# A Comparative Analysis of 3D Software for Modeling Fatigue Crack Growth: A Review
## 2 Software
### Analytical-Based Approaches
\begin{table}
\begin{tabular}{c c c c c c} \hline \hline  & **Software** & & **Fatigue Modeling Approaches** & & **Crack Growth Method** & & **Mesh Type** \\ \hline \multirow{4}{*}{1.} & & 1. & Stress-Life (S-N) Approach & 1. & Cohesive Elements & \\  & & 2. & Strain-Life Approach & 2. & Extended Finite Element Method (XFEM) & \\  & & 3. & Critical Plane Analysis & 3. & Virtual Crack Closure Technique (VCCT) & \\  & & 4. & Damage Accumulation & 4. & Cohesive Zone Modeling (CZM) & \(\bullet\) & Tetrahedral \\  & & 5. & Load Histories & 5. & Fracture Mechanics Criteria & \\  & & 6. & Crack Growth Analysis & 6. & Element Deletion Technique & \\ \hline \multirow{4}{*}{2.} & & 1. & Stress-Life (S-N) Approach & 1. & Extended Finite Element Method (XFEM) & \\  & & 2. & Strain-Life Approach & 2. & Virtual Crack Closure Technique (VCCT) & \\  & & 3. & Linear Elastic Fracture Mechanics (LEFM) & 3. & Irwin’s Integral & \\  & & 4. & Paris’s Law & 4. & Crack Tip Opening Displacement (CTOD) & Unstructured (Tetrahedra) \\  & & 5. & Critical Plane Analysis & 5. & Paris Law & \\  & & 6. & Damage Accumulation Models & 6. & Crack Front Discretization & \\ \hline \multirow{4}{*}{3.} & & 1. & Fatigue Crack Growth & 1. & Stress Intensity Factors & \\  & & 2. & Time-Dependent Crack Growth & 2. & Energy Release Rate & Unstructured (Triangles or Tetrahedra) \\  & & 3. & Combined Fatigue and Time-Dependent & 3. & J\(\mu\)Integral & \\  & & Crack Growth & 3. & J\(\mu\)Integral & \\ \hline \multirow{4}{*}{4.} & & 1. & Nominal-Stress Method & 1. & Crack Growth Equation & \\  & & 2. & Local Stress-Strain Method & 2. & Virtual Crack Closure Technique (VCCT) & \\  & & 3. & Hybrid Deep Learning Approach & 3. & Extended Finite Element Method with & \\  & & 4. & Models Based on Crack Nucleation & & Phantom Nodes (XFEM-PN) & \\ \hline \multirow{4}{*}{5.} & & 1. & Stress-Life (S-N) Approach & 1. & Paris’s Law & \\  & & 2. & Nominal-Stress Method & 2. & Modified Wheeler Model & \\  & & 3. & Unit-Load-Based Approach & 3. & Crack Opening Displacement (COD) & \\  & & 4. & Strain-Life Approach & Method & \\  & & 5. & Critical Plane Analysis & 4. & Element Deletion Technique & \\  & & 6. & Damage Accumulation Models & 5. & Cohesive Zone Modeling (CZM) & \\ \hline \multirow{4}{*}{6.} & & 1. & Stress-Life Approach & 1. & Virtual Crack Closure Technique (VCCT) & \\  & & 2. & Strain-Life Approach & 2. & Extended Finite Element Method (QFEM) & \\  & & 3. & Energy-Based Results & 3. & Cohesive Zone Modeling (CZM) & \(\bullet\) & Structured (Mapped and Swept) \\  & & 3. & Cumulative Damage Assessment & 4. & Fracture Mechanics Criteria & \\  & & 5. & Vibration Fatigue & 5. & Phase Field Method & \\ \hline \multirow{4}{*}{7.} & & 1. & Stress-Life Approach & \\  & & 2. & Strain-Life Approach & 1. & Paris’s Law & \\  & & 3. & Virtual Crack Closure Technique (VCCT) & 2. & J\(\mu\)Integral & Unstructured (Tetrahedral) \\  & & 4. & Cohesive Zone Method (CZM) & 3. & Critical Stress-Intensity factor & \\  & & 5. & Extended Finite Element Method (XFEM) & \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Comparison of the fatigue modeling approaches, crack growth methods, and mesh type for all software. According to the available literature, Table 3 presents a compilation of real-life applications for each of the mentioned software, providing insights into their practical uses across various industries and engineering disciplines. This table outlines specific application areas and highlights the diverse range of fields where these software solutions have been employed successfully. \begin{table}
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