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Topology optimization of multiphase architected media for exceptional energy dissipation

Recent advances in manufacturing allow fabrication of multiphase cellular materials with unprecedented topological complexity. The powerful technique of topology optimization is the perfect tool for the optimal design of such architected materials, as it allows efficient exploration of any arrangement of different phases to achieve exceptional material properties. Although stiffness optimization of lightweight cellular materials and structures made of a single constituent phase has been extensively investigated, the application of topology optimization for more complex objective functions and multiphase cellular material systems is still in its infancy. In this presentation, we will discuss the optimal design of metal/elastomer periodic cellular materials for maximum vibration damping under wave propagation, where ideal combinations of high stiffness, low density, and high loss coefficient are sought. In the suggested algorithm for multiphase microstructure (metal, elastomer and void), each domain element can be filled by a mixture of phases. Existing penalization approaches are then adopted to achieve a clear phase separation. We utilize classic homogenization theory to model the effective stiffness of the unit cell and the Bloch-Floquet approach to obtain the damping capacity of the microstructure. The damping analysis enables investigation of dispersion characteristics of the multiphase cellular medium under wave propagation. The effects of wave propagation direction and frequency, damping properties of each individual phase, and existence of void phase on the optimal design will be discussed.

Author(s):

Alireza Asadpoure    
University of California, Irvine
United States

Lorenzo Valdevit    
University of California, Irvine
United States