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We propose a machine learning approach to address a key challenge in materials science: predicting how fractures propagate in brittle materials under stress, and how these materials ultimately fail. Our methods use deep learning and train…

Accurately predicting when and how materials fail is critical to designing safe, reliable structures, mechanical systems, and engineered components that operate under stress. Yet, fracture behavior remains difficult to model across the…

Spatial and temporal features are studied with respect to their predictive value for failure time prediction in subcritical failure with machine learning (ML). Data are generated from simulations of a novel, brittle random fuse model (RFM),…

Materials Science · Physics 2022-08-16 Stefan Hiemer , Paolo Moretti , Stefano Zapperi , Michael Zaiser

In the context of the Damage Mechanics Challenge, we adopt a phase-field model of brittle fracture to blindly predict the behavior up to failure of a notched three-point-bending specimen loaded under mixed-mode conditions. The beam is…

Computational Engineering, Finance, and Science · Computer Science 2024-12-17 Jonas Heinzmann , Pietro Carrara , Chenyi Luo , Manav Manav , Akanksha Mishra , Sindhu Nagaraja , Hamza Oudich , Francesco Vicentini , Laura De Lorenzis

Prediction of breakdown in disordered solids under external loading in a question of paramount importance. Here we use a fiber bundle model for disordered solids and record the time series of the avalanche sizes and energy bursts. The time…

Statistical Mechanics · Physics 2022-09-14 Diksha , Soumyajyoti Biswas

Failure in brittle materials under dynamic loading conditions is a result of the propagation and coalescence of microcracks. Simulating this mechanism at the continuum level is computationally expensive or, in some cases, intractable. The…

Understanding material failure is critical for designing stronger and lighter structures by identifying weaknesses that could be mitigated. Existing full-physics numerical simulation techniques involve trade-offs between speed, accuracy,…

Accurate predictions of the failure progression of structural materials is critical for preventing failure-induced accidents. Despite considerable mechanics modeling-based efforts, accurate prediction remains a challenging task in…

Materials Science · Physics 2022-05-19 Leslie Ching Ow Tiong , Gunjick Lee , Seok Su Sohn , Donghun Kim

This study introduces a physics-based machine learning framework for modeling both brittle and ductile fractures. Unlike physics-informed neural networks, which solve partial differential equations by embedding physical laws as soft…

Numerical Analysis · Mathematics 2025-02-14 Fadi Aldakheel , Elsayed S. Elsayed , Yousef Heider , Oliver Weeger

Data driven approaches have the potential to make modeling complex, nonlinear physical phenomena significantly more computationally tractable. For example, computational modeling of fracture is a core challenge where machine learning…

Machine Learning · Computer Science 2025-10-01 Erfan Hamdi , Emma Lejeune

This work presents a two-stage physics-informed, data-driven constitutive modeling framework for hyperelastic soft materials undergoing progressive damage and failure. The framework is grounded in the concept of hyperelasticity with energy…

Computational Engineering, Finance, and Science · Computer Science 2026-02-13 Kshitiz Upadhyay

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

In this paper, five different approaches for reduced-order modeling of brittle fracture in geomaterials, specifically concrete, are presented and compared. Four of the five methods rely on machine learning (ML) algorithms to approximate…

Computational Engineering, Finance, and Science · Computer Science 2018-06-07 A. Hunter , B. A. Moore , M. K. Mudunuru , V. T. Chau , R. L. Miller , R. B. Tchoua , C. Nyshadham , S. Karra , D. O. Malley , E. Rougier , H. S. Viswanathan , G. Srinivasan

Machine Learning (ML) has offered innovative perspectives for accelerating the discovery of new functional materials, leveraging the increasing availability of material databases. Despite the promising advances, data-driven methods face…

An image-based deep learning framework is developed in this paper to predict damage and failure in microstructure-dependent composite materials. The work is motivated by the complexity and computational cost of high-fidelity simulations of…

Machine Learning · Computer Science 2022-06-07 Reza Sepasdar , Anuj Karpatne , Maryam Shakiba

In brittle fracture applications, failure paths, regions where the failure occurs and damage statistics, are some of the key quantities of interest (QoI). High-fidelity models for brittle failure that accurately predict these QoI exist but…

Computational Engineering, Finance, and Science · Computer Science 2018-08-01 M. K. Mudunuru , N. Panda , S. Karra , G. Srinivasan , V. T. Chau , E. Rougier , A. Hunter , H. S. Viswanathan

The response of amorphous materials to an applied strain can be continuous, or instead display a macroscopic stress drop when a shear band nucleates. Such discontinuous response can be observed if the initial configuration is very stable.…

Soft Condensed Matter · Physics 2018-10-17 Marko Popović , Tom W. J. de Geus , Matthieu Wyart

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…

A probabilistic approach to phase-field brittle and ductile fracture with random material and geometric properties is proposed within this work. In the macroscopic failure mechanics, materials properties and exactness of spatial quantities…

Numerical Analysis · Mathematics 2022-08-10 Nima Noii , Amirreza Khodadadian , Fadi Aldakheel

Machine learning (ML) force fields have emerged as a powerful tool for computing materials properties at finite temperatures, particularly in regimes where traditional phonon-based perturbation theories fail or cannot be extended beyond the…

Materials Science · Physics 2026-01-30 Martin Callsen , Tai-Ting Lee , Mei-Yin Chou
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