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Finite element method (FEM) & FEA Based Fatigue Design

  • The finite element method (FEM) (sometimes referred to as finite element analysis "FEA") is a numerical technique for finding approximate solutions of partial differential equations (PDE) as well as of integral equations.
  • Various types of finite element methods
    • Generalized finite element method
    • hp-FEM
    • XFEM
    • hp-FEM
    • Spectral methods
    • Meshfree methods
    • Discontinuous Galerkin methods
  • Course Topics
    • The benefits of finite elements versus finite difference models
    • Fundamental concepts and theory of finite element modeling
    • Basic principles of mesh design, refinement and optimization
    • Buiding finite element models
    • Basic principles of boundary selection and implementation
    • Saturated flow and transport modeling
    • Density-driven saline intrusion modeling
    • Heat transport modeling
    • Unsaturated zone modeling
    • Fracture flow modeling
    • An introduction to the Interface Manager
    • Computer assisted model calibration
    • Solution Parameters:
      • Linear Static
      • Nonlinear Static
      • Normal Modes
      • Buckling
      • Complex Eigenvalue
      • Frequency Response
      • Transient Response
      • Nonlinear Transient
      • Implicit Nonlinear
  • FEA Based Fatigue Design
    • FEA Based Fatigue Design
      • The Elements of a Life Estimation System
      • An Overview of the FEA Based Fatigue Environment
    • Different Philosophies and Life Estimation Models
      • Design Philosophies
        • Safe-Life
        • Fail-Safe
        • Damage-Tolerant
        • Integrated Durability Management
      • Life Prediction Methods
        • Stress-Life (S-N, or Nominal Stress) Approach
        • Strain-Life (Crack-Initiation or Critical-Location Approach)
        • Crack Propagation Models
    • The Stress-Life (S-N) Approach
      • Defining Stress Cycles
      • The S-N Curve
      • Limits of the S-N Curve
      • The Role of Stress Concentration
      • The Influence of Mean Stress
      • Variable Amplitude Response - Block Loading and Palmgren-Miner
      • Variable Amplitude Loading - Rainflow Cycle Counting
    • Material and Component S-N Curves
      • Material S-N Curves
      • Component S-N Curves
    • FE Hints and Tips - S-N approach
      • Component S-N Curves
      • Nodal vs Element Averaging
      • Spot Welds
      • Welds
      • KT and Kf Values Within an FE Model
  • The Strain-Life (e-N) Approach
    • The Stress-Strain Curve
      • Elastic and Plastic Strain
      • Cyclic Stress-Strain Behaviour
      • Cyclic Loading Under Strain Control
      • Hysteresis Loop Shape
      • Estimating a Strain-Time History
      • Retaining Mean Stress Information
    • The Strain-Life Curve
      • The Effect of Mean Stress
      • The Morrow Mean Stress Correction
    • FE Hints and Tips - e-N Approach
      • Element vs Nodal Results
      • Weld Analysis, Component Material Curves and Composites
  • Crack Propagation Analysis Using LEFM
    • Fatigue Cracks Start
    • The Concept of Stress Intensity
    • Fatigue Crack-Propagation and LEFM
    • Stresss Intensity Factor K Versus Compliance-Function Y
    • Nominal Stress With a Compliance-Function in FE Based Crack Growth Calculations
    • FEA in Generating Compliance-Functions
    • Using Fracture Mechanics in Damage-Tolerant Design
    • Aircraft Engine Mounting Lug FE Based Fatigue Analysis
      • S-N Analysis
      • Crack Growth Prediction
    • FE Hints and Tips - Crack Growth
      • The Use of Crack Tip Elements
      • Picking a Nominal Stress
  • Multi-axial Fatigue Analysis
    • Multi-axial Stress-Strain States
      • Separate Tensile and Torsion Loading
      • Combined Tensile and Torsional Loading
    • Characterisation of Stress States
    • Proportional Multi-axial Responses
    • Equivalent Stress-Strain Approaches
    • Dealing with Non-Proportional Responses
    • FE Hints and Tips - Multi Axial Fatigue
      • 3D, 2D and 1D Models
      • Multi Modal Response to Single Input Loading
  • Vibration Fatigue Analysis
    • Alternative Descriptions of Engineering Processes
      • The Frequency Domain
      • Power Spectral Density (PSD)
    • Characterization of Engineering Processes Using Statistical Measures
      • Time Histories & PSDs
      • Expected Zeros, Peaks and Irregularity Factor
      • Moments From a PSD
      • Expected Zeros, Peaks and Irregularity Factor From a PSD
      • The Transfer Function
    • Modal Transient (Superposition) Fatigue Analysis
    • Fatigue Life Estimation From PSDs
      • Time Domain Stress-Life Fatigue Life Estimation
      • S-N Relationship
      • Estimating Fatigue Life From a Stress pdf
      • The Frequency Domain Model
      • Narrow Band Solution
      • Empirical Correction Factors (Tunna, Wirsching, Hancock, Chaudhury and Dover)
      • Dirlik's Empirical Solution for Rainflow Ranges
      • Bishop's Theoretical Solution for Rainflow Ranges
      • Clipping Ratio as a Function of rms
      • Simple Vibration Fatigue Hand Calculation
      • Time Domain By Hand
      • Frequency Domain By Hand
      • Computer Based Calculations Using MSC.Fatigue
    • FE Hints and Tips - Vibration Fatigue
      • Calculation of Frequency Response Function (Transfer Function)
      • Verifying Vibration Fatigue Results
  • FE Model Building and Post Processing Issues
    • Introduction
    • Process Issues
    • Model Building
      • Requirements
      • Observations
      • P-type element
    • Meshing
    • Dealing with Loads
    • FEA Based Global Analysis Options
      • Analysis Options
      • FE Results output type
    • FE Based Local Analysis Options
      • Absolute Maximum Principal Stress and Signed Von Mises
      • The Choice of Element Centroid Versus Nodal Results
    • Pre Processing of Loading Data
    • Post Processing of FE Based Fatigue Results
      • Accuracy of Fatigue Life Estimates
      • General Conclusions

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