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Evaluation of a simple UQ approach to compensate for sparse stress-strain curve data in solid mechanics applications

19th AIAA Non-Deterministic Approaches Conference, 2017

Romero, Vicente J.; Dempsey, James F.; Schroeder, Benjamin B.; Lewis, John R.; Breivik, Nicole L.; Orient, George E.; Antoun, Bonnie R.; Winokur, Justin W.; Glickman, Matthew R.; Red-Horse, John R.

This paper examines the variability of predicted responses when multiple stress-strain curves (reflecting variability from replicate material tests) are propagated through a transient dynamics finite element model of a ductile steel can being slowly crushed. An elastic-plastic constitutive model is employed in the large-deformation simulations. Over 70 response quantities of interest (including displacements, stresses, strains, and calculated measures of material damage) are tracked in the simulations. Each response quantity’s behavior varies according to the particular stress-strain curves used for the materials in the model. The present work assigns the same material to all the can parts: lids, walls, and weld. We desire to estimate response variability due to variability of the input material curves. When only a few stress-strain curve samples are available from material testing, response variance will usually be significantly underestimated. This is undesirable for many engineering purposes. A simple classical statistical method, Tolerance Intervals, is tested for effectively compensating for sparse stress-strain curve data. The method is found to perform well on the highly nonlinear input-to-output response mappings and non-standard response distributions in the can-crush problem. The results and discussion in this paper, and further studies referenced, support a proposition that the method will apply similarly well for other sparsely sampled random functions.

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Can-crush model and simulations for verifying uncertainty quantification method for sparse stress-strain curve data

ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)

Dempsey, James F.; Romero, Vicente J.; Breivik, Nicole L.; Orient, George E.; Antoun, Bonnie R.; Schroeder, Benjamin B.; Winokur, Justin W.

This work examines the variability of predicted responses when multiple stress-strain curves (reflecting variability from replicate material tests) are propagated through a transient dynamics finite element model of a ductile steel can being slowly crushed. An elastic-plastic constitutive model is employed in the large-deformation simulations. The present work assigns the same material to all the can parts: lids, walls, and weld. Time histories of 18 response quantities of interest (including displacements, stresses, strains, and calculated measures of material damage) at several locations on the can and various points in time are monitored in the simulations. Each response quantity's behavior varies according to the particular stressstrain curves used for the materials in the model. We estimate response variability due to variability of the input material curves. When only a few stress-strain curves are available from material testing, response variance will usually be significantly underestimated. This is undesirable for many engineering purposes. This paper describes the can-crush model and simulations used to evaluate a simple classical statistical method, Tolerance Intervals (TIs), for effectively compensating for sparse stress-strain curve data in the can-crush problem. Using the simulation results presented here, the accuracy and reliability of the TI method are being evaluated on the highly nonlinear inputto- output response mappings and non-standard response distributions in the can-crush UQ problem.

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Introduction: The 2014 Sandia Verification and Validation Challenge Workshop

Journal of Verification, Validation and Uncertainty Quantification

Hu, Kenneth H.; Carnes, Brian C.; Orient, George E.

The 2014 Sandia Verification & Validation Challenge Workshop was held at the 3rd ASME Verification & Validation Symposium in Las Vegas, on May 5-8, 2014. The workshop was built around a challenge problem, formulated as an engineering investigation that required integration of experimental data, modeling and simulation, and verification and validation. The challenge problem served as a common basis for the ASME Journal of Verification, Validation, and Uncertainty Quantification participants to both demonstrate methodology and explore a critical aspect of the field: the role of verification and validation in establishing credibility and supporting decision making. Ten groups presented responses to the challenge problem at the workshop, and the follow-on efforts are documented in this special edition of the ASME Journal of Verification, Validation, and Uncertainty Quantification.

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The 2014 Sandia Verification and Validation Challenge: Problem Statement

Journal of Verification, Validation and Uncertainty Quantification

Hu, Kenneth H.; Orient, George E.

This paper describes the challenge problem associated with the 2014 Sandia Verification and Validation (V&V) Challenge Workshop. The problem was developed to highlight core issues in V&V of engineering models. It is intended as an analog to projects currently underway at the Sandia National Laboratories—in other words, a realistic case study in applying V&V methods and integrating information from experimental data and simulations to support decisions. The problem statement includes the data, model, and directions for participants in the challenge. In addition, the workings of the provided code and the “truth model” used to create the data are revealed. The code, data, and truth model are available in this paper.

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An evaluation of the Johnson-Cook model to simulate puncture of 7075 aluminum plates

Corona, Edmundo C.; Orient, George E.

The objective of this project was to evaluate the use of the Johnson-Cook strength and failure models in an adiabatic finite element model to simulate the puncture of 7075- T651 aluminum plates that were studied as part of an ASC L2 milestone by Corona et al (2012). The Johnson-Cook model parameters were determined from material test data. The results show a marked improvement, in particular in the calculated threshold velocity between no puncture and puncture, over those obtained in 2012. The threshold velocity calculated using a baseline model is just 4% higher than the mean value determined from experiment, in contrast to 60% in the 2012 predictions. Sensitivity studies showed that the threshold velocity predictions were improved by calibrating the relations between the equivalent plastic strain at failure and stress triaxiality, strain rate and temperature, as well as by the inclusion of adiabatic heating.

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Results 26–47 of 47
Results 26–47 of 47