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Materials Science in

                                                                  Additive Manufacturing



                                        ORIGINAL RESEARCH ARTICLE
                                        Energy absorption and recoverability of Moore

                                        space-filling thin-walled structures



                                        Changlang Wu, Vuong Nguyen-Van, and Phuong Tran*
                                        School of Engineering, RMIT University, Melbourne, VIC 3000, Australia



                                        Abstract

                                        This  paper  proposes  novel  thin-walled  structures  inspired  by  Moore  space-filling
                                        curves. Nine designs, featuring three fractal hierarchies (1 , 2 , and 3  orders) with
                                                                                        st
                                                                                           nd
                                                                                                  rd
                                        three different relative densities (20%, 30%, and 40%), were used as cross-sectional
                                        configurations of the thin-walled structures. Specimens were manufactured using
                                        a material extrusion additive manufacturing technique, fused filament fabrication,
                                        with a carbon fiber-reinforced composite. Quasi-static compression tests from
                                        in-plane direction were conducted to investigate the influences of fractal hierarchy
                                        and relative density on the energy absorption capacity. Finite element models were
                                        developed to compare with the experiments and to further explore the 4  order
                                                                                                       th
                                        structures. A  certain level of compliance and snap-in instability were observed
                                        in all the structures.  These properties show great potential for such thin-walled
                                        structures to absorb more energy by enduring large strain. Among them, the
                                        2   order structures exhibited the best energy absorption capacity. Furthermore,
                                         nd
                                        loading and unloading compression tests were performed on the 2  and 3  order
                                                                                                       rd
                                                                                                 nd
                                        structures (relative density of 20%) to evaluate their resilience toward displacement
                                        and damages. The residual strain and dissipated energy ratio demonstrated that the
            *Corresponding author:      2  order structure outperformed the 3  order structure owing to its less compliant
                                         nd
                                                                        rd
            Phuong Tran
            (jonathan.tran@rmit.edu.au)   feature.  The integration of Moore curves with thin-walled structures contributes
                                        to great compliance and snap-in instability, offering a new approach to designing
            Citation: Wu C, Nguyen-Van V,
            Tran P, 2023, Energy absorption   lightweight energy absorption structures.
            and recoverability of Moore space-
            filling thin-walled structures. Mater
            Sci Add Manuf, 2(1): 53.    Keywords: Fractal; Compliant structures; Snap-in instability; Energy absorption; Additive
            https://doi.org/10.36922/msam.53   manufacturing
            Received: February 20, 2023
            Accepted: March 7, 2023
            Published Online: March 24, 2023  1. Introduction
            Copyright: © 2023 Author(s).   Energy absorption has always been one of the design objectives to provide protection to
            This is an Open Access article
            distributed under the terms of the   humans and structures during dynamic or impact events, such as high specific energy
            Creative Commons Attribution   absorption (SEA) [1-4] ,  lightweight [5-8] ,  low  cost [5,9,10] ,  and easy  installation [11,12] .  Among
            License, permitting distribution,   various types of structures, thin-walled structures have been widely used as effective
            and reproduction in any medium,
            provided the original work is   energy absorbers in civil engineering, automobile engineering, aerospace engineering,
            properly cited.             etc., considering its excellent energy absorbing capacity and lightweight features .
                                                                                                           [13]
            Publisher’s Note: AccScience   Over the past decades, designing lightweight thin-walled structures without sacrificing
            Publishing remains neutral with   their energy absorption or crashworthiness has become a hot research topic. It has been
            regard to jurisdictional claims in
            published maps and institutional   demonstrated that the energy absorption capacity of thin-walled structures is influenced
            affiliations.               by various factors, such as structural configuration, material selection, and trigger


            Volume 2 Issue 1 (2023)                         1                        https://doi.org/10.36922/msam.53
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