skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Discrete-Direct Model Calibration and Uncertainty Propagation Method Confirmed on Multi-Parameter Plasticity Model Calibrated to Sparse Random Field Data

Journal Article · · ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems. Part B. Mechanical Engineering
DOI:https://doi.org/10.1115/1.4050371· OSTI ID:1781535

A discrete direct (DD) model calibration and uncertainty propagation approach is explained and demonstrated on a 4-parameter Johnson-Cook (J-C) strain-rate dependent material strength model for an aluminum alloy. The methodology's performance is characterized in many trials involving four random realizations of strain-rate dependent material-test data curves per trial, drawn from a large synthetic population. The J-C model is calibrated to particular combinations of the data curves to obtain calibration parameter sets which are then propagated to “Can Crush” structural model predictions to produce samples of predicted response variability. These are processed with appropriate sparse-sample uncertainty quantification (UQ) methods to estimate various statistics of response with an appropriate level of conservatism. This is tested on 16 output quantities (von Mises stresses and equivalent plastic strains) and it is shown that important statistics of the true variabilities of the 16 quantities are bounded with a high success rate that is reasonably predictable and controllable. The DD approach has several advantages over other calibration-UQ approaches like Bayesian inference for capturing and utilizing the information obtained from typically small numbers of replicate experiments in model calibration situations—especially when sparse replicate functional data are involved like force–displacement curves from material tests. The DD methodology is straightforward and efficient for calibration and propagation problems involving aleatory and epistemic uncertainties in calibration experiments, models, and procedures.

Research Organization:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC04-94AL85000; NA0003525
OSTI ID:
1781535
Report Number(s):
SAND-2020-6586J; 686969
Journal Information:
ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems. Part B. Mechanical Engineering, Vol. 7, Issue 2; ISSN 2332-9017
Publisher:
American Society of Mechanical EngineersCopyright Statement
Country of Publication:
United States
Language:
English

References (10)

Bayesian calibration of computer models journal August 2001
Johnson Cook Material and Failure Model Parameters Estimation of AISI-1045 Medium Carbon Steel for Metal Forming Applications journal February 2019
Sparse representations and compressive sampling approaches in engineering mechanics: A review of theoretical concepts and diverse applications journal July 2020
Contributions to the Mathematical Theory of Evolution. II. Skew Variation in Homogeneous Material journal January 1895
Predicting laser weld reliability with stochastic reduced-order models: PREDICTING LASER WELD RELIABILITY
  • Emery, John M.; Field, Richard V.; Foulk, James W.
  • International Journal for Numerical Methods in Engineering, Vol. 103, Issue 12 https://doi.org/10.1002/nme.4935
journal May 2015
On the quantification and efficient propagation of imprecise probabilities resulting from small datasets journal January 2018
Improved global convergence probability using multiple independent optimizations journal January 2007
Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems journal July 2003
Hierarchical model calibration for designing piezoelectric energy harvester in the presence of variability in material properties and geometry journal August 2015
Special issue: a comprehensive study on enhanced optimization-based model calibration using gradient information journal February 2018

Similar Records

Processing Aleatory and Epistemic Uncertainties in Experimental Data From Sparse Replicate Tests of Stochastic Systems for Real-Space Model Validation
Journal Article · Thu Jun 17 00:00:00 EDT 2021 · Journal of Verification, Validation and Uncertainty Quantification · OSTI ID:1781535

UQ and V&V techniques applied to experiments and simulations of heated pipes pressurized to failure
Technical Report · Thu May 01 00:00:00 EDT 2014 · OSTI ID:1781535

Probabilistic methods for sensitivity analysis and calibration in the NASA challenge problem
Journal Article · Thu Jan 01 00:00:00 EST 2015 · Journal of Aerospace Information Systems · OSTI ID:1781535