A remapping scheme for history-dependent material state variables
Here, we present an interpolation scheme for use with material models involving history-dependent state variables. The interpolation scheme is based on the solution of a constrained optimization problem, to identify the smoothest monotone curve which produces an admissible solution. Unlike classical schemes used for transport equations, the proposed methodology accounts for the interdependence of the history variables and produces admissible interpolations of the material's state variables. After introducing a general solution scheme for the problem, a simplified and more computationally efficient method is derived. Finally, as a validation problem for the proposed methods, we consider the advection of internal state variables belonging to material models with highly nonlinear yield surfaces.
- Research Organization:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE National Nuclear Security Administration (NNSA)
- Grant/Contract Number:
- 89233218CNA000001
- OSTI ID:
- 1650643
- Alternate ID(s):
- OSTI ID: 1605948
- Report Number(s):
- LA-UR-20-20296; LA-UR-19-24447
- Journal Information:
- International Journal for Numerical Methods in Engineering, Vol. 121, Issue 14; ISSN 0029-5981
- Publisher:
- WileyCopyright Statement
- Country of Publication:
- United States
- Language:
- English
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