Journal
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME
Volume 82, Issue 5, Pages -Publisher
ASME
DOI: 10.1115/1.4030007
Keywords
double arrowhead honeycombs; negative Poisson's ratio; impact response; energy absorption
Categories
Funding
- National Natural Science Foundation of China [11472149]
- National Basic Research Program of China [2011CB610305]
- Tsinghua University Initiative Scientific Research Program [2014z22074]
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Double arrowhead honeycombs (DAHs) are a type of auxetic materials, i.e., showing negative Poisson's ratio (NPR), and are promising for energy absorption applications. Their in-plane impact responses are theoretically and numerically explored. Theoretical models for the collapse stress under quasi-static, low-velocity, and high-velocity impacts are developed, based upon the corresponding microstructural deformation modes. Obtained results show that the collapse stress under quasi-static and low velocity impacts depends upon the two re-entrant angles responsible for NPR, while it is insensitive to them under high-velocity impact. The developed theoretical models are employed to analyze the energy absorption capacity of DAHs, showing the absorbed energy under high-velocity impact approximately proportional to the second power of velocity. Extension of the high-velocity impact model to functionally graded (FG) DAHs is also discussed. Good agreement between the theoretical and finite element (FE) predictions on the impact responses of DAHs is obtained.
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