Additive manufacturing methods, commonly known as 3D printing, allow more sophisticated designs to be created. Willingly designed substructures incorporated into the solid open
up new possibilities for uncommon macroscopic deformation behavior. Such a man-made
structure is also referred to as a metamaterial. A detailed simulation of a polymer-based
metamaterial is challenging but accurately possible by means of the theory of elasticity. In
this study, we present experimental investigations of a metamaterial composed of pantographic substructures of different internal geometry. The pantographic structures show an
unexpected type of deformation, which can be modeled via elasticity with the aid of direct
numerical simulation by using the Finite Element (FE) method. In other words, a detailed
mesh is generated involving the substructure. The metamaterial is additively manufactured
out of a common polymer showing nonlinear elastic deformation and, therefore, hyperelastic
material models are used. Specifically, analytical solutions of a circular cylinder are examined and compared in the case of extension and torsion in order to comprehend the effects of
the coefficients inherent to the energy function of the hyperelastic model. Finally, FE computations of pantographic structures are performed and compared with the experimental
measurements.
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