An Analytical Model for Fatigue Crack Growth: Energy Dissipation‐Based Physical Meaning of Paris Parameters and Their Stress Ratio Dependence

ABSTRACT Paris model is widely adopted as its versatility and simplicity. However, its parameters ( C R and m R ) strongly depend on both material properties and loading conditions (stress ratio R ) and typically require extensive experimental fitting. In this study, an analytical model for predicting fatigue crack growth (FCG) behaviors across various R is proposed by correlating m R with low‐cycle fatigue (LCF) properties through the crack‐tip energy dissipation mechanism and linking C R to material properties via its linear relation with m R and a characteristic point ( E√ b , b ) on the intrinsic FCG curve. Fatigue testing is conducted on Q345qD steel, and the results demonstrate good agreement between predictions and experiments, confirming the reliability of the model. Furthermore, its generality is validated using experimental data from two additional ductile metallic materials. Proposed model links R ‐dependent Paris parameters to material properties, thereby clarifying their physical meaning while providing practical value in reducing testing time and cost.