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Constitutive laws relate fluid stress to deformation and underpin predictions of non-Newtonian behavior in industrial and biological fluids. Standard characterization relies on measurements in idealized flows that often miss physics…

Modeling the dynamics of flexible objects has become an emerging topic in the community as these objects become more present in many applications, e.g., soft robotics. Due to the properties of flexible materials, the movements of soft…

Machine Learning · Computer Science 2024-06-18 Kaiyuan Tan , Peilun Li , Thomas Beckers

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…

Machine Learning · Computer Science 2025-01-23 Hagen Holthusen , Tim Brepols , Kevin Linka , Ellen Kuhl

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 propose a data-driven constitutive framework for anisotropic damage mechanics based on the second-order damage tensor approach for both compressible and incompressible materials. The formulation is thermodynamically consistent and…

Applied Physics · Physics 2025-08-11 Amirhossein Amiri-Hezaveh , Adrian Buganza Tepole

In this work, a hybrid physics-based data-driven surrogate model for the microscale analysis of heterogeneous material is investigated. The proposed model benefits from the physics-based knowledge contained in the constitutive models used…

Materials Science · Physics 2024-04-30 M. A. Maia , I. B. C. M. Rocha , D. Kovačević , F. P. van der Meer

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

Data-driven methods have emerged as powerful tools for modeling the responses of complex nonlinear materials directly from experimental measurements. Among these methods, the data-driven constitutive models present advantages in physical…

Machine Learning · Computer Science 2025-05-05 Jihong Wang , Xiaochuan Tian , Zhongqiang Zhang , Stewart Silling , Siavash Jafarzadeh , Yue Yu

In practical structural design and solid mechanics simulations, material properties inherently exhibit random variations within bounded intervals. However, evaluating mechanical responses under continuous material uncertainty remains a…

Machine Learning · Computer Science 2026-03-30 Zhangyong Liang , Huanhuan Gao

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

Data-driven methods are becoming an essential part of computational mechanics due to their unique advantages over traditional material modeling. Deep neural networks are able to learn complex material response without the constraints of…

Computational Engineering, Finance, and Science · Computer Science 2022-07-27 Vahidullah Tac , Francisco S. Costabal , Adrian Buganza Tepole

A Physics-Augmented Neural network is trained to model a hyperelastic behavior. The dataset used for the training, validation, and test are displacement-force couples obtained from two experiments on a rubber-like material. One experiment…

Computational Engineering, Finance, and Science · Computer Science 2024-10-23 Clément Jailin , Antoine Benady , Emmanuel Baranger

The formulation of rheological constitutive equations -- models that relate internal stresses and deformations in complex fluids -- is a critical step in the engineering of systems involving soft materials. While data-driven models provide…

Soft Condensed Matter · Physics 2022-10-11 Kyle R. Lennon , Gareth H. McKinley , James W. Swan

In material science, models are derived to predict emergent material properties (e.g. elasticity, strength, conductivity) and their relations to processing conditions. A major drawback is the calibration of model parameters that depend on…

Neural and Evolutionary Computing · Computer Science 2021-11-22 Gabriel Kronberger , Evgeniya Kabliman , Johannes Kronsteiner , Michael Kommenda

Recent progress in AI-enabled constitutive modeling has concentrated on moving from a purely data-driven paradigm to the enforcement of physical constraints and mechanistic principles, a concept referred to as physics augmentation.…

Machine Learning · Computer Science 2026-04-10 Jingye Tan , Govinda Anantha Padmanabha , Steven J. Yang , Nikolaos Bouklas

Data-driven models based on deep learning algorithms intend to overcome the limitations of traditional constitutive modelling by directly learning from data. However, the need for extensive data that collate the full state of the material…

Materials Science · Physics 2023-12-27 Filippo Masi , Itai Einav

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

Elasticity images map biomechanical properties of soft tissues to aid in the detection and diagnosis of pathological states. In particular, quasi-static ultrasonic (US) elastography techniques use force-displacement measurements acquired…

Machine Learning · Computer Science 2018-09-13 Cameron Hoerig , Jamshid Ghaboussi , Michael F. Insana

We propose a computational framework, Hetero-EUCLID, for segmentation and parameter identification to characterize the full hyperelastic behavior of all constituents of a heterogeneous material. In this work, we leverage the Bayesian-EUCLID…

Computational Engineering, Finance, and Science · Computer Science 2026-01-19 Kanhaiya Lal Chaurasiya , Saurav Dutta , Siddhant Kumar , Akshay Joshi

The calibration of constitutive models from full-field data has recently gained increasing interest due to improvements in full-field measurement capabilities. In addition to the experimental characterization of novel materials, continuous…

Machine Learning · Computer Science 2025-06-03 David Anton , Jendrik-Alexander Tröger , Henning Wessels , Ulrich Römer , Alexander Henkes , Stefan Hartmann