Idealized 3D Auxetic Mechanical Metamaterial: An Analytical, Numerical, and Experimental Study

Mechanical metamaterials are man-made rationally-designed structures that present unprecedented mechanical properties not found in nature. One of the most well-known is auxetics, which demonstrates negative Poisson’s ratio (NPR) behavior very beneficial several industrial applications. In this study, a specific type auxetic metamaterial structure namely idealized 3D re-entrant studied analytically, numerically, and experimentally. The noted constructed three types struts—one loaded purely axially two simultaneously flexurally axially, inclined spatially defined by angles ? ?. Analytical relationships for elastic modulus, yield stress, unit cell derived based on beam theories Euler–Bernoulli Timoshenko. Moreover, finite element approaches one elements volumetric implemented. Furthermore, specimens additively manufactured (3D printed) tested under compression. analytical results had good agreement with experimental hand model other hand. effect various geometrical parameters was studied, demonstrated angle (related to tension-dominated struts) has highest influence sign its extent, while ? compression-dominated lowest ratio. Nevertheless, struts (defined ?) provide strength stiffness structure. also could have zero range angles. Finally, lightened introduced, compared those