Bayesian methods for characterizing unknown parameters of material models
A Bayesian framework is developed for characterizing the unknown parameters of probabilistic models for material properties. In this framework, the unknown parameters are viewed as random and described by their posterior distributions obtained from prior information and measurements of quantities of interest that are observable and depend on the unknown parameters. The proposed Bayesian method is applied to characterize an unknown spatial correlation of the conductivity field in the definition of a stochastic transport equation and to solve this equation by Monte Carlo simulation and stochastic reduced order models (SROMs). As a result, the Bayesian method is also employed to characterize unknown parameters of material properties for laser welds from measurements of peak forces sustained by these welds.
- Research Organization:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Organization:
- USDOE National Nuclear Security Administration (NNSA)
- Grant/Contract Number:
- AC04-94AL85000
- OSTI ID:
- 1635552
- Alternate ID(s):
- OSTI ID: 1237654; OSTI ID: 1425692
- Report Number(s):
- SAND-2015-3898J; S0307904X16300427; PII: S0307904X16300427
- Journal Information:
- Applied Mathematical Modelling, Journal Name: Applied Mathematical Modelling Vol. 40 Journal Issue: 13-14; ISSN 0307-904X
- Publisher:
- ElsevierCopyright Statement
- Country of Publication:
- United Kingdom
- Language:
- English
Web of Science
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