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The growing use of composite materials in engineering applications has accelerated the demand for computational methods to accurately predict their complex behavior. Multiscale modeling based on computational homogenization is a potentially…

Numerical Analysis · Mathematics 2024-10-18 N. Kovács , M. A. Maia , I. B. C. M. Rocha , C. Furtado , P. P. Camanho , F. P. van der Meer

Many important multi-component crystalline solids undergo mechanochemical spinodal decomposition: a phase transformation in which the compositional redistribution is coupled with structural changes of the crystal, resulting in dynamically…

Computational Engineering, Finance, and Science · Computer Science 2023-07-19 Xiaoxuan Zhang , Krishna Garikipati

Woven fabrics play an essential role in everyday textiles for clothing/sportswear, water filtration, and retaining walls, to reinforcements in stiff composites for lightweight structures like aerospace, sporting, automotive, and marine…

Applied Physics · Physics 2023-11-27 Haotian Feng , Sabarinathan P Subramaniyan , Hridyesh Tewani , Pavana Prabhakar

Design and analysis of inelastic materials requires prediction of physical responses that evolve under loading. Numerical simulation of such behavior using finite element (FE) approaches can call for significant time and computational…

Materials Science · Physics 2025-07-08 Indrashish Saha , Ashwini Gupta , Lori Graham-Brady

The present study develops a physics-constrained neural network (PCNN) to predict sequential patterns and motions of multiphase flows (MPFs), which includes strong interactions among various fluid phases. To predict the order parameters,…

Fluid Dynamics · Physics 2022-10-06 Haoyang Zheng , Ziyang Huang , Guang Lin

Evaluating the mechanical response of fiber-reinforced composites can be extremely time consuming and expensive. Machine learning (ML) techniques offer a means for faster predictions via models trained on existing input-output pairs and…

Materials Science · Physics 2024-10-03 Yixuan Sun , Imad Hanhan , Michael D. Sangid , Guang Lin

Numerical modeling of polycrystal plasticity is computationally intensive. We employ Graph Neural Networks (GNN) to predict stresses on complex geometries for polycrystal plasticity from Finite Element Method (FEM) simulations. We present a…

Materials Science · Physics 2025-02-13 Hanfeng Zhai

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

Microstructures, i.e., architected materials, are designed today, typically, by maximizing an objective, such as bulk modulus, subject to a volume constraint. However, in many applications, it is often more appropriate to impose constraints…

Materials Science · Physics 2022-07-15 Saketh Sridhara , Aaditya Chandrasekhar , Krishnan Suresh

Nonlinear metamaterials with tailored mechanical properties have applications in engineering, medicine, robotics, and beyond. While modeling their macromechanical behavior is challenging in itself, finding structure parameters that lead to…

Graphics · Computer Science 2023-09-20 Yue Li , Stelian Coros , Bernhard Thomaszewski

Various machine learning models have been used to predict the properties of polycrystalline materials, but none of them directly consider the physical interactions among neighboring grains despite such microscopic interactions critically…

Materials Science · Physics 2021-07-16 Minyi Dai , Mehmet F. Demirel , Yingyu Liang , Jia-Mian Hu

We develop a data-driven machine learning approach to identifying parameters with steady-state solutions, locating such solutions, and determining their linear stability for systems of ordinary differential equations and dynamical systems…

Numerical Analysis · Mathematics 2025-03-11 Yimeng Zhang , Alexander Cloninger , Bo Li , Xiaochuan Tian

Peridynamics is a non-local continuum mechanics theory that offers unique advantages for modeling problems involving discontinuities and complex deformations. Within the peridynamic framework, various formulations exist, among which the…

Computational Physics · Physics 2024-11-15 Xuan Hu , Qijun Chen , Nicholas H. Luo , Richy J. Zheng , Shaofan Li

We propose a physics-informed machine learning framework called P-DivGNN to reconstruct local stress fields at the micro-scale, in the context of multi-scale simulation given a periodic micro-structure mesh and mean, macro-scale, stress…

Machine Learning · Computer Science 2025-07-09 Manuel Ricardo Guevara Garban , Yves Chemisky , Étienne Prulière , Michaël Clément

The macroscopic response of short fiber reinforced composites is dependent on an extensive range of microstructural parameters. Thus, micromechanical modeling of these materials is challenging and in some cases, computationally expensive.…

Machine Learning · Computer Science 2022-10-04 J. Friemann , B. Dashtbozorg , M. Fagerström , S. M. Mirkhalaf

Fast prediction of suspension rheology is fundamental for optimizing process efficiency and performance in numerous industrial settings. However, traditional simulations are computationally demanding due to explicit evaluation of contact…

Soft Condensed Matter · Physics 2026-02-10 Armin Aminimajd , Joao Maia , Abhinendra Singh

Predicting material properties of 3D printed polymer products is a challenge in additive manufacturing due to the highly localized and complex manufacturing process. The microstructure of such products is fundamentally different from the…

Soft Condensed Matter · Physics 2023-11-01 Caglar Tamur , Shaofan Li , Danielle Zeng

In the present work, 3D convolutional neural networks (CNNs) are trained to link random heterogeneous, two-phase materials of arbitrary phase fractions to their elastic macroscale stiffness thus replacing explicit homogenization…

Materials Science · Physics 2021-09-08 Bernhard Eidel

Stress analysis of heterogeneous media, like composite materials, using Finite Element Analysis (FEA) has become commonplace in design and analysis. However, determining stress distributions in heterogeneous media using FEA can be…

Applied Physics · Physics 2021-04-22 Haotian Feng , Pavana Prabhakar

This study presents a novel physics-informed neural network (PINN) framework for modeling poroelasticity in heterogeneous media with material interfaces. The approach introduces a composite neural network (CoNN) where separate neural…

Systems and Control · Electrical Eng. & Systems 2024-12-31 Sumanta Roy , Chandrasekhar Annavarapu , Pratanu Roy , Dakshina Murthy Valiveti
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