In nature, cellular materials exhibit enhanced multifunctionalities driven mainly by their
sophisticated topologies and length scales. These natural systems have inspired the …

This work reviews state of the art representative volume element (RVE) generation
techniques for heterogeneous materials. To this end, we present a systematic classification …

Mechanical metamaterials exhibit some superior mechanical properties such as ultrahigh
strength-to-weight ratio, negative bulk-modulus, negative stiffness, negative mass-density …

Mechanical metamaterials are architected manmade materials that allow for unique
behaviors not observed in nature, making them promising candidates for a wide range of …

Active mechanical metamaterials are emerging materials receiving tremendous attention in
the past decades. Additive manufacturing (AM, or 3D printing) techniques empower the …

Abstract 2D metamaterials have immense potential in acoustics, optics, and electromagnetic
applications due to their unique properties and ability to conform to curved substrates. Active …

Elastic metamaterials with local resonance bandgaps are promising for low-frequency
vibration mitigation. However, such locally resonant metamaterials inherently possess …

Emerging interest to synthesize active, engineered matter suggests a future where smart
material systems and structures operate autonomously around people, serving diverse roles …

Architected materials are materials engineered to utilize their topological aspects to
enhance the related physical and mechanical properties. With the witnessed progressive …

Topological elastic metamaterials offer insight into classic motion law and open up
opportunities in quantum and classic information processing. Theoretical modeling and …