|M.Sc Student||Tenenbaum Elad|
|Subject||Mechanical Aspects of the Behavior of Heterogeneous|
|Department||Department of Mechanical Engineering||Supervisor||Professor Josef Givli|
|Full Thesis text|
Biological (lipid) membranes are fundamental building blocks of the physics of life - all cells and some cellular organelles are enveloped by a biological membrane. A key to the diverse functionality of the Biological membrane is the coupling between mechanics and biochemical events and the rich phenomena that this coupling creates. Importantly, biological membranes are dynamic structures in the sense that their molecular arrangement can change with conditions. The core research mission is to build a theoretical framework for quantitative exploration of the phase separation the membrane exhibits. We take the view of the membrane as a "smart material", and also examine it from the perspective of an engineering design tool for the purpose of structural optimization. In this work we will present a simple model of a statically indeterminate beam subjected to external load and made from a biological membrane-like material. The goal is to gain insights regarding the behavior of the membrane in an engineering setting. In particular we investigate the effect of heterogeneity and disparity of mechanical characteristics on the beam's morphology and displacements. Finally, we demonstrate how the membrane can be conceptually used for structural design optimization.