journal article·2026-05-14Open access

Optimization of the Production of Rubber Compounds Using Mathematical Models

Anke Bardehle, Andreas Limper, Ulrich Giese, Carlos Lucke, Mario Beiner, Christoph Gögelein, Lisa Leuchtenberger‐Engel, Christian Hopmann

Abstract

Rubber compounds are produced in a discontinuously working internal mixer with the addition of components such as rubber, fillers, plasticizers, and chemicals. In order to ensure a high quality, mixing instructions must be developed for each recipe. Optimal process settings are currently determined iteratively based on expert knowledge. As the scale‐up from lab to production machines is not possible today, these process developments take place on production machines, which is limited in terms of time, costs, and material. Therefore, the aim is to predict and subsequently optimize the mixing process depending on the recipe and process parameters. In order to develop initial approaches for describing the entire mixing process, mathematical models are being developed using symbolic regression to describe the ram path and torque as well as the mixing quality based on incorporation, dispersion, and distribution. Overall, sufficient accuracy can be achieved for predicting the ram path and torque. The following optimization using evolutionary algorithms enables a reduction in energy input up to 40%.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Rheology and Fluid Dynamics Studies · Fault Detection and Control Systems · Polymer crystallization and properties

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Institute for plastics processing (IKV) RWTH Aachen Aachen Germany

Deutsches Institut für Kautschuktechnologie Hannover Germany

Fraunhofer Institute for Microstructure of Materials and Systems Halle Germany

ARLANXEO Deutschland GmbH Dormagen Germany

Funding

Bundesministerium für Forschung und Technologie

References (33)

Show source-provided references
1. Limper A. · 2025
2. Haberstroh E. · 2016
3. Verarbeitungsprozesse mit Modellen beschrieben
4. 10.3139/978344642865210.3139/9783446428652 ↗
5. Erhöhung der Energieeffizienz Bei der Kautschukverarbeitung Durch Eine Mischzeitreduktion Auf Basis Datengeriebener, Mathematischer Modelle
6. Hopmann C. · Gummi Fasern Kautschuk GAK · 2021 · 74 · 1
7. 10.5254/1.353966110.5254/1.3539661 ↗
8. Modelling of the Filler Incorporation during the Rubber Mixing Process using EPDM
9. Predictive Control of Rubber Mixing Process Based on Neural Network Models
10. Ryzko P. · 2001
11. Hopmann C. · Kautschuk Gummi Kunststoffe KGK · 2023 · 76 · 72
12. Hopmann C. · Kautschuk Herbst Kolloquium KHK · 2024
13. Rotor Shape Design by Numerical Simulation: A New Way to Improve Dispersive and Distributive Mixing in Batch Mixers
14. 10.4028/www.scientific.net/KEM.561.5910.4028/www.scientific.net/KEM.561.59 ↗
15. 10.1007/978-3-658-39855-210.1007/978-3-658-39855-2 ↗
16. L.Hermeling Ph.D. Thesis (Universität Siegen 2022).
17. D.Ferrari V.Guidetti Y.Wang andV.Curcin “AMIA Annual Symposium Proceedings ” AMIA Symposium(2022) 442 2022.
18. D.Ferrari “Multi‐Objective Symbolic Regression for Data‐Driven Scoring System Management ” in 2022 IEEE International Conference on Data Mining (ICDM)(2024).10.1109/ICDM54844.2022.00112 ↗
19. Oscillation Rheology vs. High‐Pressure Capillary Rheometry
20. 10.1002/app.2185510.1002/app.21855 ↗
21. Dick J. S.
22. Advances in EPDM Technology: Structure Determination as a Key to Improved Product Performance and Consistency
23. van Duin M. · 2020
24. D24 Committee Test Methods for Carbon Blackdispersion in Rubber.
25. 10.1002/app.1964.07008061510.1002/app.1964.070080615 ↗
26. 10.1002/pen.2012010.1002/pen.20120 ↗
27. 10.5254/1.354263210.5254/1.3542632 ↗
28. 10.5254/1.354027210.5254/1.3540272 ↗
29. NN Deap documentation https://deap.readthedocs.io/en/master/.
30. F.De Rainvill et al. Deap https://github.com/DEAP/deap.
31. Cheremisinoff N. P. · 1996
32. G.Focht Ph.D. Thesis (Universität Siegen 2018).
33. Hopmann C. · Kautschuk Gummi Kunststoffe KGK · 2023 · 77 · 56