A methodology for using Kalman filter to determine material parameters from uncertain measurements. (June 2015)

• Record Type: Journal Article
• Authors: Shokry, Abdallah; Ståhle, Per
• Is Part Of: Materials discovery. Volume 2(2015)
• Page Start: 1
• Page End: 15
• Publication Date: 2015-06
• Subjects: Least-squares -- Kalman filter -- Material parameters -- Diffusion in bone -- Viscoplastic parameters -- Uncertain measurements; Materials -- Periodicals; Materials; Electronic journals; Periodicals; 677.4
• DOI: 10.1016/j.md.2016.03.002
• Languages: English
• ISSNs: 2352-9245

Abstract

Abstract : Graphical abstract: 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.