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ASME VVUQ 10 2 2021

$98.04

ASME VVUQ 10.2-2021 – The Role of Uncertainty Quantification in Verification and Validation of Computational Solid Mechanics Models

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ASME 2021
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The purpose of this Standard is to expand upon the important role of uncertainty quantification (UQ) in verification, validation, and uncertainty quantification (VVUQ).

PDF Catalog

PDF Pages PDF Title
4 CONTENTS
5 Foreword
6 ASME VVUQ COMMITTEE ROSTER
7 CORRESPONDENCE WITH THE VVUQ COMMITTEE
9 INTRODUCTION
10 1 PURPOSE AND SCOPE
1.1 Purpose and Motivation
1.2 Objectives and Scope
2 BACKGROUND AND DEFINITIONS
2.1 Mathematical Models
11 Figures
Figure 1.1-1 Verification, Validation, and Uncertainty Quantification Process
12 2.2 Variables and Parameters
Figure 2.2-1 Illustration of a Tapered Cantilever Beam
13 2.3 Errors and Uncertainties
14 2.4 Aleatory and Epistemic Uncertainties
Table
Table 2.3-1 Examples of Sources of Error and Uncertainty
15 2.5 Deterministic and Nondeterministic Quantities
2.6 Probabilistic and Nonprobabilistic Methods
16 2.7 Sensitivity Analysis
Figure 2.6-1 Illustration of Aleatory and Epistemic Uncertainty
17 2.8 Residual Errors and Residual Uncertainty
18 3 UNCERTAINTY QUANTIFICATION IN MODELING AND SIMULATION
Figure 2.8-1 Variation of Standard Residual Error With Number of Input Variables Included in Empirical Model Formulation
19 3.1 Sources of Uncertainty in Modeling
3.1.1 Uncertainties in Model Form.
20 3.1.2 Uncertainties in Model Inputs.
3.1.3 Uncertainties in Numerical Solutions.
21 Figure 3.1.2-1 Defining a Random Variable Using Data
22 3.1.4 Uncertainties in Model-Basis Data.
3.2 Uncertainty Propagation
Figure 3.2-1 Illustration of the Uncertainty Propagation Process
23 4 UNCERTAINTY QUANTIFICATION IN VALIDATION EXPERIMENTS
4.1 Characteristics of Validation Experiments
24 4.2 Uncertainty Quantification in Validation Experiments
25 5 UNCERTAINTY QUANTIFICATION IN MODEL VALIDATION ASSESSMENT
5.1 Validation Requirements
5.2 Validation Metrics and Assessment
26 Figure 5.2.1-1 Extension of the Mean Metric: The Difference Between Ymod and Yexp
27 Figure 5.2.2-1 Illustration of the Area Metric
28 Figure 5.2.3-1 PDF and CDF of the Error Metric
29 6 UNCERTAINTY QUANTIFICATION IN REVISIONS TO MODEL AND EXPERIMENT
30 7 UNCERTAINTIES IN HIERARCHICAL MODELS
31 8 REFERENCES
Figure 7-1 Illustration of a Model Hierarchy
ASME VVUQ 10 2 2021
$98.04