Mathematics and Mechanics of Solids
Auxetic behavior refers to lateral widening upon stretching or, in reverse, lateral shrinking upon compression. When an initially auxetic structure is actuated by compression or extension, it will not necessarily remain auxetic for larger deformations. In this paper, we investigate the auxetic range in the deformation of a periodic framework with one degree of freedom. We use geometric criteria to identify the interval where the deformation is auxetic and validate these theoretical findings with compression experiments on sample structures with (Formula presented.) unit cells.
Auxetic interval, compression test, periodic framework
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
© The Author(s) 2021
Borcea, Ciprian S.; Broeren, Freek G.J.; Herder, Just L.; Streinu, Ileana; and van der Wijk, Volkert, "Auxetic Interval Determination and Experimental Validation for a Three-Dimensional Periodic Framework" (2022). Computer Science: Faculty Publications, Smith College, Northampton, MA.