Journal
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
Volume 58, Issue 4, Pages 1395-1410Publisher
SPRINGER
DOI: 10.1007/s00158-018-1970-y
Keywords
Mechanical metamaterial; Energy absorption; Topology optimization; Buckling
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Funding
- National Natural Science Foundation of China [U1501247, U1609206]
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A novel design concept for buckling-induced mechanical metamaterials for energy absorption is presented. The force-displacement curves of the mechanical metamaterials are analyzed according to the curves of their unit cells, and the energy-absorbing characteristics of mechanical metamaterials are evaluated. Two topology optimization models are proposed. One maximizes the buckling-induced dissipated energy to facilitate the design of metamaterials with high energy absorption and low elastic strain energy. The other maximizes the dissipated energy with a constraint that the mechanical metamaterials should be self-recoverable. An energy interpolation scheme is employed to avoid numerical instabilities in the geometric nonlinear finite element analysis. A two-phase algorithm is proposed to find the optimized result from a uniform initial guess, and sensitivity analysis is performed. The optimized design has a larger amount of buckling-induced dissipated energy than the previously proposed structural prototypes. Moreover, the self-recoverable mechanical metamaterial is successfully designed by topology optimization.
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