Influence of geometric parameters on 3D periodic lattice effective properties

Patil, Ganesh

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

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

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

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

Copyright and License Information

Copyright 2019 Ganesh Patil

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