Application of a nonlinear boundary condition model to adhesion interphase damage and failure

Area of Science:

• Acoustic physics
• Materials science
• Continuum mechanics

Background:

• Generalized boundary conditions for thin acoustic interfaces were previously established.
• Adhesion interphases, critical for bonding, exhibit complex nonlinear behavior.

Purpose of the Study:

• To extend the thin layer acoustic interface model to address interphase nonlinearity.
• To develop a generalized analytical solution for nonlinear interphase behavior.
• To apply the model to predict interphase failure and ultimate adhesion strength.

Main Methods:

• Extension of generalized boundary conditions to include interphase nonlinearity.
• Development of a time-domain analytical solution using layer thickness expansion.
• Application to a continuum damage mechanics model for interphase failure.

Main Results:

• The generalized boundary conditions accommodate diverse interphase nonlinearities, including unilateral effects like clapping and slipping.
• The layer thickness expansion provides a general analytical solution.
• The interphase failure model demonstrates the potential to predict damage evolution and adhesion strength.

Conclusions:

• The extended model provides a robust framework for analyzing nonlinear acoustic interphase behavior.
• Nonlinear ultrasound parameters can be used to nondestructively predict adhesion strength.
• This approach offers a pathway for improved material characterization and failure prediction.