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Traditional computational methods, such as the finite element analysis, have provided valuable insights into uncovering the underlying mechanisms of brain physical behaviors. However, precise predictions of brain physics require effective…

Machine Learning · Computer Science 2023-10-18 Jixin Hou , Nicholas Filla , Xianyan Chen , Mir Jalil Razavi , Tianming Liu , Xianqiao Wang

Delicate cloth simulations have long been desired in computer graphics. Various methods were proposed to improve engaged force interactions, collision handling, and numerical integrations. Deep learning has the potential to achieve fast and…

Graphics · Computer Science 2025-01-20 Zhiwei Zhao

Existing point cloud representation learning methods primarily rely on data-driven strategies to extract geometric information from large amounts of scattered data. However, most methods focus solely on the spatial distribution features of…

Computer Vision and Pattern Recognition · Computer Science 2026-02-06 Zhongyu Chen , Rong Zhao , Xie Han , Xindong Guo , Song Wang , Zherui Qiao

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

Efficient and accurate learning of constitutive laws is crucial for accurately predicting the mechanical behavior of materials under complex loading conditions. Accurate model calibration hinges on a delicate interplay between the…

Computational Engineering, Finance, and Science · Computer Science 2025-06-24 Royal C. Ihuaenyi , Wei Li , Martin Z. Bazant , Juner Zhu

Constitutive modeling lies at the core of mechanics, allowing us to map strains onto stresses for a material in a given mechanical setting. Historically, researchers relied on phenomenological modeling where simple mathematical…

Computational Engineering, Finance, and Science · Computer Science 2024-08-28 Asghar A. Jadoon , Knut A. Meyer , Jan N. Fuhg

Despite the successful implementations of physics-informed neural networks in different scientific domains, it has been shown that for complex nonlinear systems, achieving an accurate model requires extensive hyperparameter tuning, network…

Computational Engineering, Finance, and Science · Computer Science 2022-11-30 Milad Ramezankhani , Amir Nazemi , Apurva Narayan , Heinz Voggenreiter , Mehrtash Harandi , Rudolf Seethaler , Abbas S. Milani

A physics-informed neural network is presented for poroelastic problems with coupled flow and deformation processes. The governing equilibrium and mass balance equations are discussed and specific derivations for two-dimensional cases are…

Computational Engineering, Finance, and Science · Computer Science 2020-10-30 Yared W. Bekele

In this work we present a hybrid physics-based and data-driven learning approach to construct surrogate models for concurrent multiscale simulations of complex material behavior. We start from robust but inflexible physics-based…

Numerical Analysis · Mathematics 2023-02-01 I. B. C. M. Rocha , P. Kerfriden , F. P. van der Meer

Analyzing and modeling the constitutive behavior of materials is a core area in materials sciences and a prerequisite for conducting numerical simulations in which the material behavior plays a central role. Constitutive models have been…

Materials Science · Physics 2023-08-07 Johannes Dornheim , Lukas Morand , Hemanth Janarthanam Nallani , Dirk Helm

We propose a novel approach to model viscoelasticity materials using neural networks, which capture rate-dependent and nonlinear constitutive relations. However, inputs and outputs of the neural networks are not directly observable, and…

Numerical Analysis · Mathematics 2020-05-12 Kailai Xu , Alexandre M. Tartakovsky , Jeff Burghardt , Eric Darve

Constitutive models that describe the mechanical behavior of soft tissues have advanced greatly over the past few decades. These expert models are generalizable and require the calibration of a number of parameters to fit experimental data.…

Quantitative Methods · Quantitative Biology 2021-07-13 Vahidullah Tac , Vivek D. Sree , Manuel K. Rausch , Adrian B. Tepole

Current methods of estimating the change in stress caused by injecting fluid into subsurface formations require choosing the type of constitutive model and the model parameters based on core, log, and geophysical data during the…

Geophysics · Physics 2021-09-28 Jeff Burghardt , Ting Bao , Kailai Xu , Alexandre Tartakovsky , Eric Darve

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

This work presents a physics-informed neural network approach bridging deep-learning force field and electronic structure simulations, illustrated through twisted two-dimensional large-scale material systems. The deep potential molecular…

Materials Science · Physics 2024-04-02 Yubo Qi , Weiyi Gong , Qimin Yan

Harnessing data to discover the underlying governing laws or equations that describe the behavior of complex physical systems can significantly advance our modeling, simulation and understanding of such systems in various science and…

Machine Learning · Computer Science 2021-11-17 Zhao Chen , Yang Liu , Hao Sun

The application of deep learning toward discovery of data-driven models requires careful application of inductive biases to obtain a description of physics which is both accurate and robust. We present here a framework for discovering…

Computational Physics · Physics 2020-12-02 Ravi G. Patel , Nathaniel A. Trask , Mitchell A. Wood , Eric C. Cyr

In this work, we characterized the material properties of an animal model of the rotator cuff tendon using full volume datasets of both its intact and injured states by capturing internal strain behavior throughout the tendon. Our…

This work presents a two-stage physics-informed, data-driven constitutive modeling framework for hyperelastic soft materials undergoing progressive damage and failure. The framework is grounded in the concept of hyperelasticity with energy…

Computational Engineering, Finance, and Science · Computer Science 2026-02-13 Kshitiz Upadhyay

Understanding and predicting microstructure evolution is fundamental to materials science, as it governs the resulting properties and performance of materials. Traditional simulation methods, such as phase-field models, offer high-fidelity…

Machine Learning · Computer Science 2026-02-24 Michael Trimboli , Mohammed Alsubaie , Sirani M. Perera , Ke-Gang Wang , Xianqi Li