“…Auxetic structures possess the novel property of a negative Poisson's ratio (PR) [9, 25,26]. Negative PR materials are well-known for their excellent of lateral contraction behaviour and resistance to expansion when exposed to compression and tension, respectively [27][28][29][30][31][32][33][34]. While common natural materials, also referred to as positive PR materials, exhibit swell behaviour perpendicular to compressive loading and contraction behaviour under tensile loading, as given in Figure 1 [25,35], these auxetic materials provide a wide range of engineering advantages with superior mechanical properties such as shear resistance [9], higher fracture toughness, lower fatigue crack propagation [36][37][38][39][40][41], vibration mitigation [42], indentation resistance [43], crashworthiness [44,45], light weight [46], energy absorption [47,48], etc.…”