Identification of empirical constitutive models for age-hardenable aluminium alloy and high-chromium martensitic steel using symbolic regression

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@Article{Kabliman:2026:RSTA,

• author = "Evgeniya Kabliman and Gabriel Kronberger",
• title = "Identification of empirical constitutive models for age-hardenable aluminium alloy and high-chromium martensitic steel using symbolic regression",
• journal = "Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences",
• year = "2026",
• volume = "384",
• number = "2317",
• pages = "20240587",
• month = "9 " # apr,
• keywords = "genetic algorithms, genetic programming, constitutive models, symbolic regression, evolutionary algorithms, artificial intelligence, AI, computational mechanics, computer modeling and simulation, materials science, mathematical modelling, mechanical engineering, stainless steel",
• ISSN = "1364-503X",
• URL = "https://doi.org/10.1098/rsta.2024.0587",
• eprint = "https://royalsocietypublishing.org/rsta/article-pdf/doi/10.1098/rsta.2024.0587/6131223/rsta.2024.0587.pdf",
• DOI = "10.1098/rsta.2024.0587",
• abstract = "Process-structure-property relationships are fundamental in materials science and engineering and are key to the development of new and improved materials. Symbolic regression serves as a powerful tool for uncovering mathematical models that describe these relationships. It can automatically generate equations to predict material behaviour under specific manufacturing conditions and optimize performance characteristics such as strength and elasticity. The present work illustrates how symbolic regression can derive constitutive models that describe the behaviour of various metallic alloys during plastic deformation. Constitutive modelling is a mathematical framework for understanding the relationship between stress and strain in materials under different loading conditions. In this study, two materials (age-hardenable aluminium alloy and high-chromium martensitic steel) and two different testing methods (compression and tension) are considered to obtain the required stress–strain data. The results highlight the benefits of using symbolic regression while also discussing potential challenges.",
• notes = "part of the discussion meeting issue Symbolic regression in the physical sciences \cite{Bartlett:2026:RSTAintro}.",

}

Genetic Programming entries for Evgeniya Kabliman Gabriel Kronberger

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