Doctoral Dissertations


“Metamaterial systems with negative stiffness behavior became a point of interest in many energy dissipation applications due to their ability to dissipate high levels of energy. Negative stiffness metamaterial elements can dissipate energy through non-linear elastic behavior when transferred from one stable mode of buckling to another. Hence, the ability of such elements to be reusable for multiple loading cycles exists. Such unique properties made the metamaterial systems a perfect candidate for structural applications such as impact protection of bridges against collision. This research provides innovative metamaterial shell structure that can exhibit negative stiffness behavior by deforming from one shape to another. The developed metamaterial shells have the potential to be used in different infrastructure applications that requires high levels of force thresholds and energy dissipation. The metamaterial shells were manufactured using 3D printing selective laser sintering (SLS). The shells were investigated under impact and quasi-static loading. Different profiles and configurations were investigated experimentally and numerically to optimize the amount of energy dissipated as well as the force threshold of the system to be adequate for infrastructure applications. Three-dimensional finite element models (FEMs) were developed to address the instabilities occurred in the metamaterial elements and predict the force thresholds and energy dissipation levels. The FEMs were extended to investigate the effect of different parameters such as boundary condition and apex height-to- shell thickness ratio on the behavior of metamaterial elements. Results indicated that metamaterial shells can dissipate up to 70% of the input energy, achieve higher force thresholds compared to negative stiffness pre-buckled beams”--Abstract, page iv.


ElGawady, Mohamed

Committee Member(s)

Schonberg, William P.
Yan, Guirong Grace
Birman, V. (Victor)
Chandrashekhara, K.


Civil, Architectural and Environmental Engineering

Degree Name

Ph. D. in Civil Engineering


Missouri University of Science and Technology

Publication Date

Fall 2020

Journal article titles appearing in thesis/dissertation

  • Analysis of Metamaterial Bi-Stable Elements as Energy Dissipation Systems
  • Numerical and Experimental Investigation of Negative Stiffness Beams and Honeycomb Structures
  • Strain Behavior of Metallic Negative Stiffness Beams under Quasi-static Transverse Loading
  • Experimental and Finite Element Analysis of Negative Stiffness Metamaterial Shells
  • Design and Evaluation of Multilayer Metamaterial Shell Arrays
  • Impact Analysis of Negative Stiffness Metamaterial Shells


xxii, 257 pages

Note about bibliography

Includes bibliographic references.


© 2020 Yasser Mohamed Soliman Darwish, All rights reserved.

Document Type

Dissertation - Open Access

File Type




Thesis Number

T 11974