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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

This paper introduces a novel approach that combines Proper Orthogonal Decomposition (POD) with Thermodynamics-based Artificial Neural Networks (TANN) to capture the macroscopic behavior of complex inelastic systems and derive macroelements…

机器学习 · 计算机科学 2024-10-02 Giovanni Piunno , Ioannis Stefanou , Cristina Jommi

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

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

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…

计算工程、金融与科学 · 计算机科学 2024-02-13 Dominik K. Klein , Rogelio Ortigosa , Jesús Martínez-Frutos , Oliver Weeger

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

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

We present an approach to numerical homogenization of the elastic response of microstructures. Our work uses deep neural network representations trained on data obtained from direct numerical simulation (DNS) of martensitic phase…

计算物理 · 物理学 2019-01-04 K. Sagiyama , K. Garikipati

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

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 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

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…

材料科学 · 物理学 2026-05-19 Filippo Masi

Additive manufacturing methods together with topology optimization have enabled the creation of multiscale structures with controlled spatially-varying material microstructure. However, topology optimization or inverse design of such…

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…

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

In the present work, a machine learning based constitutive model for electro-mechanically coupled material behavior at finite deformations is proposed. Using different sets of invariants as inputs, an internal energy density is formulated…

计算工程、金融与科学 · 计算机科学 2022-08-30 Dominik K. Klein , Rogelio Ortigosa , Jesús Martínez-Frutos , Oliver Weeger

We propose a deep neural network (DNN) as a fast surrogate model for local stress (and in principle strain) calculation in inhomogeneous non-linear material systems. We show that the DNN predicts the local stresses with about 3.8% mean…

材料科学 · 物理学 2021-03-17 Jaber Rezaei Mianroodi , Nima H. Siboni , Dierk Raabe

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

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

Computational material modeling using advanced numerical techniques speeds up the design process and reduces the costs of developing new engineering products. In the field of multiscale modeling, huge computation efforts are expected for…

无序系统与神经网络 · 物理学 2023-01-31 Fadi Aldakheel , Celal Soyarslan , Hari Subramani Palanisamy , Elsayed Saber Elsayed
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