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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…

机器学习 · 计算机科学 2025-06-10 Birte Boes , Jaan-Willem Simon , Hagen Holthusen

We present a methodology for designing a generalized dual potential, or pseudo potential, for inelastic Constitutive Artificial Neural Networks (iCANNs). This potential, expressed in terms of stress invariants, inherently satisfies…

机器学习 · 计算机科学 2025-09-19 Hagen Holthusen , Kevin Linka , Ellen Kuhl , Tim Brepols

Data-driven methods have changed the way we understand and model materials. However, while providing unmatched flexibility, these methods have limitations such as reduced capacity to extrapolate, overfitting, and violation of physics…

计算工程、金融与科学 · 计算机科学 2023-01-26 Vahidullah Tac , Kevin Linka , Francisco Sahli-Costabal , Ellen Kuhl , Adrian Buganza Tepole

A key problem of solid mechanics is the identification of the constitutive law of a material, that is, the relation between strain and stress. Machine learning has lead to considerable advances in this field lately. Here we introduce…

材料科学 · 物理学 2026-02-23 Chenyi Ji , Kian P. Abdolazizi , Hagen Holthusen , Christian J. Cyron , Kevin Linka

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

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…

材料科学 · 物理学 2022-06-22 Filippo Masi , Ioannis Stefanou

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…

计算工程、金融与科学 · 计算机科学 2025-11-06 Karl A. Kalina , Jörg Brummund , Markus Kästner

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

Data-driven and deep learning approaches have demonstrated to have the potential of replacing classical constitutive models for complex materials. Yet, the necessity of structuring constitutive models with an incremental formulation has…

计算工程、金融与科学 · 计算机科学 2023-02-28 Filippo Masi , Ioannis Stefanou

The constitutive behavior of polymeric materials is often modeled by finite linear viscoelastic (FLV) or quasi-linear viscoelastic (QLV) models. These popular models are simplifications that typically cannot accurately capture the nonlinear…

材料科学 · 物理学 2023-03-23 Kian P. Abdolazizi , Kevin Linka , Christian J. Cyron

Traditional constitutive models rely on hand-crafted parametric forms with limited expressivity and generalizability, while neural network-based models can capture complex material behavior but often lack interpretability. To balance these…

机器学习 · 计算机科学 2025-06-05 Prakash Thakolkaran , Yaqi Guo , Shivam Saini , Mathias Peirlinck , Benjamin Alheit , Siddhant Kumar

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…

机器学习 · 计算机科学 2020-12-18 Filippo Masi , Ioannis Stefanou , Paolo Vannucci , Victor Maffi-Berthier

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…

计算工程、金融与科学 · 计算机科学 2024-10-07 Karl A. Kalina , Jörg Brummund , WaiChing Sun , Markus Kästner

We introduce HyperCAN, a machine learning framework that utilizes hypernetworks to construct adaptable constitutive artificial neural networks for a wide range of beam-based metamaterials exhibiting diverse mechanical behavior under finite…

计算工程、金融与科学 · 计算机科学 2024-10-30 Li Zheng , Dennis M. Kochmann , Siddhant Kumar

Constitutive models play a crucial role in materials science as they describe the behavior of the materials in mathematical forms. Over the last few decades, the rapid development of manufacturing technologies have led to the discovery of…

材料科学 · 物理学 2024-10-17 Xinxin Wu , Yin Zhang , Sheng Mao

Multiscale topology optimization (TO) of hyperelastic materials remains computationally prohibitive due to the repeated solution of microscale boundary value problems. In this work, we present a concurrent multiscale topology optimization…

计算工程、金融与科学 · 计算机科学 2026-04-09 Asghar A. Jadoon , Aryan Tyagi , L. River Spencer , Reese E. Jones , Manuel K. Rausch , Ryan Alberdi , D. Thomas Seidl , Jan N. Fuhg

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…

计算工程、金融与科学 · 计算机科学 2025-01-07 Dominik K. Klein , Mokarram Hossain , Konstantin Kikinov , Maximilian Kannapinn , Stephan Rudykh , Antonio J. Gil

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…

材料科学 · 物理学 2026-05-28 Reese E. Jones , Jan N. Fuhg

For more than 100 years, chemical, physical, and material scientists have proposed competing constitutive models to best characterize the behavior of natural and man-made materials in response to mechanical loading. Now, computer science…

机器学习 · 计算机科学 2022-11-23 Kevin Linka , Ellen Kuhl

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…

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