TY - JOUR
T1 - Sensitivity and uncertainty analysis for flexoelectric nanostructures
AU - Hamdia, Khader M.
AU - Ghasemi, Hamid
AU - Zhuang, Xiaoying
AU - Alajlan, Naif
AU - Rabczuk, Timon
N1 - Funding Information:
The authors extend their appreciation to the Distinguished Scientist Fellowship Program (DSFP) at King Saud University for funding this work.
Publisher Copyright:
© 2018 Elsevier B.V.
Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2018/8/1
Y1 - 2018/8/1
N2 - In this paper, sensitivity analysis has been applied to identify the key input parameters influencing the energy conversion factor (ECF) of flexoelectric materials. The governing equations of flexoelectricity are modeled by a NURBS-based IGA formulation exploiting their higher order continuity and hence avoiding a complex mixed formulation. The examined input parameters include model and material properties, and the sampling has been obtained using the latin hypercube sampling (LHS) method in the probability space. The sensitivity of the model output to each of the input parameters at different aspect ratios of the beam is quantified by three various common methods, i.e. Morris One-At-a-Time (MOAT), PCE-Sobol’, and Extended Fourier amplitude sensitivity test (EFAST). The numerical results indicate that the flexoelectric constants are the most dominant factors influencing the uncertainties in the energy conversion factor, in particular the transversal flexoelectric coefficient (h12). Moreover, the model parameters also show considerable interaction effects of the material properties.
AB - In this paper, sensitivity analysis has been applied to identify the key input parameters influencing the energy conversion factor (ECF) of flexoelectric materials. The governing equations of flexoelectricity are modeled by a NURBS-based IGA formulation exploiting their higher order continuity and hence avoiding a complex mixed formulation. The examined input parameters include model and material properties, and the sampling has been obtained using the latin hypercube sampling (LHS) method in the probability space. The sensitivity of the model output to each of the input parameters at different aspect ratios of the beam is quantified by three various common methods, i.e. Morris One-At-a-Time (MOAT), PCE-Sobol’, and Extended Fourier amplitude sensitivity test (EFAST). The numerical results indicate that the flexoelectric constants are the most dominant factors influencing the uncertainties in the energy conversion factor, in particular the transversal flexoelectric coefficient (h12). Moreover, the model parameters also show considerable interaction effects of the material properties.
KW - Flexoelectricity
KW - Isogeometric analysis (IGA)
KW - Piezoelectricity
KW - Sensitivity analysis
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U2 - 10.1016/j.cma.2018.03.016
DO - 10.1016/j.cma.2018.03.016
M3 - Article
AN - SCOPUS:85045196114
SN - 0045-7825
VL - 337
SP - 95
EP - 109
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
ER -