The effect of architecture on the mechanical properties of cellular structures based on the IWP minimal surface

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Reza Rowshan Core Technology Platforms, New York University Abu Dhabi, P.O. 129188, Abu Dhabi, United Arab Emirates (Received 1 July 2017; accepted 28 December 2017)

Architected materials are materials engineered to utilize their topological aspects to enhance the related physical and mechanical properties. With the witnessed progressive advancements in fabrication techniques, obstacles and challenges experienced in manufacturing geometrically complex architected materials are mitigated. Different strut-based architected lattice structures have been investigated for their topology-property relationship. However, the focus on lattice design has recently shifted toward structures with mathematically defined architectures. In this work, we investigate the architecture-property relationship associated with the possible configurations of employing the mathematically attained Schoen’s I-WP (IWP) minimal surface to create lattice structures. Results of mechanical testing showed that sheet-based IWP lattice structures exhibit a stretching-dominated behavior with the highest structural efficiency as compared to other forms of strut-based and skeletal-based lattice structures. This study presents experimental and computational evidence of the robustness and suitability of sheet-based IWP structures for different engineering applications, where strong and lightweight materials with exceptional energy absorption capabilities are required. I. INTRODUCTION

Recent approaches in material design focused on architectural and topological aspects rather than chemical and microstructural aspects to control the mechanical and physical properties of materials.1–11 Metallic foams and lattice structures are unique in that their topology and relative density (defined as the density of the structure relative to the density of the base material) can be controlled to manipulate and tailor their properties. They can be fabricated using several industrial scale manufacturing methods that are proved to be economically feasible and offer cost-effective production.12 Because of their topological features, they offer unique architecture-related functional characteristics, such as high stiffness to weight ratio, heat dissipation capabilities, and enhanced mechanical energy absorption, among others. As a result, they witnessed successful utilization in different engineering disciplines, including biomedical implants,13,14 scaffolds for tissue engineering,15 filters,16 electrodes,17 catalysts,18 heat exchangers,19–21 and lightweight structures.7,22 In general, metallic foams are stochastic and irregular in nature due to their fabrication techniques. In fact, these Contributing Editor: Lorenzo Valdevit a) Address all correspondence to this author. e-mail: [email protected], [email protected] DOI: 10.1557/jmr.2018.1

fabrication techniques are limited in their ability to fully control the internal morphology of the metallic foam, causing low repeatability of the morphology and, hence, uncertainties in the mechanical and physical properties. Despite