Mechanical and Chemical Effects in Adhesion of Thin Shell Structures with Applications in Wafer Bonding and Adhesion of Living Cells

Loading...
Thumbnail Image
Degree type
Doctor of Philosophy (PhD)
Graduate group
Mechanical Engineering & Applied Mechanics
Discipline
Subject
adhesion
shell theory
contact
mechanics
wafer
cell
Applied Mechanics
Biomechanical Engineering
Biophysics
Molecular, Cellular, and Tissue Engineering
Numerical Analysis and Computation
Other Biochemistry, Biophysics, and Structural Biology
Structural Biology
Tribology
Funder
Grant number
License
Copyright date
Distributor
Related resources
Contributor
Abstract

A theoretical model is analyzed to investigate the adhesion of thin shell structures to both rigid and deformable substrates under a variety of surface conditions. The thermodynamic forces driving the adhesive process are determined from an interfacial free energy, which is described within a classical thermodynamics framework. Deformations of the thin, elastic shells are studied using a geometrically nonlinear shell theory. Finite-range adhesive tractions, chemical segregation, substrate compliance, and substrate topography all are considered over a wide range of geometric and material parameters. Equilibrium adhesion states are characterized by a shell flatness parameter, the contact radius, and the adhesive and elastic energies. The nonlinear, coupled differential equations governing mechanical and chemical equilibrium are studied using finite differences and numerical continuation methods. The analysis has applications in wafer bonding and the adhesion of living cells.

Advisor
John L. Bassani
Date of degree
2009-08-01
Date Range for Data Collection (Start Date)
Date Range for Data Collection (End Date)
Digital Object Identifier
Series name and number
Volume number
Issue number
Publisher
Publisher DOI
Journal Issue
Comments
Recommended citation