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In this study, we present a methodology to predict the macroscopic yield surface of metals and metallic alloys with general crystallographic textures. In previous work, we have established the use of partially input convex neural networks…

Crystal plasticity (CP) simulations are a tool for understanding how microstructure morphology and texture affect mechanical properties and are an essential component of elucidating the structure-property relations. However, it can be…

Computational Engineering, Finance, and Science · Computer Science 2024-06-17 Junyan He , Deepankar Pal , Ali Najafi , Diab Abueidda , Seid Koric , Iwona Jasiuk

The mechanical properties and long-term structural reliability of crystalline materials are strongly influenced by microstructural features such as grain size, morphology, and crystallographic texture. These characteristics not only…

The constitutive modelling of granular, porous and quasi-brittle materials is based on yield (or damage) functions, which may exhibit features (for instance, lack of convexity, or branches where the values go to infinity, or false elastic…

Materials Science · Physics 2014-09-24 S. Stupkiewicz , R. Denzer , A. Piccolroaz , D. Bigoni

A yield surface of a material is a set of critical stress conditions beyond which macroscopic plastic deformation begins. For crystalline solids, plastic deformation occurs through the motion of dislocations, which can be captured by…

Materials Science · Physics 2024-02-06 Wu-Rong Jian , Mian Xiao , WaiChing Sun , Wei Cai

Using a correlation between local yielding and a multiaxial strength-to-stiffness parameter, the continuum-scale yield surface for a polyphase, polycrystalline solid is predicted. The predicted surface explicitly accounts for microstructure…

Materials Science · Physics 2017-11-30 Andrew C. Poshadel , Paul R. Dawson

Understanding and predicting microstructure evolution is fundamental to materials science, as it governs the resulting properties and performance of materials. Traditional simulation methods, such as phase-field models, offer high-fidelity…

Machine Learning · Computer Science 2026-02-24 Michael Trimboli , Mohammed Alsubaie , Sirani M. Perera , Ke-Gang Wang , Xianqi Li

A new yield/damage function is proposed for modelling the inelastic behaviour of a broad class of pressure-sensitive, frictional, ductile and brittle-cohesive materials. The yield function allows the possibility of describing a transition…

Mathematical Physics · Physics 2010-10-12 Davide Bigoni , Andrea Piccolroaz

We investigate the formation of stress hotspots in polycrystalline materials under uniaxial tensile deformation by integrating full field crystal plasticity based deformation models and machine learning techniques to gain data driven…

Materials Science · Physics 2018-06-15 Ankita Mangal , Elizabeth A. Holm

Plastic deformation of micron-scale crystalline solids exhibits stress-strain curves with significant sample-to-sample variations. It is a pertinent question if this variability is purely random or to some extent predictable. Here we show,…

Disordered Systems and Neural Networks · Physics 2020-01-31 Henri Salmenjoki , Mikko J. Alava , Lasse Laurson

The mechanical properties of a material are intimately related to its microstructure. This is particularly important for predicting mechanical behavior of polycrystalline metals, where microstructural variations dictate the expected…

Materials Science · Physics 2024-01-23 Yejun Gu , Christopher D. Stiles , Jaafar A. El-Awady

This paper presents a new machine learning-based approach to investigate anisotropic yield surfaces of sheet metals by means of virtual experiments. The new sampling approach is based on the machine learning technique known as active…

Materials Science · Physics 2024-04-23 Alexander Wessel , Lukas Morand , Alexander Butz , Dirk Helm , Wolfram Volk

We present a three-dimensional foundation model for polycrystalline materials based on a masked autoencoder trained via large-scale self-supervised learning. The model is pretrained on $100{,}000$ voxelized synthetic face-centered cubic…

Computational Engineering, Finance, and Science · Computer Science 2025-12-24 Ting-Ju Wei , Chuin-Shan Chen

In this work we employ data-driven homogenization approaches to predict the particular mechanical evolution of polycrystalline aggregates with tens of individual crystals. In these oligocrystals the differences in stress response due to…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Ari L. Frankel , Reese E. Jones , Coleman Alleman , Jeremy A. Templeton

Deformation of crystalline materials is an interesting example of complex system behaviour. Small samples typically exhibit a stochastic-like, irregular response to externally applied stresses, manifested as significant sample-to-sample…

Computational Physics · Physics 2023-08-30 Marcin Mińkowski , Lasse Laurson

Inorganic crystal materials have broad application potential due to excellent physical and chemical properties, with elastic properties (shear modulus, bulk modulus) crucial for predicting materials' electrical conductivity, thermal…

Materials Science · Physics 2025-11-07 Yujie Liu , Zhenyu Wang , Hang Lei , Guoyu Zhang , Jiawei Xian , Zhibin Gao , Jun Sun , Haifeng Song , Xiangdong Ding

We present a novel machine learning based surrogate modeling method for predicting spatially resolved 3D microstructure evolution of polycrystalline materials under uniaxial tensile loading. Our approach is orders of magnitude faster than…

Materials Science · Physics 2020-05-05 Anup Pandey , Reeju Pokharel

Crystallization processes at the mesoscopic scale, where faceted, dendritic growth, and multigrain formation can be observed, are of particular interest within materials science and metallurgy. These processes are highly nonlinear,…

Machine Learning · Computer Science 2024-05-28 Pol Timmer , Koen Minartz , Vlado Menkovski

The question of how a disordered material's microstructure translates into macroscopic mechanical response is central to understanding and designing materials like pastes, foams and metallic glasses. Here, we examine a 2D soft jammed…

Soft Condensed Matter · Physics 2013-06-11 Nathan C. Keim , Paulo E. Arratia

Machine learning has the potential to accelerate materials discovery by accurately predicting materials properties at a low computational cost. However, the model inputs remain a key stumbling block. Current methods typically use…

Computational Physics · Physics 2021-01-07 Rhys E. A. Goodall , Alpha A. Lee
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