Mixed-Mode Dynamic Stress Intensity Factors and Fracture Analysis Using Ordinary State-Based Peridynamics

Area of Science:

• Solid Mechanics
• Computational Mechanics
• Fracture Mechanics

Background:

• Accurate simulation of crack propagation and stress intensity factors is crucial for understanding material failure.
• Traditional methods face challenges in modeling complex fracture phenomena in brittle solids.

Purpose of the Study:

• To propose and validate an Ordinary State-Based Peridynamic (OSPD) approach combined with an interaction integral method.
• To calculate dynamic stress intensity factors (DSIFs) and simulate crack propagation in 2D brittle solids.
• To investigate the influence of geometric discontinuities like circular holes on fracture behavior.

Main Methods:

• Implementation of the OSPD approach with an interaction integral method for DSIF calculation.
• Incorporation of a local damping scheme for convergence in static and quasi-static analyses.
• Numerical simulations for mode I and mixed-mode cracks under static, quasi-static, and dynamic loading.

Main Results:

• The OSPD approach successfully captured complex dynamic fracture phenomena, including crack branching.
• Peak DSIFs under dynamic loading were found to exceed static values.
• Simulations showed high accuracy in predicting elastic deformation, SIFs, and crack paths, validated against benchmarks and FEM.

Conclusions:

• The proposed OSPD approach is accurate and effective for quasi-static and dynamic fracture analysis in brittle solids.
• The method demonstrates suitability for investigating complex fracture systems beyond benchmark problems.
• OSPD provides a robust tool for predicting crack propagation and stress intensity factors in advanced engineering applications.