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Related papers: Discovering plasticity models without stress data

200 papers

Most common mechanistic models are traditionally presented in mathematical forms to explain a given physical phenomenon. Machine learning algorithms, on the other hand, provide a mechanism to map the input data to output without explicitly…

Machine Learning · Computer Science 2020-12-22 Waad Subber , Piyush Pandita , Sayan Ghosh , Genghis Khan , Liping Wang , Roger Ghanem

A novel data-driven constitutive modeling approach is proposed, which combines the physics-informed nature of modeling based on continuum thermodynamics with the benefits of machine learning. This approach is demonstrated on…

Computational Engineering, Finance, and Science · Computer Science 2023-04-28 Kshitiz Upadhyay , Jan N. Fuhg , Nikolaos Bouklas , K. T. Ramesh

Since the earliest stages of human civilization, advances in technology have been tightly linked to our ability to understand and predict the mechanical behavior of materials. In recent years, this challenge has increasingly been framed…

Numerical Analysis · Mathematics 2026-03-30 Francesco Regazzoni

Constitutive model discovery refers to the task of identifying an appropriate model structure, usually from a predefined model library, while simultaneously inferring its material parameters. The data used for model discovery are measured…

Machine Learning · Computer Science 2026-01-27 David Anton , Henning Wessels , Ulrich Römer , Alexander Henkes , Jorge-Humberto Urrea-Quintero

Localization of plastic strain induced by softening can be objectively described by a regularized plasticity model that postulates a dependence of the current yield stress on a nonlocal softening variable defined by a differential…

Materials Science · Physics 2012-02-02 Milan Jirasek , Jan Zeman , Jaroslav Vondrejc

Recently, unsupervised constitutive model discovery has gained attention through frameworks based on the Virtual Fields Method (VFM), most prominently the EUCLID approach. However, the performance of VFM-based approaches, including EUCLID,…

Computational Engineering, Finance, and Science · Computer Science 2026-01-21 Vahab Knauf Narouie , Jorge-Humberto Urrea-Quintero , Fehmi Cirak , Henning Wessels

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…

Soft Condensed Matter · Physics 2025-09-19 Denisa Martonová , Alain Goriely , Ellen Kuhl

Data-driven material models have many advantages over classical numerical approaches, such as the direct utilization of experimental data and the possibility to improve performance of predictions when additional data is available. One…

Computational Engineering, Finance, and Science · Computer Science 2020-06-11 Dengpeng Huang , Jan Niklas Fuhg , Christian Weißenfels , Peter Wriggers

Machine learning approaches have been widely used for discovering the underlying physics of dynamical systems from measured data. Existing approaches, however, still lack robustness, especially when the measured data contain a large level…

Computational Engineering, Finance, and Science · Computer Science 2022-06-08 Zhiming Zhang , Yongming Liu

Plastic yielding in solids strongly depends on various conditions, such as temperature and loading rate and indeed, sample-dependent knowledge of yield points in structural materials promotes reliability in mechanical behavior. Commonly,…

Materials Science · Physics 2021-08-11 Stefanos Papanikolaou , Mikko J. Alava

Detecting structures at the particle scale within plastically deformed crystalline materials allows a better understanding of the occurring phenomena. While previous approaches mostly relied on applying hand-chosen criteria on different…

Materials Science · Physics 2024-05-15 Armand Barbot , Riccardo Gatti

We introduce a data-driven framework for identifying material behavior from full-field kinematics and force measurements in generalized (micromorphic) continua. Unlike traditional approaches that rely on constitutive assumptions or…

Numerical Analysis · Mathematics 2025-12-18 Jacinto Ulloa , Laurent Stainier

This work presents a two-stage physics-informed, data-driven constitutive modeling framework for hyperelastic soft materials undergoing progressive damage and failure. The framework is grounded in the concept of hyperelasticity with energy…

Computational Engineering, Finance, and Science · Computer Science 2026-02-13 Kshitiz Upadhyay

This study presents a novel physics informed, data-driven modeling framework for capturing the strongly nonlinear thermo-viscoelastic behavior of soft materials exhibiting stress softening, with emphasis on the Mullins effect. Unlike…

Soft Condensed Matter · Physics 2025-07-18 Alireza Ostadrahimi , Amir Teimouri , Kshitiz Upadhyay , Guoqiang Li

Scientific discovery drives progress across disciplines, from fundamental physics to industrial applications. However, identifying physical laws automatically from gathered datasets requires identifying the structure and parameters of the…

Computational Engineering, Finance, and Science · Computer Science 2025-09-10 Tingxiong Xiao , Xinxin Song , Ziqian Wang , Boyang Zhang , Jinli Suo

We introduce a deep learning framework designed to train smoothed elastoplasticity models with interpretable components, such as a smoothed stored elastic energy function, a yield surface, and a plastic flow that are evolved based on a set…

Machine Learning · Computer Science 2020-10-23 Nikolaos N. Vlassis , WaiChing Sun

Model-free data-driven computational mechanics replaces phenomenological constitutive functions by numerical simulations based on data sets of representative samples in stress-strain space. The distance of strain and stress pairs from the…

Computational Engineering, Finance, and Science · Computer Science 2021-11-29 Kerem Ciftci , Klaus Hackl

In order to develop predictive wear laws, relevant material parameters and their influence on the wear rate need to be identified. Despite decades of research, there is no agreement on the mathematical form of wear equations and even the…

Applied Physics · Physics 2021-01-20 Tobias Brink , Lucas Frérot , Jean-François Molinari

In this contribution, we present a new Materials Knowledge System framework for microstructure-sensitive predictions of effective stress--strain responses in composite materials. The model is developed for composites with a wide range of…

Materials Science · Physics 2018-12-17 Marat I. Latypov , Laszlo S. Toth , Surya R. Kalidindi

An elasto-plastic model for concrete, based on a recently-proposed yield surface and simple hardening laws, is formulated, implemented, numerically tested and validated against available test results. The yield surface is smooth and…

Materials Science · Physics 2014-04-28 F. Poltronieri , A. Piccolroaz , D. Bigoni