Research

Architectured Metamaterials

Auxetic Metamaterials: Materials with Negative Poisson's Ratio (NPR)

  • Auxetic metamaterials, as opposed to conventional materials, expands under uniaxial tension. We are interested in designing such metamaterial under finite strains. Our recent efforts in this direction can be found in:

Zhang, G. and Khandelwal, K. (2019). "Computational Design of Finite Strain Auxetic Metamaterials via Topology Optimization and Nonlinear Homogenization". (Preprint). arXiv

Negative Poisson's Ratio under Finite Strains

Definition of the finite-strain Poisson's ratio for a unit cell stretched at angle theta

Case (a): NPR Design at Finite Strain

Case (a): NPR Design at Finite Strain: design parameters and optimized microstructure Case (a): NPR Design at Finite Strain: animation of the deforming microstructure

Case (b): Large Stretch Ratio

Case (b): Large Stretch Ratio: design parameters and optimized microstructure Case (b): Large Stretch Ratio: animation of the deforming microstructure

Case (c): Loading at an Angle

Case (c): Loading at an Angle: design parameters and optimized microstructure Case (c): Loading at an Angle: animation of the deforming microstructure

Case (d): Multimaterial Design

Case (d): Multimaterial Design: design parameters and optimized microstructure Case (d): Multimaterial Design: animation of the deforming microstructure