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Many materials, processes, and structures in science and engineering have important features at multiple scales of time and/or space; examples include biological tissues, active matter, oceans, networks, and images. Explicitly extracting,…

Fluid Dynamics · Physics 2021-01-12 Daniel Floryan , Michael D. Graham

In this paper, the impact behaviour of composite laminates is investigated, and their potential for ballistic protection assessed, as a function of the reinforcing materials and structures for three representative fibre-reinforced epoxy…

Applied Physics · Physics 2021-10-01 Stefano Signetti , Federico Bosia , Seunghwa Ryu , Nicola M. Pugno

Physics-constrained data-driven computing is an emerging computational paradigm that allows simulation of complex materials directly based on material database and bypass the classical constitutive model construction. However, it remains…

Numerical Analysis · Mathematics 2022-09-12 Xiaolong He , Qizhi He , Jiun-Shyan Chen

Multiscale modeling of complex systems is crucial for understanding their intricacies. Data-driven multiscale modeling has emerged as a promising approach to tackle challenges associated with complex systems. On the other hand,…

Machine Learning · Computer Science 2024-03-26 Ruyi Tao , Ningning Tao , Yi-zhuang You , Jiang Zhang

The increasing demands of sustainable energy, electronics, and biomedical applications call for next-generation functional materials with unprecedented properties. Of particular interest are emerging materials that display exceptional…

This paper presents a model-free data-driven strategy for linear and non-linear finite element computations of open-cell foam. Employing sets of material data, the data-driven problem is formulated as the minimization of a distance function…

Computational Engineering, Finance, and Science · Computer Science 2021-12-22 Tim Fabian Korzeniowski , Kerstin Weinberg

The recent revolution in data-driven methods for weather forecasting has lead to a fragmented landscape of complex, bespoke architectures and training strategies, obscuring the fundamental drivers of forecast accuracy. Here, we demonstrate…

A data driven finite element method (DDFEM) that accounts for more than two material state variables has been presented in this work. DDFEM framework is motivated from (1,2) and can account for multiple state variables, viz. stresses,…

Computational Physics · Physics 2020-03-31 M. Amir Siddiq

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…

As data-driven methods rise in popularity in materials science applications, a key question is how these machine learning models can be used to understand microstructure. Given the importance of process-structure-property relations…

Artificial Intelligence · Computer Science 2017-11-02 Julia Ling , Maxwell Hutchinson , Erin Antono , Brian DeCost , Elizabeth A. Holm , Bryce Meredig

A main goal of data-driven materials research is to find optimal low-dimensional descriptors, allowing us to predict a physical property, and to interpret them in a human-understandable way. In this work, we advance methods to identify…

Materials Science · Physics 2022-12-14 Benedikt Hoock , Santiago Rigamonti , Claudia Draxl

Accurate and efficient aeroelastic models are critically important for enabling the optimization and control of highly flexible aerospace structures, which are expected to become pervasive in future transportation and energy systems.…

Fluid Dynamics · Physics 2021-04-28 Nicola Fonzi , Steven L. Brunton , Urban Fasel

This paper considers the design of structures made of engineered materials, accounting for uncertainty in material properties. We present a topology optimization approach that optimizes the structural shape and topology at the macroscale…

Optimization and Control · Mathematics 2021-10-27 Subhayan De , Kurt Maute , Alireza Doostan

Designing functional materials requires a deep search through multidimensional spaces for system parameters that yield desirable material properties. For cases where conventional parameter sweeps or trial-and-error sampling are impractical,…

Materials Science · Physics 2022-03-22 Sanket Kadulkar , Zachary M. Sherman , Venkat Ganesan , Thomas M. Truskett

In this paper, the first large-scale application of multiscale-spectral generalized finite element methods (MS-GFEM) to composite aero-structures is presented. The crucial novelty lies in the introduction of A-harmonicity in the local…

Numerical Analysis · Mathematics 2023-03-03 Jean Bénézech , Linus Seelinger , Peter Bastian , Richard Butler , Timothy Dodwell , Chupeng Ma , Robert Scheichl

Data science, and machine learning in particular, is rapidly transforming the scientific and industrial landscapes. The aerospace industry is poised to capitalize on big data and machine learning, which excels at solving the types of…

Modelling MEMS involves a variety of software tools that deal with the analysis of complex geometrical structures and the assessment of various interactions among different energy domains and components. Moreover, the MEMS market is growing…

Other Computer Science · Computer Science 2008-12-18 Mustafa Calis , Omar Laghrouche , Marc Desmulliez

Computational stress analysis is an important step in the design of material systems. Finite element method (FEM) is a standard approach of performing stress analysis of complex material systems. A way to accelerate stress analysis is to…

Materials Science · Physics 2023-01-02 Anindya Bhaduri , Ashwini Gupta , Lori Graham-Brady

Physics-guided approaches offer a promising path toward accurate and generalisable impact identification in composite structures, especially when experimental data are sparse. This paper presents a hybrid framework for impact localisation…

Data Analysis, Statistics and Probability · Physics 2026-02-24 Dong Xiao , Zahra Sharif-Khodaei , M. H. Aliabadi

The finite element method (FEM) is among the most commonly used numerical methods for solving engineering problems. Due to its computational cost, various ideas have been introduced to reduce computation times, such as domain decomposition,…

Computational Engineering, Finance, and Science · Computer Science 2019-11-07 Andrea Mendizabal , Pablo Márquez-Neila , Stéphane Cotin