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A computational framework for dynamic data‐driven material damage control, based on Bayesian inference and model selection
Author(s) -
Prudencio E. E.,
Bauman P. T.,
Faghihi D.,
RaviChandar K.,
Oden J. T.
Publication year - 2014
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.4669
Subject(s) - bayesian probability , bayesian inference , computer science , calibration , model selection , kalman filter , inference , dynamic data , uncertainty quantification , experimental data , data mining , selection (genetic algorithm) , machine learning , artificial intelligence , mathematics , statistics , programming language
Summary In the present study, a general dynamic data‐driven application system (DDDAS) is developed for real‐time monitoring of damage in composite materials using methods and models that account for uncertainty in experimental data, model parameters, and in the selection of the model itself. The methodology involves (i) data data from uniaxial tensile experiments conducted on a composite material; (ii) continuum damage mechanics based material constitutive models; (iii) a Bayesian framework for uncertainty quantification, calibration, validation, and selection of models; and (iv) general Bayesian filtering, as well as Kalman and extended Kalman filters. A software infrastructure is developed and implemented in order to integrate the various parts of the DDDAS. The outcomes of computational analyses using the experimental data prove the feasibility of the Bayesian‐based methods for model calibration, validation, and selection. Moreover, using such DDDAS infrastructure for real‐time monitoring of the damage and degradation in materials results in results in an improved prediction of failure in the system. Copyright © 2014 John Wiley & Sons, Ltd.