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text Matlack, Kathryn H Patil, Ganesh 2019-08-23T20:36:11Z 2019-08-23T20:36:11Z 2021-08-24T09:15:10Z 2019-04-25 2019-05 Lattice materials are generated by tessellating a unit cell, composed of a specific truss configurations, in an infinite periodicity to combine the effect of bulk material properties and geometric periodicity. They offer enhanced mechanical and dynamic properties per unit mass, and the ability to engineer the material response by optimizing the unit cell. Characterizing lattice properties through experiments can be a time consuming and costly process, so analytical and numerical methods are crucial. Specifically, the Bloch-wave homogenization approach allows one to characterize the effective static properties of the lattice unit cell while simultaneously analyzing wave propagation properties. While this analysis has been used for some time, a thorough study of this approach on 3D lattice materials with different symmetries and geometries is presented here. Using Bloch-wave homogenization, multiple periodic lattices with cubic, transversely isotropic, and tetragonal symmetry, including an auxetic geometry, over a wide range of relative densities are analyzed within a finite element framework. The effect of geometric parameters on lattice properties is discussed and a comparison between lattices based on their anisotropy index is presented. Method studied in this thesis can be extended for designing multifunctional metamaterials with optimized static and dynamic properties simultaneously. This work can also serve as the basis for nondestructive evaluation of metamaterials properties using ultrasonic velocity measurements. Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2021-05-01 The student, Ganesh Patil, accepted the attached license on 2019-04-24 at 19:00. The student, Ganesh Patil, submitted this Thesis for approval on 2019-04-24 at 19:11. This Thesis was approved for publication on 2019-04-25 at 12:03. DSpace SAF Submission Ingestion Package generated from Vireo submission #13897 on 2019-08-22 at 15:08:33 Made available in DSpace on 2019-08-23T20:36:11Z (GMT). No. of bitstreams: 2 PATIL-THESIS-2019.pdf: 3995937 bytes, checksum: 253c02515a72bc6ca31f3c9efedf6314 (MD5) LICENSE.txt: 4209 bytes, checksum: 6c4ad2393972f2d5134133cccf2e87e4 (MD5) Previous issue date: 2019-04-25 Embargo set by: Seth Robbins for item 112211 Lift date: 2021-08-23T20:36:18Z Reason: Author requested U of Illinois access only (OA after 2yrs) in Vireo ETD system U of I Only Restriction Lifted for Item 112211 on 2021-08-24T09:15:10Z. application/pdf http://hdl.handle.net/2142/105092 en Copyright 2019 Ganesh Patil Lattices Bloch-wave Universal Anisotropy Index Anomalous Polarization Effective Properties Tetragonal Symmetry Influence of geometric parameters on 3D periodic lattice effective properties text Mechanical Sci & Engineering Mechanical Engineering University of Illinois at Urbana-Champaign Thesis M.S.