Bayesian inference to identify parameters in viscoelasticity

• Published in: Mechanics of time-dependent materials Vol. 22; no. 2; pp. 221 - 258
• Main Authors: Rappel, Hussein, Beex, Lars A. A., Bordas, Stéphane P. A.
• Format: Journal Article Web Resource
• Language: English
• Published: Dordrecht Springer Netherlands 01.05.2018; Springer Nature B.V
• Subjects: Bayesian analysis; Bayesian inference; Bayesian networks; Bayes’ theorem; Characterization and Evaluation of Materials; Classical Mechanics; Constant strain rate tests; Creep tests; Engineering; Engineering, computing & technology; Identification (control systems); Identified parameter; Inference engines; Ingénierie mécanique; Ingénierie, informatique & technologie; Input parameter; Mechanical engineering; Parameter estimation; Parameter identification; Parameter uncertainty; Polymer Sciences; Relaxation test; Solid Mechanics; Standard linear solid models; Statistical identification; Statistical inference; Strain rate; Stress relaxation tests; Uncertainty analysis; Viscoelasticity; Viscoelasticity; Bayes’ theorem; Bayesian inference; Parameter identification; Statistical identification

This contribution discusses Bayesian inference (BI) as an approach to identify parameters in viscoelasticity. The aims are: (i) to show that the prior has a substantial influence for viscoelasticity, (ii) to show that this influence decreases for an increasing number of measurements and (iii) to sho...