Uncertainty Quantification of Stochastic Defects in Materials

Uncertainty Quantification of Stochastic Defects in Materials

Chu, Liu

Taylor & Francis Ltd

05/2024

196

Mole

9781032128757

Pré-lançamento - envio 15 a 20 dias após a sua edição

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1. Overview. 2. Stochastic Defects. Part I: Methods and Theories. 3. Monte Carlo Methods. 4. Polynomial Chaos Expansion. 5. Stochastic Finite Element Method. 6. Machine Learning Methods. Part II: Examples. 7. Numerical Examples. 8. Monte Carlo-based Finite Element Method. 9. Impacts of Vacancy Defects in Resonant Vibration. 10. Uncertainty Quantification in Nanomaterial. 11. Equivalent Young's Modulus Prediction. 12. Strengthen Possibility by Random Vacancy Defects.
Stochastic Defects;materials characterization;Graphene Sheets;computational materials science;Kriging Surrogate Model;finite element method;Probability Density Distribution;materials defects;Zigzag Edges;microstructure defect;Equivalent Young's Modulus;material properties;Stochastic Finite Element Method;Pristine Graphene;Armchair Edge;Energy Density;Natural Frequencies;Finite Element Model;Kl Expansion;Modified Couple Stress Theory;Kriging Model;Modified Morse Potential;Restricted Boltzmann Machine;MC;Importance Sampling;ANSYS Parameter Design Language;Uniaxial Tension;Subset Simulation;Total Strain;Prediction Results;Cumulative Distribution Function