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From microscopic models of damage accumulation to the probability of failure of gas turbines / by: Nadine Moch. Wuppertal, [2018]
Inhalt
Introduction
Motivation and Objectives
Material Structure and Mechanical Behaviour of Polycrystalline Metal
Crystal Structures and Material Characteristics
Elastic and Plastic Behaviour of Polycrystalline Metal
Deformation
Types of Displacements and Yield Criteria
Stress-Strain-Relation and Yield Criteria
Von Mises Yield Criterion
Schmid Factors and Modified Yield Criteria
Fatigue
Types of Resistance and Fatigue Testing
Experimental Data
Schmid factors
Damage Accumulation
Rainflow Counting - General and Slip System Based Approach
Slip System Based Rainflow Counting
Mathematical Basics
Stochastical Fundamentals and Haar Measure
Recurrence Relations
Grain Orientation and Probabilistic Schmid Factors
Random Grain Orientation and Probabilistic Schmid Factors
Probabilistic Schmid Factors
Anisotropic Elasticity
Probabilistic Schmid Factor
Probabilistic LCF Life for Single Grains
Single Grain Life for fcc Crystals
Crack Propagation and Grain Morphology
Modified Percolation Models
Recurrence Relation of Crack Probability
Approach for Circuit Structures
Voronoi Polycrystal Model
Fitting to Experimental LCF Lifetime Data
Finite Elements Discretization and Transfer to Component
Example: Application to a Blisk-Geometry
Probabilistic Damage Accumulation and Rainflow Counting
Conclusion and Outlook
Bibliography
Appendix
Further Definitions