Sandwich panels are basically composed of two plates made of resistant material interspersed with another material, the combinations and core geometries of these materials realize a structural efficiency gain. Thus, these structures has been used in various industrial processes, especially in the military area, in situations, for example, impact of a projectile, in military cars and bulletproof vests. The concepts addressed in this study are important because in the case of sandwich panels with auxethical structures, it is possible to design a product with high rigidity compared to non-auxethical structures. The objective of this monograph is to study and evaluate the behavior of sandwich panels with auxetic and non-auxethical structures. The study will be done to evaluate the influence of core composed of auxetic and non-auxethical structures, by the results of displacement and stresses generated through a uniform compression force on the surface of the structures. Thus, will be used software, such as OpenSCAD [7], to model the geometry and ANSYS [8], to calculate and analyze the properties of microstructures through the finite element method.