Active subspace uncertainty quantification for a polydomain ferroelectric phase-field model

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

doi:10.1117/12.2297207

22 March 2018 Active subspace uncertainty quantification for a polydomain ferroelectric phase-field model

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

Proceedings Volume 10596, Behavior and Mechanics of Multifunctional Materials and Composites XII; 105960T (2018) https://doi.org/10.1117/12.2297207
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2018, Denver, Colorado, United States

Abstract

Quantum-informed ferroelectric phase field models capable of predicting material behavior, are necessary for facilitating the development and production of many adaptive structures and intelligent systems. Uncertainty is present in these models, given the quantum scale at which calculations take place. A necessary analysis is to determine how the uncertainty in the response can be attributed to the uncertainty in the model inputs or parameters. A second analysis is to identify active subspaces within the original parameter space, which quantify directions in which the model response varies most dominantly, thus reducing sampling effort and computational cost. In this investigation, we identify an active subspace for a poly-domain ferroelectric phase-field model. Using the active variables as our independent variables, we then construct a surrogate model and perform Bayesian inference. Once we quantify the uncertainties in the active variables, we obtain uncertainties for the original parameters via an inverse mapping. The analysis provides insight into how active subspace methodologies can be used to reduce computational power needed to perform Bayesian inference on model parameters informed by experimental or simulated data.

Conference Presentation

Citation Download Citation

Lider S. Leon, Ralph C. Smith, Paul Miles, and William S. Oates "Active subspace uncertainty quantification for a polydomain ferroelectric phase-field model", Proc. SPIE 10596, Behavior and Mechanics of Multifunctional Materials and Composites XII, 105960T (22 March 2018); https://doi.org/10.1117/12.2297207

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