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A methodology for using Kalman filter to determine material parameters from uncertain measurements

Shokry, Abdallah LU and Ståhle, Per LU (2015) In Materials Discovery 2. p.1-15
Abstract

A Kalman filter can be used to determine material parameters using uncertain experimental data. However, starting with inappropriate initial values for material parameters might cause false local attractors or even divergence. Also, inappropriate choices of covariance errors of the state and the measurements might affect the stability of the prediction. The present method suggests a simple way to predict the parameters and the errors required to start the Kalman filter based on known parameters and generated data with different noises used as “measurement data”. Diffusion coefficients for bovine bone and viscoplastic steel parameters are chosen as case studies in this work.

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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Diffusion in bone, Kalman filter, Least-squares, Material parameters, Uncertain measurements, Viscoplastic parameters
in
Materials Discovery
volume
2
pages
15 pages
publisher
Elsevier
external identifiers
  • scopus:85037605140
ISSN
2352-9245
DOI
10.1016/j.md.2016.03.002
language
English
LU publication?
yes
id
a5169ba1-cbf4-4f28-8154-d677e4efb858
date added to LUP
2019-11-30 00:36:25
date last changed
2022-04-18 19:22:52
@article{a5169ba1-cbf4-4f28-8154-d677e4efb858,
  abstract     = {{<p>A Kalman filter can be used to determine material parameters using uncertain experimental data. However, starting with inappropriate initial values for material parameters might cause false local attractors or even divergence. Also, inappropriate choices of covariance errors of the state and the measurements might affect the stability of the prediction. The present method suggests a simple way to predict the parameters and the errors required to start the Kalman filter based on known parameters and generated data with different noises used as “measurement data”. Diffusion coefficients for bovine bone and viscoplastic steel parameters are chosen as case studies in this work.</p>}},
  author       = {{Shokry, Abdallah and Ståhle, Per}},
  issn         = {{2352-9245}},
  keywords     = {{Diffusion in bone; Kalman filter; Least-squares; Material parameters; Uncertain measurements; Viscoplastic parameters}},
  language     = {{eng}},
  month        = {{01}},
  pages        = {{1--15}},
  publisher    = {{Elsevier}},
  series       = {{Materials Discovery}},
  title        = {{A methodology for using Kalman filter to determine material parameters from uncertain measurements}},
  url          = {{http://dx.doi.org/10.1016/j.md.2016.03.002}},
  doi          = {{10.1016/j.md.2016.03.002}},
  volume       = {{2}},
  year         = {{2015}},
}