Vljudno vabljeni na predavanje, ki bo v ponedeljek, 4. 5. 2026, ob 11.30 uri v Leskovarjevi sobi.
»Symbolic Regression Aided Modeling of Soft Materials«
Mikhail ltskov
Department of Continuum Mechanics, RWTH Aachen University
Povzetek:
Symbolic regression represents an interesting method of machine learning which allows an unbiased automatized generation of constitutive models for various materials. In comparison to other data-driven methods symbolic regression formulates a mathematical expression (for example, of a strain energy or damage function) which ·can be analyzed, interpreted und easily implemented into a finite element code. In this talk, we first apply symbolic regression to modeling of soft materials. They are usually subject to large deformations, demonstrate inelastic and often anisotropic response, which makes their constitutive modeling very challenging. For a long time, it was mostly driven by expert knowledge whereas attention was focused in particular to elastomers, biological tissues and fabrics. We present some applications demonstrating how effective symbolic regression can be for example in modeling elastic and inelastic response of elastomers. The proposed procedure also grants new insights into many established and well-known material models. Further, deep symbolic regression was applied to describe microstructure property relations of aerogels which represent very light open-porous materials with exceptional thermal and acoustic insulation properties. Finally, we show that deep symbolic regression enables calculating isotropic tensor functions in terms of the principal invariants of the argument tensor even without computing its eigenvalues. The presented results demonstrate the large potential of deep symbolic regression for various applications in continuum mechanics and especially in r.onstitutive modeling of materials.
0 predavatelju:
Prof. ltskov got 1987 his Diploma Degree in Automobile Engineering at the Moscow State Automobile and Road Technical University (TU MADI). 1990 he got Doctor Degree in Mechanics at this Technical University. 1995 he came to Germany as a fellow of the German Academic Exchange Service (DAAD) and worked later as a research assistant at the Ruhr-University of Bochum and then at the University of Bayreuth. 2002 he got there his Habilitation degree in Mechanics. Since 2004 he has been full professor of continuum mechanics at the faculty of Mechanical Engineering of the RWTH Aachen University. Prof. ltskov is author of the book “Tensor Algebra and Tensor Analysis for Engineers” whose 6th edition appeared recently and of many publications in international peer-reviewed journals. Research interests of Prof. ltskov encompass mechanics and modeling of soft materials like rubbers, aerogels, hydrogels and soft biological tissues under large strains. Special attention he also focuses on the application of machine learning to material modeling.