- author = "Gabriel Kronberger and Evgeniya Kabliman and Johannes Kronsteiner and Michael Kommenda",
- title = "Predicting Calibration Parameter Values for Constitutive Models using Genetic Programming",
- title2 = "Extending a Physics-Based Constitutive Model using Genetic Programming",
- howpublished = "arXiv",
- volume = "abs/2108.01595",
- year = "2021",
- month = "19 " # nov,
- note = "Preprint of \cite{KRONBERGER:2022:AES}",
- keywords = "genetic algorithms, genetic programming, Symbolic Regression, Material Modelling, Flow Stress",
-
URL = "
https://arxiv.org/abs/2108.01595",
- eprinttype = "arXiv",
- eprint = "2108.01595",
- timestamp = "Thu, 05 Aug 2021 01:00:00 +0200",
-
biburl = "https://dblp.org/rec/journals/corr/abs-2108-01595.bib",
- bibsource = "dblp computer science bibliography, https://dblp.org",
- size = "25 pages",
-
abstract = "In material science, models are derived to predict
emergent material properties (e.g. elasticity,
strength, conductivity) and their relations to
processing conditions. A major drawback is the
calibration of model parameters that depend on
processing conditions. Currently, these parameters must
be optimized to fit measured data since their relations
to processing conditions (e.g. deformation temperature,
strain rate) are not fully understood. We present a new
approach that identifies the functional dependency of
calibration parameters from processing conditions based
on genetic programming. We propose two (explicit and
implicit) methods to identify these dependencies and
generate short interpretable expressions. The approach
is used to extend a physics-based constitutive model
for deformation processes. This constitutive model
operates with internal material variables such as a
dislocation density and contains a number of
parameters, among them three calibration parameters.
The derived expressions extend the constitutive model
and replace the calibration parameters. Thus,
interpolation between various processing parameters is
enabled.
Our results show that the implicit method is computationally more expensive than the explicit approach but also produces significantly better results.",
- notes = "version 4 (19 Nov 2921) title and title2 do not match",
