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Accurate prediction of fracture toughness under complex loading conditions, like mixed mode I/II, is essential for reliable failure assessment. This paper aims to develop a machine learning framework for predicting fracture toughness and…

Computational Physics · Physics 2025-03-04 Amir Mohammad Mirzaei

Traditional approaches based on finite element analyses have been successfully used to predict the macro-scale behavior of heterogeneous materials (composites, multicomponent alloys, and polycrystals) widely used in industrial applications.…

Materials Science · Physics 2022-11-24 Rajat Arora

In this paper, we propose the MultiLevel Variational MultiScale (ML-VMS) method, a novel approach that seamlessly integrates a multilevel mesh strategy into the Variational Multiscale (VMS) framework. A key feature of the ML-VMS method is…

Numerical Analysis · Mathematics 2025-10-28 Lei Zhang , Jiachen Guo , Shaoqiang Tang , Thomas J. R. Hughes , Wing Kam Liu

We demonstrate neural-network runtime prediction for complex, many-parameter, massively parallel, heterogeneous-physics simulations running on cloud-based MPI clusters. Because individual simulations are so expensive, it is crucial to train…

Computational Physics · Physics 2020-10-08 Ardavan Oskooi , Christopher Hogan , Alec M. Hammond , M. T. Homer Reid , Steven G. Johnson

The increased adoption of reinforced polymer (RP) composite materials, driven by eco-design standards, calls for a fine balance between lightness, stiffness, and effective vibration control. These materials are integral to enhancing…

Machine Learning · Computer Science 2023-10-25 Victor Hoffmann , Ilias Nahmed , Parisa Rastin , Guénaël Cabanes , Julien Boisse

Machine Learning (ML) algorithms are increasingly used as surrogate models to increase the efficiency of stochastic reliability analyses in geotechnical engineering. This paper presents a highly efficient ML aided reliability technique that…

Machine Learning · Computer Science 2022-04-14 Mohammad Aminpour , Reza Alaie , Navid Kardani , Sara Moridpour , Majidreza Nazem

Multiscale computational modelling is challenging due to the high computational cost of direct numerical simulation by finite elements. To address this issue, concurrent multiscale methods use the solution of cheaper macroscale surrogates…

Computational Engineering, Finance, and Science · Computer Science 2022-01-20 Vasilis Krokos , Viet Bui Xuan , Stéphane P. A. Bordas , Philippe Young , Pierre Kerfriden

In the present work, a machine learning based constitutive model for electro-mechanically coupled material behavior at finite deformations is proposed. Using different sets of invariants as inputs, an internal energy density is formulated…

Computational Engineering, Finance, and Science · Computer Science 2022-08-30 Dominik K. Klein , Rogelio Ortigosa , Jesús Martínez-Frutos , Oliver Weeger

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

Real-time simulation of elastic structures is essential in many applications, from computer-guided surgical interventions to interactive design in mechanical engineering. The Finite Element Method is often used as the numerical method of…

Machine Learning · Computer Science 2021-09-21 Alban Odot , Ryadh Haferssas , Stéphane Cotin

The aim of this work is to efficiently and robustly solve the statistical inverse problem related to the identification of the elastic properties at both macroscopic and mesoscopic scales of heterogeneous anisotropic materials with a…

Classical Physics · Physics 2020-06-29 Tianyu Zhang , Florent Pled , Christophe Desceliers

Fibrillar adhesion, observed in animals like beetles, spiders, and geckos, relies on nanoscopic or microscopic fibrils to enhance surface adhesion via 'contact splitting.' This concept has inspired engineering applications across robotics,…

Machine Learning · Computer Science 2024-10-08 Mohammad Shojaeifard , Matteo Ferraresso , Alessandro Lucantonio , Mattia Bacca

Stacking fault energies (SFEs) are vital parameters for understanding the deformation mechanisms in metals and alloys, with prior knowledge of SFEs from ab initio calculations being crucial for alloy design. Machine learning (ML) algorithms…

Materials Science · Physics 2024-06-04 Albert Linda , Md. Faiz Akhtar , Shaswat Pathak , Somnath Bhowmick

Training convolutional neural networks (CNNs) on high-resolution images is often bottlenecked by the cost of evaluating gradients of the loss on the finest spatial mesh. To address this, we propose Multiscale Gradient Estimation (MGE), a…

Machine Learning · Computer Science 2026-03-03 Shadab Ahamed , Niloufar Zakariaei , Eldad Haber , Moshe Eliasof

High-dimensional tensor models are notoriously computationally expensive to train. We present a meta-learning algorithm, MMT, that can significantly speed up the process for spatial tensor models. MMT leverages the property that spatial…

Machine Learning · Computer Science 2018-03-01 Stephan Zheng , Rose Yu , Yisong Yue

The rapid development of machine learning (ML) and artificial intelligence (AI) applications requires the training of large numbers of models. This growing demand highlights the importance of training models without human supervision, while…

Machine Learning · Computer Science 2025-05-26 Alexey Boldyrev , Fedor Ratnikov , Andrey Shevelev

Machine learning (ML) accelerates the exploration of material properties and their links to the structure of the underlying molecules. In previous work [J. Shi, M. J. Quevillon, P. H. A. Valen\c{c}a, and J. K. Whitmer, \textit{ACS Appl.…

Soft Condensed Matter · Physics 2023-01-06 Jiale Shi , Fahed Albreiki , Yamil J. Colón , Samanvaya Srivastava , Jonathan K. Whitmer

Catastrophic failure in brittle materials is often due to the rapid growth and coalescence of cracks aided by high internal stresses. Hence, accurate prediction of maximum internal stress is critical to predicting time to failure and…

There is growing interest in using machine learning (ML) methods for structural metamodeling due to the substantial computational cost of traditional simulations. Purely data-driven strategies often face limitations in model robustness,…

Applied Physics · Physics 2024-04-30 R. Bailey Bond , Pu Ren , Jerome F. Hajjar , Hao Sun

Frugal Machine Learning (FML) refers to the practice of designing Machine Learning (ML) models that are efficient, cost-effective, and mindful of resource constraints. This field aims to achieve acceptable performance while minimizing the…

Machine Learning · Computer Science 2025-06-03 John Violos , Konstantina-Christina Diamanti , Ioannis Kompatsiaris , Symeon Papadopoulos
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