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Numerical simulation of steady-state heat conduction is common for thermal engineering. The simulation process usually involves mathematical formulation, numerical discretization and iteration of discretized ordinary or partial differential…

应用物理 · 物理学 2020-10-09 Jiang-Zhou Peng , Xianglei Liu , Nadine Aubry , Zhihua Chen , Wei-Tao Wu

Constitutive and closure models play important roles in computational mechanics and computational physics in general. Classical constitutive models for solid and fluid materials are typically local, algebraic equations or flow rules…

流体动力学 · 物理学 2021-06-16 Xu-Hui Zhou , Jiequn Han , Heng Xiao

We describe a framework that can integrate prior physical information, e.g., the presence of kinematic constraints, to support data-driven simulation in multi-body dynamics. Unlike other approaches, e.g., Fully-connected Neural Network…

计算工程、金融与科学 · 计算机科学 2024-07-12 Jingquan Wang , Shu Wang , Huzaifa Mustafa Unjhawala , Jinlong Wu , Dan Negrut

Accurate constitutive models of soft materials are crucial for understanding their mechanical behavior and ensuring reliable predictions in the design process. To this end, scientific machine learning research has produced flexible and…

计算工程、金融与科学 · 计算机科学 2025-03-04 Adrian Buganza Tepole , Asghar Jadoon , Manuel Rausch , Jan N. Fuhg

With electric power systems becoming more compact and increasingly powerful, the relevance of thermal stress especially during overload operation is expected to increase ceaselessly. Whenever critical temperatures cannot be measured…

机器学习 · 计算机科学 2022-11-03 Wilhelm Kirchgässner , Oliver Wallscheid , Joachim Böcker

As a surrogate for computationally intensive meso-scale simulation of woven composites, this article presents Recurrent Neural Network (RNN) models. Leveraging the power of transfer learning, the initialization challenges and sparse data…

材料科学 · 物理学 2024-07-08 Ehsan Ghane , Martin Fagerström , Mohsen Mirkhalaf

Nature has always been our inspiration in the research, design and development of materials and has driven us to gain a deep understanding of the mechanisms that characterize anisotropy and inelastic behavior. All this knowledge has been…

机器学习 · 计算机科学 2024-06-05 Hagen Holthusen , Lukas Lamm , Tim Brepols , Stefanie Reese , Ellen Kuhl

The major challenge in determining a hyperelastic model for a given material is the choice of invariants and the selection how the strain energy function depends functionally on these invariants. Here we introduce a new data-driven…

软凝聚态物质 · 物理学 2025-09-19 Denisa Martonová , Alain Goriely , Ellen Kuhl

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.…

定量方法 · 定量生物学 2021-07-13 Vahidullah Tac , Vivek D. Sree , Manuel K. Rausch , Adrian B. Tepole

Data-driven constitutive modeling with neural networks has received increased interest in recent years due to its ability to easily incorporate physical and mechanistic constraints and to overcome the challenging and time-consuming task of…

计算工程、金融与科学 · 计算机科学 2023-10-06 Jan N. Fuhg , Reese E. Jones , Nikolaos Bouklas

In this paper, based on neural networks, we develop a data-driven model for extremely fast prediction of steady-state heat convection of a hot object with arbitrary complex geometry in a two-dimensional space. According to the governing…

应用物理 · 物理学 2021-01-12 Jiang-Zhou Peng , Xianglei Liu , Nadine Aubry , Zhihua Chen , Wei-Tao Wu

We propose a data-driven constitutive framework for anisotropic damage mechanics based on the second-order damage tensor approach for both compressible and incompressible materials. The formulation is thermodynamically consistent and…

应用物理 · 物理学 2025-08-11 Amirhossein Amiri-Hezaveh , Adrian Buganza Tepole

Accurate models are essential for design, performance prediction, control, and diagnostics in complex engineering systems. Physics-based models excel during the design phase but often become outdated during system deployment due to changing…

机器学习 · 计算机科学 2025-01-22 Zihan Liu , Prashant N. Kambali , C. Nataraj

This study introduces PV-RNN, a novel variational RNN inspired by the predictive-coding ideas. The model learns to extract the probabilistic structures hidden in fluctuating temporal patterns by dynamically changing the stochasticity of its…

机器学习 · 计算机科学 2019-06-26 Ahmadreza Ahmadi , Jun Tani

Soft biological tissues exhibit a tendency to maintain a preferred state of tensile stress, known as tensional homeostasis, which is restored even after external mechanical stimuli. This macroscopic behavior can be described using the…

机器学习 · 计算机科学 2025-01-23 Hagen Holthusen , Tim Brepols , Kevin Linka , Ellen Kuhl

Accurately modeling quantum dissipative dynamics remains challenging due to environmental complexity and non-Markovian memory effects. Although machine learning provides a promising alternative to conventional simulation techniques, most…

化学物理 · 物理学 2026-03-18 Muhammad Atif , Arif Ullah , Ming Yang

Although considerable attention has been devoted to the development of models for isothermal, rate-independent plasticity, many high-consequence performance assessments involve viscoplastic processes that generate substantial heat. In…

材料科学 · 物理学 2025-12-11 Reese E. Jones , Asghar Jadoon , D. Thomas Seidl , Jan N. Fuhg

Data-driven methods have become increasingly more prominent for musculoskeletal modelling due to their conceptually intuitive simple and fast implementation. However, the performance of a pre-trained data-driven model using the data from…

信号处理 · 电气工程与系统科学 2022-11-23 Jie Zhang , Yihui Zhao , Tianzhe Bao , Zhenhong Li , Kun Qian , Alejandro F. Frangi , Sheng Quan Xie , Zhi-Qiang Zhang

Data-driven models based on deep learning algorithms intend to overcome the limitations of traditional constitutive modelling by directly learning from data. However, the need for extensive data that collate the full state of the material…

材料科学 · 物理学 2023-12-27 Filippo Masi , Itai Einav

Regression machine learning is widely applied to predict various materials. However, insufficient materials data usually leads to a poor performance. Here, we develop a new voting data-driven method that could generally improve the…

材料科学 · 物理学 2020-12-22 Xing-Yu Ma , Hou-Yi Lyu , Xue-Juan Dong , Zhen Zhang , Kuan-Rong Hao , Qing-Bo Yan , Gang Su