About this Abstract |
| Meeting |
2026 TMS Annual Meeting & Exhibition
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| Symposium
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Microstructure-Sensitive Modeling Across Length Scales: An MPMD/SMD Symposium in Honor of David L. McDowell
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| Presentation Title |
Unified Stress-Strain Model to Accommodate Plasticity Behavior From Yield to the Structural Instability |
| Author(s) |
Alan F. Jankowski |
| On-Site Speaker (Planned) |
Alan F. Jankowski |
| Abstract Scope |
The microstructural length scale of metals changes by orders of magnitude under extreme processing conditions producing a concurrent wide range of mechanical strength and plasticity behaviors. To quantify as well as qualify these behaviors, a unified stress-strain σ(ε) model is formulated that’s based on superposing the components of asymptotic-curvilinear work hardening Θ(σ). This approach accounts for the rapid strengthening of metals beyond the yield point, through extended steady-state deformation, to the structural instability. The relationship between tensile strength and the coefficients of the work hardening formulation Θ(σ) provide insight to the microstructural scale. Specifically, the slope of the Θ(σ) curve at the yield point is found (as, e.g., doi:10.5539/jmsr.v14n1p1) to provide a measure of grain size for a functional Hall-Petch relationship with strength. Examples in application are considered for the tensile behavior of microstructures that result from rapid solidification and extreme plastic deformation. |
| Proceedings Inclusion? |
Planned: |
| Keywords |
Mechanical Properties, Modeling and Simulation, Additive Manufacturing |