Study on Interfacial Crack of Piezoelectric Bimaterials Under Dynamic Loading

Area of Science:

• Solid Mechanics
• Materials Science
• Fracture Mechanics

Background:

• Engineering applications require understanding material strength and dynamic fracture.
• Piezoelectric bimaterials exhibit complex behaviors under dynamic loading.
• Interface cracks in anisotropic materials present unique challenges.

Purpose of the Study:

• Analyze dynamic crack propagation in orthogonal anisotropic interface cracks within piezoelectric bimaterials.
• Determine stress and electric displacement intensity factors at the crack tip.
• Predict fracture behavior using advanced modeling techniques.

Main Methods:

• Laplace and Fourier transformations to convert governing equations into singular integral equations.
• Chebyshev point method and Laplace inversion to solve for intensity factors.
• Response surface method and random forest modeling for prediction and analysis.

Main Results:

• Crack length positively correlates with the dimensionless function, indicating longer cracks increase stress.
• Smaller elastic parameters generally lead to smaller dimensionless dynamic stress intensity factors.
• Impact time influences dynamic crack propagation, with the dimensionless function peaking and then converging to a static value.

Conclusions:

• The study provides insights into the dynamic fracture mechanics of piezoelectric bimaterials.
• Optimal parameter values were identified for maximizing stress intensity.
• The random forest model demonstrates high predictive accuracy (R²=0.9886) for engineering applications.