Description
Double arrowhead honeycombs (DAHs) are a type of cellular materials showing auxetic behavior (i.e., the effect of negative Poisson’s ratio (NPR)) and are promising for energy absorption. The impact responses of DAHs are explored by a combined theoretical and numerical study. Analytical expressions for the in-plane Young’s modulus, Poisson’s ratio, and static plateau stress are derived, showing that the geometrical parameters play primary role in the auxetic behavior of uniform DAHs. For the impact responses, two deformation modes associated with low and high velocity impacts, respectively, are identified. The corresponding theoretical solutions for the dynamic plateau stresses are obtained. Finite element simulations of uniform DAHs subject to different impact velocities reveal that there exists a critical impact velocity beyond which the dynamic plateau stress is insensitive to the NPR effect, confirming the theoretical predictions. In addition to uniform DAHs, functionally graded DAHs are also investigated. They are shown to only have improved energy absorption capacity under high velocity impacts. The results of uniform DAHs are found to be able to interpret the simulated dynamic plateau stress of functionally graded DAHs. The deformation mechanisms associated with the impact resistance of both uniform and functionally graded DAHs are discussed.
Recommended Citation
Qiao, J., & Chen, C. (2014). The impact resistance of auxetic double arrowhead honeycombs. In A. Bajaj, P. Zavattieri, M. Koslowski, & T. Siegmund (Eds.). Proceedings of the Society of Engineering Science 51st Annual Technical Meeting, October 1-3, 2014 , West Lafayette: Purdue University Libraries Scholarly Publishing Services, 2014. https://docs.lib.purdue.edu/ses2014/mss/mmemb/8
The impact resistance of auxetic double arrowhead honeycombs
Double arrowhead honeycombs (DAHs) are a type of cellular materials showing auxetic behavior (i.e., the effect of negative Poisson’s ratio (NPR)) and are promising for energy absorption. The impact responses of DAHs are explored by a combined theoretical and numerical study. Analytical expressions for the in-plane Young’s modulus, Poisson’s ratio, and static plateau stress are derived, showing that the geometrical parameters play primary role in the auxetic behavior of uniform DAHs. For the impact responses, two deformation modes associated with low and high velocity impacts, respectively, are identified. The corresponding theoretical solutions for the dynamic plateau stresses are obtained. Finite element simulations of uniform DAHs subject to different impact velocities reveal that there exists a critical impact velocity beyond which the dynamic plateau stress is insensitive to the NPR effect, confirming the theoretical predictions. In addition to uniform DAHs, functionally graded DAHs are also investigated. They are shown to only have improved energy absorption capacity under high velocity impacts. The results of uniform DAHs are found to be able to interpret the simulated dynamic plateau stress of functionally graded DAHs. The deformation mechanisms associated with the impact resistance of both uniform and functionally graded DAHs are discussed.