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The elastic properties of materials derive from their electronic and atomic nature. However, simulating bulk materials fully at these scales is not feasible, so that typically homogenized continuum descriptions are used instead. A seamless…

材料科学 · 物理学 2021-08-09 Jaber Rezaei Mianroodi , Shahed Rezaei , Nima H. Siboni , Bai-Xiang Xu , Dierk Raabe

The high-fidelity characterization of soft, tissue-like materials under ultra-high-strain-rate conditions is critical in engineering and medicine. Still, it remains challenging due to limited optical access, sensitivity to initial…

The present paper is the second part of a twofold work, whose first part is reported in [3], concerning a newly developed Virtual Element Method (VEM) for 2D continuum problems. The first part of the work proposed a study for linear elastic…

数值分析 · 数学 2018-10-24 Edoardo Artioli , Lourenco Beirão da Veiga , Carlo Lovadina , Elio Sacco

Constitutive models are fundamental to solid mechanics and materials science, underpinning the quantitative description and prediction of material responses under diverse loading conditions. Traditional phenomenological models, which are…

材料科学 · 物理学 2025-11-14 Hao Xu , Yuntian Chen , Dongxiao Zhang

Magneto-active elastomers exhibit large, nonlinear deformations under combined mechanical loading and magnetic fields, and their effective behavior is strongly governed by microstructural heterogeneity. Predictive modeling of these…

计算工程、金融与科学 · 计算机科学 2026-03-30 L. River Spencer , Manuel K. Rausch , Chad M. Landis , Jan N. Fuhg

This study presents an integrated computational framework that, given synthesis parameters, predicts the resulting microstructural morphology and mechanical response of ceramic aerogel porous materials by combining physics-based simulations…

计算工程、金融与科学 · 计算机科学 2025-06-10 Md Azharul Islam , Dwyer Deighan , Shayan Bhattacharjee , Daniel Tantalo , Pratyush Kumar Singh , David Salac , Danial Faghihi

We present a learning theory for the training of a linear system operator having an input compositional variable and propose a Bayesian inversion method for inferring the unknown variable from an output of a noisy linear system. We assume…

机器学习 · 统计学 2018-07-03 Se Un Park

This study presents an end-to-end learning framework for data-driven modeling of path-dependent inelastic materials using neural operators. The framework is built on the premise that irreversible evolution of material responses, governed by…

机器学习 · 计算机科学 2025-09-03 Binyao Guo , Zihan Lin , QiZhi He

Modeling the full-range deformation behaviors of materials under complex loading and materials conditions is a significant challenge for constitutive relations (CRs) modeling. We propose a general encoder-decoder deep learning framework…

材料科学 · 物理学 2023-04-04 Qing-Jie Li , Mahmut Nedim Cinbiz , Yin Zhang , Qi He , Geoffrey Beausoleil , Ju Li

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…

机器学习 · 计算机科学 2022-06-07 Reza Sepasdar , Anuj Karpatne , Maryam Shakiba

How can agents learn internal models that veridically represent interactions with the real world is a largely open question. As machine learning is moving towards representations containing not just observational but also interventional…

机器学习 · 计算机科学 2024-07-03 Hamza Keurti , Hsiao-Ru Pan , Michel Besserve , Benjamin F. Grewe , Bernhard Schölkopf

When characterizing materials, it can be important to not only predict their mechanical properties, but also to estimate the probability distribution of these properties across a set of samples. Constitutive neural networks allow for the…

计算工程、金融与科学 · 计算机科学 2025-03-18 Jeremy A. McCulloch , Ellen Kuhl

For many materials, macroscopic mechanical behavior is determined by an intricate microstructure. Understanding the relation between these two scales helps scientists and engineers design better materials. The relation which maps…

计算物理 · 物理学 2026-05-13 Arnaud Vadeboncoeur , Mark Girolami , Kaushik Bhattacharya , Andrew M. Stuart

In this work, we propose a deep learning (DL)-based constitutive model for investigating the cyclic viscoelastic-viscoplastic-damage behavior of nanoparticle/epoxy nanocomposites with moisture content. For this, a long short-term memory…

机器学习 · 计算机科学 2024-03-27 Betim Bahtiri , Behrouz Arash , Sven Scheffler , Maximilian Jux , Raimund Rolfes

We develop a learning framework for building deformable templates, which play a fundamental role in many image analysis and computational anatomy tasks. Conventional methods for template creation and image alignment to the template have…

计算机视觉与模式识别 · 计算机科学 2019-10-14 Adrian V. Dalca , Marianne Rakic , John Guttag , Mert R. Sabuncu

Liquid composites moulding is an important manufacturing technology for fibre reinforced composites, due to its cost-effectiveness. Challenges lie in the optimisation of the process due to the lack of understanding of key characteristic of…

流体动力学 · 物理学 2024-12-03 Christina Runkel , Sinan Xiao , Nicolas Boullé , Yang Chen

The problem of generating microstructures of complex materials in silico has been approached from various directions including simulation, Markov, deep learning and descriptor-based approaches. This work presents a hybrid method that is…

Driven by the need to accelerate numerical simulations, the use of machine learning techniques is rapidly growing in the field of computational solid mechanics. Their application is especially advantageous in concurrent multiscale finite…

数值分析 · 数学 2023-03-22 M. A. Maia , I. B. C. M. Rocha , P. Kerfriden , F. P. van der Meer

Unsupervised learning enables modeling complex images without the need for annotations. The representation learned by such models can facilitate any subsequent analysis of large image datasets. However, some generative factors that cause…

图像与视频处理 · 电气工程与系统科学 2020-08-27 Maxime W. Lafarge , Josien P. W. Pluim , Mitko Veta

In Materials Science, material development involves evaluating and optimizing the internal structures of the material, generically referred to as microstructures. Microstructures structure is stochastic, analogously to image textures. A…

机器学习 · 计算机科学 2024-08-06 Sayed Sajad Hashemi , Michael Guerzhoy , Noah H. Paulson