Sensitivity and uncertainty analysis for flexoelectric nanostructures

Khader M. Hamdia, Hamid Ghasemi, Xiaoying Zhuang, Naif Alajlan, Timon Rabczuk

Research output: Contribution to journalArticlepeer-review

180 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)95-109
Number of pages15
JournalComputer Methods in Applied Mechanics and Engineering
Publication statusPublished - 2018 Aug 1

Bibliographical note

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 2018 Elsevier B.V., All rights reserved.


  • Flexoelectricity
  • Isogeometric analysis (IGA)
  • Piezoelectricity
  • Sensitivity analysis

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • General Physics and Astronomy
  • Computer Science Applications


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