Abstract
This manuscript has more than 150 papers as a reference about energy absorption of auxetic structures and shows how several authors have approached the subject and how research in this field has progressed. It can be noted from the present paper that additive manufacturing has been an ally of researchers in the samples manufacturing and numerical analysis has also been widely used by the authors. In addition, this manuscript will provide a context for auxetic structures, discussing some cell models. The results obtained here serve as additional guidelines to assist engineers and designers in the development of auxetic structures.