University of Illinois Urbana-Champaign

Influence of geometric parameters on 3D periodic lattice effective properties

Patil, Ganesh

Content Files
PATIL-THESIS-2019.pdf

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https://hdl.handle.net/2142/105092

Description

Title
Influence of geometric parameters on 3D periodic lattice effective properties
Author(s)
Patil, Ganesh
Issue Date
2019-04-25
Director of Research (if dissertation) or Advisor (if thesis)
Matlack, Kathryn H
Department of Study
Mechanical Sci & Engineering
Discipline
Mechanical Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
M.S.
Degree Level
Thesis
Date of Ingest
2019-08-23T20:36:11Z
Keyword(s)
  • Lattices
  • Bloch-wave
  • Universal Anisotropy Index
  • Anomalous Polarization
  • Effective Properties
  • Tetragonal Symmetry
Abstract
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.
Graduation Semester
2019-05
Type of Resource
text
Permalink
http://hdl.handle.net/2142/105092
Copyright and License Information
Copyright 2019 Ganesh Patil

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