Multidisciplinary approaches to microstructural impacts on strength and fracture: from fundamental equations to machine learning techniques

MT Ebrahimi and M Fakoor, APPLIED PHYSICS A-MATERIALS SCIENCE & PROCESSING, 131, 692 (2025).

DOI: 10.1007/s00339-025-08804-4

Impurities significantly affect the properties of materials. Understanding and addressing their effects requires a comprehensive, interdisciplinary approach integrating principles from physics, mechanics, materials science, and mathematics and involves solving fundamental equations of electromagnetism, elasticity, and thermodynamics. In this study, we first acknowledge the multidisciplinary nature of the problem and how scientists have utilised various methods and simulation tools from different fields of science. We aim to illustrate the evolution of research about multi-object challenges in physics and demonstrate the applicability of these concepts and methodologies within micromechanics. Next, we reviewed the responses of impurities to external mechanical, thermal, electric, and magnetic fields. Subsequently, we delve into the limitations of analytical and simulation research in advancing the field and explore how scientists can overcome challenges by using hybrid methods and machine learning. Finally, we provide a comprehensive review of machine learning methods for predicting the role of microstructures on the strength and fracture of materials.

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