Peridynamics | Hafezi's Team

Peri-ultrasound is a novel fast modeling tool based on peridynamic theory.
It accurately simulates linear and nonlinear ultrasonic responses in the interaction between surface waves and surface-breaking cracks.
The simulation involves triangular pulse excitation and tracks particle movements on both sides of the crack.
Computed amplitude spectra of the Rayleigh wave align with experimental observations.
Presence of a surface-breaking crack significantly increases nonlinear behavior in the structure.
Results have been validated against the analytical solution for Lamb's Problem, ensuring accuracy.
Peri-ultrasound provides valuable insights for crack detection and analysis in structural behavior.

Nonlinear Ultrasonic Modeling Techniques for Nondestructive Evaluation

Hafezi, M.H. and Kundu, T., 2018. Peri-ultrasound modeling for surface wave propagation. Ultrasonics, 84, pp.162-171.
Hafezi, M.H. and Kundu, T., 2018. Peri-ultrasound modeling of dynamic response of an interface crack showing wave scattering and crack propagation. Journal of Nondestructive Evaluation, Diagnostics and Prognostics of Engineering Systems, 1(1).
Hafezi, M.H., Alebrahim, R. and Kundu, T., 2017. Peri-ultrasound for modeling linear and nonlinear ultrasonic response. Ultrasonics, 80, pp.47-57.

Developed a state-of-the-art peridynamic tool for ultrasonic wave propagation modeling
Overcame challenges of fracture mode identification in existing continuum mechanics models
Early stage detection of material nonlinearity for accurate evaluation of nonlinear ultrasonic behavior
Investigated effects of thin and thick cracks on material nonlinearity
Verified tool efficacy through comparison with observed crack propagation results
Eliminated the need for a separate damage law in modeling crack initiation and propagation

Innovative modeling of crack propagation and branching using nonlocal peridynamic theory in peri-ultrasonic research
Unified material behavior modeling without the need for a separate damage law, overcoming limitations of existing numerical tools
Effective detection of nonlinear behavior in early stages of crack growth through wave damage interactions
Determination of parameters for ductile and brittle fractures, enhancing the accuracy of peridynamic theory
Successful development of a computer code for implementation of the peridynamic theory in two-dimensional modeling analysis
Consistent predictions of crack propagation with observed results, validating the efficacy of the peridynamic approach
Identification of a significant increase in nonlinear behavior with the presence of thin cracks in structural materials
Novel tool for monitoring structural health through comprehensive modeling of both linear and nonlinear ultrasonic behaviors.

Development of a cutting-edge peri-ultrasound modeling tool based on the peridynamic theory
Early detection of material nonlinearity during crack growth, without the need for artificial changes or monitoring clap cracking phenomena
Experimental validation of the model's effectiveness in ultrasonic behavior modeling
In-depth investigation of thick and thin cracks' impact on material nonlinearity using the sideband peak count feature
Significant increase in nonlinear behavior observed in the presence of thin cracks
Introduction of a novel engineering simulation tool for product performance inspection
Cost-effective alternative to physical testing methods, saving time in the design process
Advancement in understanding and predicting material behavior, leading to improved product reliability and performance.