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Modeling Deformations of Active Rods, Ribbons, and Plates


Korner, Kevin Andreas (2023) Modeling Deformations of Active Rods, Ribbons, and Plates. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/2zb0-m166.


Slender structures are mechanical components which have at least one spatial dimension much smaller than another. Some canonical examples are beams, rods, ribbons, plates, and shells. Although these systems have been studied for many centuries, the focus of development has generally been limited to small strains and the onset of buckling modes. Outside of this regime, both geometric and material non-linearities contribute significant complexity to the analytical and computational techniques which can be applied to these problems. Despite this, large deformations demonstrate tremendous potential in engineering applications, particularly with soft materials. This thesis examines various methods of modeling slender structures. We focus on large strain behaviors, often accentuated by spontaneous strains generated with active materials. These systems demonstrate a wide range of interesting and useful behaviors, such as bifurcations, snap-through, and cyclic deformations.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Structures, Liquid Crystal Elastomers, Snap-through, Active Materials, Discrete Elastic Rods, Bifurcations, Sheets, Photo-mechanical, Azobenzene
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Mechanical Engineering
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Bhattacharya, Kaushik
Thesis Committee:
  • Lapusta, Nadia (chair)
  • Fu, Xiaojing
  • Ortiz, Michael
  • Bhattacharya, Kaushik
Defense Date:8 July 2022
Funding AgencyGrant Number
Office of Naval Research (ONR)ONR N00014-18-1-2624
NSF Graduate Research FellowshipDGE-1745301
Record Number:CaltechTHESIS:07202022-212008345
Persistent URL:
Related URLs:
URLURL TypeDescription adapted for Chapter 4 adapted for Chapter 3
Korner, Kevin Andreas0000-0002-2967-9657
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:14984
Deposited By: Kevin Korner
Deposited On:26 Jul 2022 19:05
Last Modified:28 Apr 2023 20:05

Thesis Files

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