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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

In multiscale modelling, multiple models are used simultaneously to describe scale-dependent phenomena in a system of interest. Here we introduce a machine learning (ML)-based multiscale modelling framework for modelling hierarchical…

Geophysics · Physics 2022-04-13 Mark Ashworth , Ahmed Elsheikh , Florian Doster

Effective properties of materials with random heterogeneous structures are typically determined by homogenising the mechanical quantity of interest in a window of observation. The entire problem setting encompasses the solution of a local…

Numerical Analysis · Mathematics 2021-10-22 Felipe Rocha , Simone Deparis , Pablo Antolin , Annalisa Buffa

Simulating the mechanical response of advanced materials can be done more accurately using concurrent multiscale models than with single-scale simulations. However, the computational costs stand in the way of the practical application of…

Machine Learning · Computer Science 2024-02-21 J. Storm , I. B. C. M. Rocha , F. P. van der Meer

The local geometrical randomness of metal foams brings complexities to the performance prediction of porous structures. Although the relative density is commonly deemed as the key factor, the stochasticity of internal cell sizes and shapes…

Machine Learning · Computer Science 2022-11-04 Da Chen , Nima Emami , Shahed Rezaei , Philipp L. Rosendahl , Bai-Xiang Xu , Jens Schneider , Kang Gao , Jie Yang

We present a scalable machine learning (ML) framework for predicting intensive properties and particularly classifying phases of many-body systems. Scalability and transferability are central to the unprecedented computational efficiency of…

Statistical Mechanics · Physics 2024-06-18 Zhongzheng Tian , Sheng Zhang , Gia-Wei Chern

A general-purpose computational homogenization framework is proposed for the nonlinear dynamic analysis of membranes exhibiting complex microscale and/or mesoscale heterogeneity characterized by in-plane periodicity that cannot be…

Computational Engineering, Finance, and Science · Computer Science 2021-01-28 Philip Avery , Daniel Z. Huang , Wanli He , Johanna Ehlers , Armen Derkevorkian , Charbel Farhat

Topologically interlocking architectures can generate tough ceramics with attractive thermo-mechanical properties. This concept can make the material design pathway a challenging task, since modeling the whole design space is neither…

Computational Engineering, Finance, and Science · Computer Science 2023-05-22 Elham Kiyani , Hamidreza Yazdani Sarvestani , Hossein Ravanbakhsh , Razyeh Behbahani , Behnam Ashrafi , Meysam Rahmat , Mikko Karttunen

Machine Learning (ML) is of increasing interest for modeling parametric effects in manufacturing processes. But this approach is limited to established processes for which a deep physics-based understanding has been developed over time,…

Machine Learning · Computer Science 2023-08-15 Jeremy Cleeman , Kian Agrawala , Rajiv Malhotra

The mechanical behavior of inelastic materials with microstructure is very complex and hard to grasp with heuristic, empirical constitutive models. For this purpose, multiscale, homogenization approaches are often used for performing…

Materials Science · Physics 2022-06-22 Filippo Masi , Ioannis Stefanou

The heterogeneous micromechanical properties of biological tissues have profound implications across diverse medical and engineering domains. However, identifying full-field heterogeneous elastic properties of soft materials using…

Numerical Analysis · Mathematics 2025-07-09 Wensi Wu , Mitchell Daneker , Kevin T. Turner , Matthew A. Jolley , Lu Lu

We use Machine Learning (ML) and system identification validation approaches to estimate neural network models of large-scale Deformable Mirrors (DMs) used in Adaptive Optics (AO) systems. To obtain the training, validation, and test data…

Systems and Control · Electrical Eng. & Systems 2019-11-19 Aleksandar Haber

Spinodal metamaterials, with architectures inspired by natural phase-separation processes, have presented a significant alternative to periodic and symmetric morphologies when designing mechanical metamaterials with extreme performance.…

Computational Engineering, Finance, and Science · Computer Science 2025-01-10 Prakash Thakolkaran , Michael A. Espinal , Somayajulu Dhulipala , Siddhant Kumar , Carlos M. Portela

Concurrent multiscale finite element analysis (FE2) is a powerful approach for high-fidelity modeling of materials for which a suitable macroscopic constitutive model is not available. However, the extreme computational effort associated…

Numerical Analysis · Mathematics 2020-07-16 I. B. C. M. Rocha , P. Kerfriden , F. P. van der Meer

A supervised machine learning (ML) based computational methodology for the design of particulate multifunctional composite materials with desired thermal conductivity (TC) is presented. The design variables are physical descriptors of the…

Computational Physics · Physics 2025-07-25 Mohammad Saber Hashemi , Masoud Safdari , Azadeh Sheidaei

Two-dimensional (2D) materials have been a central focus of recent research because they host a variety of properties, making them attractive both for fundamental science and for applications. It is thus crucial to be able to identify…

Materials Science · Physics 2022-11-18 Mohammad Tohidi Vahdat , Kumar Agrawal Varoon , Giovanni Pizzi

It is important to develop sustainable processes in materials science and manufacturing that are environmentally friendly. AI can play a significant role in decision support here as evident from our earlier research leading to tools…

Artificial Intelligence · Computer Science 2023-03-27 Aparna S. Varde , Jianyu Liang

We use machine learning (ML) to infer stress and plastic flow rules using data from repre- sentative polycrystalline simulations. In particular, we use so-called deep (multilayer) neural networks (NN) to represent the two response…

Computational Physics · Physics 2018-09-05 Reese E. Jones , Jeremy A. Templeton , Clay M. Sanders , Jakob T. Ostien

We propose a deep neural network (DNN) as a fast surrogate model for local stress (and in principle strain) calculation in inhomogeneous non-linear material systems. We show that the DNN predicts the local stresses with about 3.8% mean…

Materials Science · Physics 2021-03-17 Jaber Rezaei Mianroodi , Nima H. Siboni , Dierk Raabe

This work presents a multi-level modeling and design framework for weft knitted fabrics, beginning with a volumetric finite element analysis capturing their mechanical behavior from fundamental principles. Incorporating yarn-level data, it…