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We propose a physics-augmented neural network (PANN) framework for finite strain incompressible viscoelasticity within the generalized standard materials theory. The formulation is based on the multiplicative decomposition of the…

Computational Engineering, Finance, and Science · Computer Science 2025-11-06 Karl A. Kalina , Jörg Brummund , Markus Kästner

We apply physics-augmented neural network (PANN) constitutive models to experimental uniaxial tensile data of rubber-like materials whose behavior depends on manufacturing parameters. For this, we conduct experimental investigations on a 3D…

Computational Engineering, Finance, and Science · Computer Science 2025-01-07 Dominik K. Klein , Mokarram Hossain , Konstantin Kikinov , Maximilian Kannapinn , Stephan Rudykh , Antonio J. Gil

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…

Materials Science · Physics 2025-12-11 Reese E. Jones , Asghar Jadoon , D. Thomas Seidl , Jan N. Fuhg

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…

Computational Engineering, Finance, and Science · Computer Science 2024-10-07 Karl A. Kalina , Jörg Brummund , WaiChing Sun , Markus Kästner

In the present work, the applicability of physics-augmented neural network (PANN) constitutive models for complex electro-elastic finite element analysis is demonstrated. For the investigations, PANN models for electro-elastic material…

Computational Engineering, Finance, and Science · Computer Science 2024-02-13 Dominik K. Klein , Rogelio Ortigosa , Jesús Martínez-Frutos , Oliver Weeger

Predicting material properties of 3D printed polymer products is a challenge in additive manufacturing due to the highly localized and complex manufacturing process. The microstructure of such products is fundamentally different from the…

Soft Condensed Matter · Physics 2023-11-01 Caglar Tamur , Shaofan Li , Danielle Zeng

The recent development of Physics-Augmented Neural Networks (PANN) opens new opportunities for modeling material behaviors. These approaches have demonstrated their efficiency when trained on synthetic cases. This study aims to demonstrate…

Medical Physics · Physics 2024-09-19 Clément Jailin , Antoine Benady , Remi Legroux , Emmanuel Baranger

The design of physics-augmented neural networks (PANNs) for the purposes of constitutive modeling has received considerable attention as of late for a variety of material behaviors. Here, we revisit the classical framework of isotropic…

Mathematical Physics · Physics 2026-05-20 Maximilian P. Wollner , Dominik K. Klein , Herbert Baaser , Gerhard A. Holzapfel , Patrizio Neff

A thermodynamically related model is developed for describing elastic rubber-like behavior of amorphous and crystallizing polymers and demonstrated on example of simple extension. Both the “entropic” and “energetic”…

Soft Condensed Matter · Physics 2007-05-23 Arkady I. Leonov

Artificial neural network (ANN) potentials enable highly accurate atomistic simulations of complex materials at unprecedented scales. Despite their promise, training ANN potentials to represent intricate potential energy surfaces (PES) with…

Disordered Systems and Neural Networks · Physics 2025-11-11 In Won Yeu , Annika Stuke , Jon L. pez-Zorrilla , James M. Stevenson , David R. Reichman , Richard A. Friesner , Alexander Urban , Nongnuch Artrith

We present an approach for the data-driven modeling of nonlinear viscoelastic materials at small strains which is based on physics-augmented neural networks (NNs) and requires only stress and strain paths for training. The model is built on…

Computational Engineering, Finance, and Science · Computer Science 2024-01-26 Max Rosenkranz , Karl A. Kalina , Jörg Brummund , WaiChing Sun , Markus Kästner

The development of robust and reliable modeling approaches for crystallization processes is often challenging because of non-idealities in real data arising from various sources of uncertainty. This study investigated the effectiveness of…

Computational Engineering, Finance, and Science · Computer Science 2026-02-10 Dingqi Nai , Huayu Li , Martha Grover , Andrew Medford

In this work, we extend the existing framework of inelastic constitutive artificial neural networks (iCANNs) by incorporating plasticity to increase their applicability to model more complex material behavior. The proposed approach ensures…

Machine Learning · Computer Science 2025-06-10 Birte Boes , Jaan-Willem Simon , Hagen Holthusen

In this work, we present a deep neural network architecture that can efficiently approximate classical elasto-plastic constitutive relations. The network is enriched with crucial physics aspects of classical elasto-plasticity, including…

Machine Learning · Computer Science 2022-04-27 Mahdad Eghbalian , Mehdi Pouragha , Richard Wan

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

We present a framework for the multiscale modeling of finite strain magneto-elasticity based on physics-augmented neural networks (NNs). By using a set of problem specific invariants as input, an energy functional as the output and by…

Computational Engineering, Finance, and Science · Computer Science 2023-09-01 Karl A. Kalina , Philipp Gebhart , Jörg Brummund , Lennart Linden , WaiChing Sun , Markus Kästner

The mechanical behavior of inelastic materials with microstructure is very complex and hard to grasp with heuristic, empirical constitutive models. For this purpose, multiscale, homogenization approaches are often used for performing…

Materials Science · Physics 2022-06-22 Filippo Masi , Ioannis Stefanou

Multi-material 3D printing, particularly through polymer jetting, enables the fabrication of digital materials by mixing distinct photopolymers at the micron scale within a single build to create a composite with tunable mechanical…

Design and analysis of inelastic materials requires prediction of physical responses that evolve under loading. Numerical simulation of such behavior using finite element (FE) approaches can call for significant time and computational…

Materials Science · Physics 2025-07-08 Indrashish Saha , Ashwini Gupta , Lori Graham-Brady

ANN (Artificial Neural Networks) modeling methodology was adopted for predicting mechanical properties of aluminum cast composite materials. For this purpose aluminum alloy were developed using conventional foundry method. The composite…

Materials Science · Physics 2016-06-01 Muhammad Hayat Jokhio , Muhammad Ibrahim Panhwer , Mukhtiar Ali Unar
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