Non-auxetic Lattice Materials

Lattice Properties & Bloch-wave Homogenization

Manipulating waves through elastic media has potential applications in cloaking, mode conversion, wave bending, and filtering, etc. The wave characteristics such as velocity, polarization, bandgaps, and directionality directly depend upon the effective mechanical properties of the periodic lattice materials. In this project, we aim to understand how geometric parameters affect the quasi-static and wave propagation characteristics of the materials. Here, we use the Bloch-wave homogenization approach to evaluate the effective static properties of the 3D periodic lattices: cubic, octet, Kelvin, and bowtie. This approach lays the foundation for the nondestructive evaluation of the properties of the metamaterial using ultrasonic velocity measurements. Read more about the project here.


  • G. U. Patil, K. H. Matlack, Effective property evaluation and analysis of three-dimensional periodic lattices and composites through Bloch-wave homogenization. The Journal of the Acoustical Society of America, vol. 145, 1259–1269 (2019)
  • I. Arretche, G. U. Patil, K.H. Matlack, Effects of geometry and mass distribution in 3D printed metastructures for vibration mitigation. The Journal of the Acoustical Society of America, vol. 145, 1760 (2019)