TY - JOUR
T1 - Bayesian inference to identify parameters in viscoelasticity
AU - Rappel, Hussein
AU - Beex, Lars A.A.
AU - Bordas, Stéphane P.A.
PY - 2018/5/1
Y1 - 2018/5/1
N2 - 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 show how different types of experiments influence the identified parameters and their uncertainties. The standard linear solid model is the material description of interest and a relaxation test, a constant strain-rate test and a creep test are the tensile experiments focused on. The experimental data are artificially created, allowing us to make a one-to-one comparison between the input parameters and the identified parameter values. Besides dealing with the aforementioned issues, we believe that this contribution forms a comprehensible start for those interested in applying BI in viscoelasticity.
AB - 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 show how different types of experiments influence the identified parameters and their uncertainties. The standard linear solid model is the material description of interest and a relaxation test, a constant strain-rate test and a creep test are the tensile experiments focused on. The experimental data are artificially created, allowing us to make a one-to-one comparison between the input parameters and the identified parameter values. Besides dealing with the aforementioned issues, we believe that this contribution forms a comprehensible start for those interested in applying BI in viscoelasticity.
KW - Bayesian inference
KW - Bayes’ theorem
KW - Parameter identification
KW - Statistical identification
KW - Viscoelasticity
UR - http://www.scopus.com/inward/record.url?scp=85027163373&partnerID=8YFLogxK
U2 - 10.1007/s11043-017-9361-0
DO - 10.1007/s11043-017-9361-0
M3 - Article
AN - SCOPUS:85027163373
SN - 1385-2000
VL - 22
SP - 221
EP - 258
JO - Mechanics of Time-Dependent Materials
JF - Mechanics of Time-Dependent Materials
IS - 2
ER -