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Engineering Science and Materials Commons

Open Access. Powered by Scholars. Published by Universities.®

2015

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Articles 211 - 214 of 214

Full-Text Articles in Engineering Science and Materials

Step Growth And Meandering In A Precursor-Mediated Epitaxy With Anisotropic Attachment Kinetics And Terrace Diffusion, Mikhail Khenner Dec 2014

Step Growth And Meandering In A Precursor-Mediated Epitaxy With Anisotropic Attachment Kinetics And Terrace Diffusion, Mikhail Khenner

Mikhail Khenner

Step meandering instability in a Burton-Cabrera-Frank (BCF)-type model for the growth of an isolated, atomically high step on a crystal surface is analyzed. It is assumed that the growth is sustained by the molecular precursors deposition on a terrace and their decomposition into atomic constituents; both processes are explicitly modeled. A strongly nonlinear evolution PDE for the shape of the step is derived in the long-wave limit and without assuming smallness of the amplitude; this equation may be transformed into a convective Cahn-Hilliard-type PDE for the step slope. Meandering is studied as a function of the precursors diffusivity and ...


Electromigration-Driven Evolution Of The Surface Morphology And Composition For A Bi-Component Solid Film, Mikhail Khenner, Mahdi Bandegi Dec 2014

Electromigration-Driven Evolution Of The Surface Morphology And Composition For A Bi-Component Solid Film, Mikhail Khenner, Mahdi Bandegi

Mikhail Khenner

A two PDEs-based model is developed for studies of a morphological and compositional evolution of a thermodynamically stable alloy surface in a strong electric field, assuming different and anisotropic diffusional mobilities of the two atomic components. The linear stability analysis of a planar surface and the computations of morphology coarsening are performed. It is shown that the conditions for instability and the characteristic wavelength and growth rate differ from their counterparts in a single-component film. Computational parametric analyses reveal the sensitivity of the scaling exponents to the electric field strength and to the magnitude of anisotropies difference.


Zespół Energii Odnawialnej I Zrównoważonego Rozwoju (Eozr), Wojciech M. Budzianowski Dec 2014

Zespół Energii Odnawialnej I Zrównoważonego Rozwoju (Eozr), Wojciech M. Budzianowski

Wojciech Budzianowski

No abstract provided.


Further Stabilization And Exact Observability Results For Voltage-Actuated Piezoelectric Beams With Magnetic Effects, Ahmet Ozkan Ozer Dec 2014

Further Stabilization And Exact Observability Results For Voltage-Actuated Piezoelectric Beams With Magnetic Effects, Ahmet Ozkan Ozer

Ahmet Ozkan Ozer

It is well known that magnetic energy of the piezoelectric beam is relatively small, and it does not change the overall dynamics. Therefore, the models, relying on electrostatic or quasi-static approaches, completely ignore the magnetic energy stored/produced in the beam. A single piezoelectric beam model without the magnetic effects is known to be exactly observable and exponentially stabilizable in the energy space. However, the model with the magnetic effects is proved to be not exactly observable/exponentially stabilizable in the energy space for almost all choices of material parameters. Moreover, even strong stability is not achievable for many values ...