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Related papers: Data Driven Modeling of Interfacial Traction Separ…

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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

Characterization and modeling of path-dependent behaviors of complex materials by phenomenological models remains challenging due to difficulties in formulating mathematical expressions and internal state variables (ISVs) governing…

Numerical Analysis · Mathematics 2022-08-23 Xiaolong He , Jiun-Shyan Chen

A fundamental issue in multiscale materials modeling and design is the consideration of traction-separation behavior at the interface. By enriching the deep material network (DMN) with cohesive layers, the paper presents a novel data-driven…

Materials Science · Physics 2020-02-19 Zeliang Liu

We applied physics-informed neural networks to solve the constitutive relations for nonlinear, path-dependent material behavior. As a result, the trained network not only satisfies all thermodynamic constraints but also instantly provides…

Computational Engineering, Finance, and Science · Computer Science 2023-09-07 Shahed Rezaei , Ahmad Moeineddin , Ali Harandi

Machine Learning methods and, in particular, Artificial Neural Networks (ANNs) have demonstrated promising capabilities in material constitutive modeling. One of the main drawbacks of such approaches is the lack of a rigorous frame based on…

Machine Learning · Computer Science 2020-12-18 Filippo Masi , Ioannis Stefanou , Paolo Vannucci , Victor Maffi-Berthier

Recent advances in physics-augmented neural networks have enabled thermodynamically consistent data-driven constitutive modeling of complex inelastic materials. Most existing approaches, however, implicitly adopt a specific thermodynamic…

Materials Science · Physics 2026-05-28 Reese E. Jones , Jan N. Fuhg

Continuous-Time Recurrent Neural Networks (CTRNNs) have been widely used for their capacity to model complex temporal behaviour. However, their internal dynamics often remain difficult to interpret. In this paper, we propose a new class of…

Disordered Systems and Neural Networks · Physics 2025-11-17 Miguel Aguilera , Daniele De Martino , Ivan Garashchuk , Dmitry Sinelshchikov

Physics-constrained neural networks are commonly employed to enhance prediction robustness compared to purely data-driven models, achieved through the inclusion of physical constraint losses during the model training process. However, one…

Machine Learning · Computer Science 2024-02-06 Hao Zhou , Sibo Cheng , Rossella Arcucci

Transient stability prediction is critically essential to the fast online assessment and maintaining the stable operation in power systems. The wide deployment of phasor measurement units (PMUs) promotes the development of data-driven…

Systems and Control · Electrical Eng. & Systems 2025-09-23 Peiyuan Sun , Long Huo , Siyuan Liang , Xin Chen

Machine learning approaches informed by physics have offered new insights into the discovery of constitutive models from data, helping overcome some limitations of traditional constitutive modelling while reducing the cost of otherwise…

Materials Science · Physics 2026-05-19 Filippo Masi

The on-wing engine performance is difficult to track for thermodynamic models because of its inaccurate component maps, and also difficult for data driven methods for their over-fitting to measurement errors. So, we propose a thermodynamic…

Systems and Control · Electrical Eng. & Systems 2021-06-02 Likun Ren

Accurately modeling the mechanical behavior of materials is crucial for numerous engineering applications. The quality of these models depends directly on the accuracy of the constitutive law that defines the stress-strain relation.…

Materials Science · Physics 2025-03-18 Zhichao Han , Mohit Pundir , Olga Fink , David S. Kammer

Soft tissue simulation in virtual environments is becoming increasingly important for medical applications. However, the high deformability of soft tissue poses significant challenges. Existing methods rely on segmentation, meshing and…

Machine Learning · Computer Science 2025-08-08 Madina Kojanazarova , Florentin Bieder , Robin Sandkühler , Philippe C. Cattin

Most of our current understanding of phase separation is based on ideas that disregard correlaions. Here we illuminate unexpected effects of correlations on the structure and thermodynamics of interfaces and in turn phase separation, which…

Statistical Mechanics · Physics 2024-03-15 Kristian Blom , Noah Ziethen , David Zwicker , Aljaž Godec

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…

Applied Physics · Physics 2021-01-12 Jiang-Zhou Peng , Xianglei Liu , Nadine Aubry , Zhihua Chen , Wei-Tao Wu

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

Plastic anisotropy in metals remains challenging to model. This is partly because conventional phenomenological yield criteria struggle to combine a highly descriptive, flexible representation with constraints, such as convexity, dictated…

Computational Engineering, Finance, and Science · Computer Science 2025-08-25 Asghar A. Jadoon , Ravi G. Patel , Brian N. Granzow , Reese E. Jones , D. Thomas Seidl , Jan N. Fuhg

Physics-constrained data-driven computing is an emerging computational paradigm that allows simulation of complex materials directly based on material database and bypass the classical constitutive model construction. However, it remains…

Numerical Analysis · Mathematics 2022-09-12 Xiaolong He , Qizhi He , Jiun-Shyan Chen

A thermodynamically motivated neural network model is described that self-organizes to transport charge associated with internal and external potentials while in contact with a thermal reservoir. The model integrates techniques for rapid,…

Neurons and Cognition · Quantitative Biology 2020-04-22 Todd Hylton

Rigid body interactions are fundamental to numerous scientific disciplines, but remain challenging to simulate due to their abrupt nonlinear nature and sensitivity to complex, often unknown environmental factors. These challenges call for…

Machine Learning · Computer Science 2025-07-28 Amaury Wei , Olga Fink
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