Abstract
A recent comparative study revealed that the commonly offered experimental validations of peridynamics and phase-field fracture models have been insufficient because they involved only nondistinctive experiments, i.e., experiments that can be closely fitted by different models that at the same time give very different predictions in important practical applications. The comparisons showed that the peridynamic and phase-field models are incapable of simulating a set of 11 distinctive experiments—experiments that are critical for assessing the accuracy of different models and are representative of fracture behavior of engineering structures. Practical applications would be helped by common adoption of a model index that would compare the predictive capability of various fracture models quantitatively. Proposed here for further discussion is an example of a possible numerical index, the m-Index, which attempts to characterize how well the optimal calibration of model parameters can match the experimental evidence, such as the fracture patterns, measured response curves, size effect, and crack-parallel stress effect. Included are only the distinctive experiments. As an example, the m-Index is here calculated for a set of seven fracture models whose performance was previously compared with 11 distinctive experiments. This previous comparison of seven models is here extended to an eighth model, proposed as a fresh improvement of peridynamics. The choice of distinctive experiments is one of the subjects calling for further discussion. Despite inevitable imperfections, a widely adopted index for appraising new material models would mitigate waste of researchers’ effort and grant funds, as well as the space in scientific journals and conference programs.
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Data Availability Statement
The data that support the findings of this study are available from the corresponding author upon reasoned request. The coding and all of the corrresponding input files for included simulations of the present 11 distinctive experiments is made available for free download at the authors’ websites: http://www.civil.northwestern.edu/people/bazant/andgithub.com/htn403.
Acknowledgments
Partial financial support under NSF Grant No. CMMI-202964 and ARO Grant No. W911NF-19-1-003, both to Northwestern University, is gratefully acknowledged. MIT professor Franz-Josef Ulm is thanked for helpful discussions.
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Published In
Journal of Engineering Mechanics
Volume 149 • Issue 8 • August 2023
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Aug 1, 2022
Accepted: Dec 15, 2022
Published online: May 23, 2023
Published in print: Aug 1, 2023
Discussion open until: Oct 23, 2023
ASCE Technical Topics:
- Business management
- Comparative studies
- Continuum mechanics
- Cracking
- Engineering fundamentals
- Engineering mechanics
- Fracture mechanics
- Management methods
- Methodology (by type)
- Model accuracy
- Models (by type)
- Practice and Profession
- Ratings
- Research methods (by type)
- Simulation models
- Solid mechanics
- Structural behavior
- Structural engineering
- Structural models
- Validation
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