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A Finite Element Study of Piezoelectric Thin Films on Substrates   ,[object Object],[object Object]
OUTLINE OF PRESENTATION ,[object Object],[object Object],[object Object],[object Object]
BACKGROUND ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
BACKGROUND ,[object Object],[object Object],[object Object],[object Object]
BACKGROUND ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
BACKGROUND ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
BACKGROUND ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Effect of island periodicity has not been studied
BACKGROUND ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
BACKGROUND ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Description of the periodic structure MODELING PRELIMINARIES
MODELING PRELIMINARIES ,[object Object],[object Object],[object Object],[object Object]
MODELING PRELIMINARIES ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
MODELING PRELIMINARIES 1.  Z. Bo, "Constitutive Modeling of Shape Memory Alloys", Doctoral Dissertation, Texas A&M University. (1996).  Mechanical boundary conditions
MODELING PRELIMINARIES Electrical boundary conditions
MODELING PRELIMINARIES ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
MODELING PRELIMINARIES ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
MODELING PRELIMINARIES ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
MODELING PRELIMINARIES ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],0.232 0.166 Poisson’s ratio  189.7 310.5 Young’s modulus Y (GPa) STO MgO
MODELING PRELIMINARIES ,[object Object],[object Object],[object Object],[object Object]
TASKS ,[object Object],[object Object],[object Object],[object Object],[object Object]
A computational analysis of the interactions of geometric  periodicity and lattice mismatch on the electromechanical  response of piezoelectric thin films ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
TASK B ,[object Object]
TASK B Optimization of the mesh
TASK B Internal stress
TASK B Normalized displacement
A comparative numerical study of piezoelectric materials  with tetragonal and hexagonal transversely isotropic  symmetry on isotropic substrates ,[object Object]
TASK C ,[object Object],[object Object],[object Object]
TASK C Other effects on “effective” piezoelectric coefficient
Piezoelectric response and internal stress of periodic  bi-island piezoelectric thin films on substrates ,[object Object]
TASK D Stiffness ratio effect
TASK D Internal stress
TASK D Effects of different stiffness on internal stress
Ferroelectricity ,[object Object],[object Object],[object Object],[object Object],[object Object]
LIST OF PUBLICATIONS ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object]

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