About this Abstract |
| Meeting |
2026 TMS Annual Meeting & Exhibition
|
| Symposium
|
Fracture and Deformation Across Length Scales: Celebrating the Legacy of William Gerberich
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| Presentation Title |
A Stochastic Approach to Critical Energy Release Rate in Phase-Field Fracture Simulation |
| Author(s) |
Miguel Enrique Fernandez, Douglas E Spearot, Remi Dingreville |
| On-Site Speaker (Planned) |
Miguel Enrique Fernandez |
| Abstract Scope |
In phase-field, it is common to assign a uniform value for a property within a particular domain, such as a grain or grain boundary. This is suitable only when that average property is representative of the entire domain. In polycrystalline metals, properties like fracture toughness are driven instead by extreme value statistics, where local property maxima (or minima) determine the response. This talk presents motivations from atomistic simulations for a stochastic approach to local fracture properties and a phase field methodology for conducting fracture simulations at the mesoscale with local critical energy release rates selected from different distributions. We demonstrate that assuming a uniform critical energy release rate overpredicts the fracture toughness of a material with a locally stochastic critical energy release rate in 83% of simulations. This suggests a need for uncertainty quantification in fracture simulation that considers the extreme-value nature of fracture and the locality of material properties. |
| Proceedings Inclusion? |
Planned: |
| Keywords |
Mechanical Properties, Modeling and Simulation, Computational Materials Science & Engineering |