  B ( ) =  ∑   it )  t i P ,  ∈  t    0,1 ,  (I)
                                                                                              
                                                                                     i
                                                                           i
              The  predicted  strain  distribution from  finite  element   i =  
                                                                         0
            analysis (FEA) 27-29  and those derived from ML-based SHM
            methods can be effectively combined to enhance the design   Where t is a continuous value between 0 and 1, P  is the
                                                                                                        i
            reliability of auxetic structures. With advancements in   set of control points, and denotes the binomial coefficient.
            additive manufacturing, it is now possible to fabricate highly   We employed four control points (n = 4) to balance design
                                                                                                         38
            complex auxetic designs. However, the growing complexity   capability and cost for exploring design variables.  For
            of these structures, which encompass a vast design space,   the design of a single closed curve, a total of eight Bézier
            necessitates even more efficient prediction and design   curves were utilized, as shown in Figure 1B. These eight
            techniques. To meet these demands, recent developments   Bézier curves were comprised two symmetrical shifts of
            have introduced artificial intelligence (AI). By integrating AI   two curves generated in the first quadrant, satisfying C
                                                                                                             1
                                                                               39
            with FEA, various physical fields, such as stress fields, strain   and C  continuities.
                                                                    2
            fields, and crack behaviors, as well as diverse design spaces,   Subsequently, unit cells were constructed by rotating
            can be explored efficiently. 30-33  Consequently, through the   and symmetrically shifting the generated closed Bézier
            analysis of physical fields, structural engineers can enhance   curves, defined by four design variables l , l , x, and y, as
                                                                                                a
                                                                                                  b
            Volume 1 Issue 2 (2024)                         49                             doi: 10.36922/ijamd.3539
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