Global sensitivity analysis for a quantum informed ferroelectric phase field model

Lider S. Leon; Ralph C. Smith; Wiiliam S. Oates; Paul Miles

doi:10.1117/12.2259945

11 April 2017 Global sensitivity analysis for a quantum informed ferroelectric phase field model

Lider S. Leon, Ralph C. Smith, Wiiliam S. Oates, Paul Miles

Proceedings Volume 10165, Behavior and Mechanics of Multifunctional Materials and Composites 2017; 1016508 (2017) https://doi.org/10.1117/12.2259945
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2017, Portland, Oregon, United States

Abstract

We consider global sensitivity analysis (GSA) for correlated parameters in a continuum phase-field model for ferroelectric materials. The model was previously calibrated using density functional theory (DFT) simulations. For single domain ferroelectric lead titanate crystals, GSA is employed to rank the sensitivity of phenomenological parameters governing the Landau energy surface. The sensitivity analysis is based on Sobol’s variance-based decomposition in which the component functions of the high-dimensional representation (HDMR) of the model are computed analytically. For the subset of parameters that are most correlated, high-order component functions and sensitivity indices are found to be significant.

Conference Presentation

Citation Download Citation

Lider S. Leon, Ralph C. Smith, Wiiliam S. Oates, and Paul Miles "Global sensitivity analysis for a quantum informed ferroelectric phase field model", Proc. SPIE 10165, Behavior and Mechanics of Multifunctional Materials and Composites 2017, 1016508 (11 April 2017); https://doi.org/10.1117/12.2259945

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