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In the present work, neural networks are applied to formulate parametrised hyperelastic constitutive models. The models fulfill all common mechanical conditions of hyperelasticity by construction. In particular, partially input-convex…

计算工程、金融与科学 · 计算机科学 2023-07-10 Dominik K. Klein , Fabian J. Roth , Iman Valizadeh , Oliver Weeger

The effectiveness of recurrent neural networks can be largely influenced by their ability to store into their dynamical memory information extracted from input sequences at different frequencies and timescales. Such a feature can be…

机器学习 · 计算机科学 2020-07-01 Antonio Carta , Alessandro Sperduti , Davide Bacciu

We present a data-driven framework for the multiscale modeling of anisotropic finite strain elasticity based on physics-augmented neural networks (PANNs). Our approach allows the efficient simulation of materials with complex underlying…

计算工程、金融与科学 · 计算机科学 2024-10-07 Karl A. Kalina , Jörg Brummund , WaiChing Sun , Markus Kästner

Disordered filamentous networks with compliant crosslinks exhibit a low linear elastic shear modulus at small strains, but stiffen dramatically at high strains. Experiments have shown that the elastic modulus can increase by up to three…

In this paper we propose a method to generate suitably refined finite element meshes using neural networks. As a model problem we consider a linear elasticity problem on a planar domain (possibly with holes) having a polygonal boundary. We…

数值分析 · 数学 2022-03-16 Chiu Ling Chan , Felix Scholz , Thomas Takacs

Deep neural networks have achieved impressive performance in a wide variety of medical imaging tasks. However, these models often fail on data not used during training, such as data originating from a different medical centre. How to…

图像与视频处理 · 电气工程与系统科学 2022-12-05 Joona Pohjonen , Carolin Stürenberg , Atte Föhr , Reija Randen-Brady , Lassi Luomala , Jouni Lohi , Esa Pitkänen , Antti Rannikko , Tuomas Mirtti

Musculoskeletal models have been widely used for detailed biomechanical analysis to characterise various functional impairments given their ability to estimate movement variables (i.e., muscle forces and joint moment) which cannot be…

信号处理 · 电气工程与系统科学 2022-07-05 Jie Zhang , Yihui Zhao , Fergus Shone , Zhenhong Li , Alejandro F. Frangi , Shengquan Xie , Zhiqiang Zhang

We propose physics-informed holomorphic neural networks (PIHNNs) as a method to solve boundary value problems where the solution can be represented via holomorphic functions. Specifically, we consider the case of plane linear elasticity…

计算工程、金融与科学 · 计算机科学 2024-09-30 Matteo Calafà , Emil Hovad , Allan P. Engsig-Karup , Tito Andriollo

A microscopic description of the interaction of atomic nuclei with external electroweak probes is required for elucidating aspects of short-range nuclear dynamics and for the correct interpretation of neutrino oscillation experiments.…

Recent investigations of traumatic brain injuries have shown that these injuries can result in conformational changes at the level of individual neurons in the cerebral cortex. Focal axonal swelling is one consequence of such injuries and…

神经元与认知 · 定量生物学 2023-04-04 Brian L. Frost , Stanislav M. Mintchev

Deep neural networks have enabled improved image quality and fast inference times for various inverse problems, including accelerated magnetic resonance imaging (MRI) reconstruction. However, such models require a large number of…

图像与视频处理 · 电气工程与系统科学 2022-06-20 Arjun D Desai , Beliz Gunel , Batu M Ozturkler , Harris Beg , Shreyas Vasanawala , Brian A Hargreaves , Christopher Ré , John M Pauly , Akshay S Chaudhari

Compressive imaging aims to recover a latent image from under-sampled measurements, suffering from a serious ill-posed inverse problem. Recently, deep neural networks have been applied to this problem with superior results, owing to the…

图像与视频处理 · 电气工程与系统科学 2021-10-26 Yixiao Yang , Ran Tao , Kaixuan Wei , Ying Fu

We introduce HyperCAN, a machine learning framework that utilizes hypernetworks to construct adaptable constitutive artificial neural networks for a wide range of beam-based metamaterials exhibiting diverse mechanical behavior under finite…

计算工程、金融与科学 · 计算机科学 2024-10-30 Li Zheng , Dennis M. Kochmann , Siddhant Kumar

We introduce a deep learning framework designed to train smoothed elastoplasticity models with interpretable components, such as a smoothed stored elastic energy function, a yield surface, and a plastic flow that are evolved based on a set…

机器学习 · 计算机科学 2020-10-23 Nikolaos N. Vlassis , WaiChing Sun

Disordered elastic networks are a model material system in which it is possible to achieve tunable and trainable functions. This work investigates the modification of local mechanical properties in disordered networks inspired by allosteric…

软凝聚态物质 · 物理学 2025-01-10 Savannah D. Gowen

Machine learning techniques including neural networks are popular tools for materials and chemical scientists with applications that may provide viable alternative methods in the analysis of structure and energetics of systems ranging from…

统计力学 · 物理学 2022-03-02 James Andrews , Olga Gkountouna , Estela Blaisten-Barojas

This article presents a general framework for recovering missing dynamical systems using available data and machine learning techniques. The proposed framework reformulates the prediction problem as a supervised learning problem to…

数值分析 · 数学 2020-10-20 John Harlim , Shixiao W. Jiang , Senwei Liang , Haizhao Yang

This paper proposes a methodology to estimate stress in the subsurface by a hybrid method combining finite element modeling and neural networks. This methodology exploits the idea of obtaining a multi-frequency solution in the numerical…

机器学习 · 计算机科学 2020-08-27 Xavier Garcia , Adrian Rodriguez-Herrera

Due to the brittle feature of carbon fiber reinforced plastic laminates, mechanical multi-joint within these composite components show uneven load distribution for each bolt, which weaken the strength advantage of composite laminates. In…

机器学习 · 计算机科学 2021-05-18 Cheng Qiu , Yuzi Han , Logesh Shanmugam , Fengyang Jiang , Zhidong Guan , Shanyi Du , Jinglei Yang

This paper proposes a meshless deep learning algorithm, enriched physics-informed neural networks (EPINNs), to solve dynamic Poisson-Nernst-Planck (PNP) equations with strong coupling and nonlinear characteristics. The EPINNs takes the…

机器学习 · 计算机科学 2024-02-06 Xujia Huang , Fajie Wang , Benrong Zhang , Hanqing Liu