Category 1: Multiaxial Fatigue & Stress Criteria
Focuses on stress-based fatigue limits and critical plane methods when components experience complex, multi-directional stress states.
- The Crossland and Sines Multiaxial Fatigue Criteria High-cycle multiaxial stress criteria based on hydrostatic stress and shear stress amplitude.
- The Dang Van Multiaxial Fatigue Criterion A mesoscopic scale fatigue approach designed for non-proportional loading and rotating principal stress axes.
- Multiaxial Stress Critical Plane Fatigue Method Evaluating shear and normal stresses on specific planes to predict crack initiation under complex cyclic loads.
Category 2: Strain Energy Density & Fracture Mechanics
Covers energy-based fatigue frameworks that bridge shock response, vibration inputs, and material fracture resistance.
- Strain Energy Density in Fatigue & Fracture Fundamental mechanics of strain energy density (SED) as a damage indicator and crack growth parameter.
- From Velocity to Energy: A Strain Energy Density Approach to Shock and Vibration Fatigue Translating kinetic/velocity spectral inputs into local energy density for rapid vibration fatigue assessment.
Category 3: Low-Cycle & Strain-Based Fatigue
Methods tailored for high-load, short-life conditions where plastic deformation dominates.
- Low-Cycle Fatigue Strain Method Applying strain-life ($\varepsilon$-$N$) methods, Coffin-Manson relationship, and cyclic plasticity corrections.
Category 4: Random Vibration & Dynamic Stress Analysis
Statistical and frequency-domain stress calculation techniques for random loading environments.
- The Segalman-Reese Method for RMS Von Mises Stress in Random Vibration Calculating accurate equivalent RMS von Mises stress directly from multi-axis power spectral density (PSD) matrices.
📌 Summary Hub Table
| Hub Category | Focus Area | Included Articles |
| Multiaxial Fatigue | Stress-based criteria & rotating stress axes | Crossland/Sines, Dang Van, Critical Plane Method |
| Strain Energy Density | Shock/vibration energy & fracture mechanics | SED Basics, Velocity-to-Energy SED |
| Strain-Life (LCF) | Plastic deformation & low-cycle fatigue | Low-Cycle Strain Method ($\varepsilon$-$N$) |
| Random Vibration Stress | Statistical dynamic stress field evaluation | Segalman-Reese RMS Von Mises Method |