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The ability to predict trajectories of surrounding agents and obstacles is a crucial component in many robotic applications. Data-driven approaches are commonly adopted for state prediction in scenarios where the underlying dynamics are…

Robotics · Computer Science 2025-04-28 Kaiyuan Tan , Peilun Li , Jun Wang , Thomas Beckers

We develop a new neural network architecture that strictly enforces constitutive constraints such as polyconvexity, frame-indifference, and the symmetry of the stress and material stiffness. Additionally, we show that the accuracy of the…

Biological Physics · Physics 2024-12-05 Nishan Parvez , Jacob S. Merson

Physics-informed machine learning (PIML) provides a promising solution for building energy modeling and can serve as a virtual environment to enable reinforcement learning (RL) agents to interact and learn. However, challenges remain in…

Systems and Control · Electrical Eng. & Systems 2025-12-16 Zixin Jiang , Xuezheng Wang , Bing Dong

We present a physics-based neural network framework for the discovery of constitutive models in fully coupled thermomechanics. In contrast to classical formulations based on the Helmholtz energy, we adopt the internal energy and a…

Computational Engineering, Finance, and Science · Computer Science 2026-05-25 Hagen Holthusen , Paul Steinmann , Ellen Kuhl

Identifying constitutive parameters in engineering and biological materials, particularly those with intricate geometries and mechanical behaviors, remains a longstanding challenge. The recent advent of Physics-Informed Neural Networks…

Materials Science · Physics 2024-06-25 Siyuan Song , Hanxun Jin

Real-time simulation of elastic structures is essential in many applications, from computer-guided surgical interventions to interactive design in mechanical engineering. The Finite Element Method is often used as the numerical method of…

Machine Learning · Computer Science 2021-09-21 Alban Odot , Ryadh Haferssas , Stéphane Cotin

Deep kernel learning is a promising combination of deep neural networks and nonparametric function learning. However, as a data driven approach, the performance of deep kernel learning can still be restricted by scarce or insufficient data,…

Machine Learning · Statistics 2022-01-20 Zheng Wang , Wei Xing , Robert Kirby , Shandian Zhe

As a nonlocal extension of continuum mechanics, peridynamics has been widely and effectively applied in different fields where discontinuities in the field variables arise from an initially continuous body. An important component of the…

Numerical Analysis · Mathematics 2021-09-22 Xiao Xu , Marta D'Elia , John T. Foster

For many systems in science and engineering, the governing differential equation is either not known or known in an approximate sense. Analyses and design of such systems are governed by data collected from the field and/or laboratory…

Machine Learning · Computer Science 2021-02-03 Souvik Chakraborty

We present a multimodal deep learning (MDL) framework for predicting physical properties of a 10-dimensional acrylic polymer composite material by merging physical attributes and chemical data. Our MDL model comprises four modules,…

Soft Condensed Matter · Physics 2023-11-28 Shun Muroga , Yasuaki Miki , Kenji Hata

We propose a physics informed, neural network-based elasto-viscoplasticity (NN-EVP) constitutive modeling framework for predicting the flow response in metals as a function of underlying grain size. The developed NN-EVP algorithm is based…

Computational Engineering, Finance, and Science · Computer Science 2023-07-11 Adnan Eghtesad , Jan Niklas Fuhg , Nikolaos Bouklas

A deep learning model is employed to address the challenging problem of V2O5 nanoparticle segmentation and the correlation between the chemical composition and the geometrical features of lithiated V2O5 nanoparticles as an exemplar of a…

Data driven materials discovery and optimization requires databases that are error free and experimentally verified. Performing material measurements are time-consuming and often restricted by the fact that material sample preparations are…

Materials Science · Physics 2020-03-30 Ning Liu , Achintha Ihalage , Hangfeng Zhang , Henry Giddens , Haixue Yan , Yang Hao

We present a novel deep learning (DL) approach to produce highly accurate predictions of macroscopic physical properties of solid solution binary alloys and magnetic systems. The major idea is to make use of the correlations between…

Computational Physics · Physics 2021-01-29 Massimiliano Lupo Pasini , Ying Wai Li , Junqi Yin , Jiaxin Zhang , Kipton Barros , Markus Eisenbach

We propose a new approach for unsupervised learning of hyperelastic constitutive laws with physics-consistent deep neural networks. In contrast to supervised learning, which assumes the availability of stress-strain pairs, the approach only…

Machine Learning · Computer Science 2022-10-11 Prakash Thakolkaran , Akshay Joshi , Yiwen Zheng , Moritz Flaschel , Laura De Lorenzis , Siddhant Kumar

A constitutive model is developed to predict the viscoelastic response of polyimide resins that are used in high temperature applications. This model is based on a thermodynamic framework that uses the notion that the `natural…

Numerical Analysis · Computer Science 2010-10-25 Satish Karra , K. R. Rajagopal

As applications of deep learning (DL) continue to seep into critical scientific use-cases, the importance of performing uncertainty quantification (UQ) with DL has become more pressing than ever before. In scientific applications, it is…

Machine Learning · Computer Science 2021-06-08 Arka Daw , M. Maruf , Anuj Karpatne

Physics-informed machine learning (PIML) is a set of methods and tools that systematically integrate machine learning (ML) algorithms with physical constraints and abstract mathematical models developed in scientific and engineering…

For multilayer materials in thin substrate systems, interfacial failure is one of the most challenges. The traction-separation relations (TSR) quantitatively describe the mechanical behavior of a material interface undergoing openings,…

Computational Engineering, Finance, and Science · Computer Science 2020-12-01 Jiaxin Zhang , Congjie Wei , Chenglin Wu

Physics-informed deep learning has been developed as a novel paradigm for learning physical dynamics recently. While general physics-informed deep learning methods have shown early promise in learning fluid dynamics, they are difficult to…

Fluid Dynamics · Physics 2024-06-07 Jing Qiu , Jiancheng Huang , Xiangdong Zhang , Zeng Lin , Minglei Pan , Zengding Liu , Fen Miao