Phase transformations and shape memory effects in finite length nanostructures

R. V. N. Melnik; L. X. Wang; O. I. Tsviliuk

doi:10.1117/12.841332

30 March 2010 Phase transformations and shape memory effects in finite length nanostructures

R. V. N. Melnik, L. X. Wang, O. I. Tsviliuk

Proceedings Volume 7644, Behavior and Mechanics of Multifunctional Materials and Composites 2010; 76440I (2010) https://doi.org/10.1117/12.841332
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2010, San Diego, California, United States

Abstract

We discuss a relatively simple and computationally inexpensive model that has recently been developed to study phase transformations and shape memory effects in finite nanostructures. Our major focus is given to nanowires of finite length and other nanostructures where size effects are pronounced. The main tool used here is based on mesoscopic models developed with the phase-field approach which we and other authors have applied before to study ferroelectrics at the nanoscale. We study the cubic-to-tetragonal transformations in which case the 2D analogue of the model describes the square-to-rectangle phase transformations. The actual model is based on a coupled system of partial differential equations and is solved with a combination of the Chebyshev collocation method and the extended proper orthogonal decomposition. The developed model and its numerical implementation allow us to study properties of nanostructures and several representative examples of mechanical behavior of nanostructures are discussed.

Citation Download Citation

R. V. N. Melnik, L. X. Wang, and O. I. Tsviliuk "Phase transformations and shape memory effects in finite length nanostructures", Proc. SPIE 7644, Behavior and Mechanics of Multifunctional Materials and Composites 2010, 76440I (30 March 2010); https://doi.org/10.1117/12.841332

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available