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Accurate identification of nonlinear material parameters from three-dimensional full-field deformation data remains a challenge in experimental mechanics. The virtual fields method (VFM) provides a powerful, computationally efficient…

软凝聚态物质 · 物理学 2026-01-21 Denislav P. Nikolov , Zhiren Zhu , Jonathan B. Estrada

This work introduces a calibration framework for material parameter identification in isotropic hyperelastic constitutive models. The framework synergizes the Virtual Fields Method (VFM) to define an objective function with a Genetic…

计算物理 · 物理学 2025-10-10 Zicheng Yan , Jialiang Tao , Christian Franck , David L. Henann

In the present study, a numerical method based on a metaheuristic parametric algorithm has been developed to identify the constitutive parameters of hyperelastic models, by using FE simulations and full kinematic field measurements. The…

经典物理 · 物理学 2019-07-08 G Bastos , A Tayeb , N. Di Cesare , Jean-Benoit Le Cam , E Robin

It is of great significance to identify the nonhomogeneous distribution of material properties in human tissues for different clinical and medical applications. This leads to the requirement of solving an inverse problem in elasticity. The…

医学物理 · 物理学 2022-11-04 Jianwei Deng , Xu Guo , Yue Mei , Stephane Avril

We propose a new framework for identifying mechanical properties of heterogeneous materials without a closed-form constitutive equation. Given a full-field measurement of the displacement field, for instance as obtained from digital image…

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,…

计算工程、金融与科学 · 计算机科学 2026-01-21 Vahab Knauf Narouie , Jorge-Humberto Urrea-Quintero , Fehmi Cirak , Henning Wessels

In this paper, a new inverse identification method is developed from full kinematic and thermal field measurements. It consists in reconstructing the heat source from two approaches, a first one that requires the measurement of the…

经典物理 · 物理学 2019-07-08 S. Charlès , Jean-Benoit Le Cam

In this work, we characterized the material properties of an animal model of the rotator cuff tendon using full volume datasets of both its intact and injured states by capturing internal strain behavior throughout the tendon. Our…

This work considers the application of the virtual element method to plane hyperelasticity problems with a novel approach to the selection of stabilization parameters. The method is applied to a range of numerical examples and well known…

数值分析 · 数学 2020-06-24 Daniel van Huyssteen , Batmanathan Dayanand Reddy

This paper discusses an important issue about the virtual fields method when it is used to identify nonhomogeneous shear moduli of nearly incompressible solids. From simulated examples, we observed that conventional virtual fields, which…

经典物理 · 物理学 2019-12-13 Yue Mei , Stéphane Avril

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…

计算工程、金融与科学 · 计算机科学 2023-04-28 Kshitiz Upadhyay , Jan N. Fuhg , Nikolaos Bouklas , K. T. Ramesh

Viscoelastic fluids are a class of fluids that exhibit both viscous and elastic nature. Modelling such fluids requires constitutive equations for the stress, and choosing the most appropriate constitutive relationship can be difficult. We…

流体动力学 · 物理学 2024-06-24 Sukirt Thakur , Maziar Raissi , Arezoo M. Ardekani

Accurate material characterization and model calibration are essential for computationally-supported engineering decisions. Current characterization and calibration methods (1) use simplified test specimen geometries and global data, (2)…

计算工程、金融与科学 · 计算机科学 2025-07-03 Denielle Ricciardi , D. Tom Seidl , Brian Lester , Amanda Jones , Elizabeth Jones

Accurate identification of material parameters is crucial for predictive modeling in computational mechanics. The two primary approaches in the experimental mechanics' community for calibration from full-field digital image correlation data…

计算工程、金融与科学 · 计算机科学 2025-03-26 Sanjeev Kumar , D. Thomas Seidl , Brian N. Granzow , Jin Yang , Jan N. Fuhg

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…

计算工程、金融与科学 · 计算机科学 2026-01-19 Kanhaiya Lal Chaurasiya , Saurav Dutta , Siddhant Kumar , Akshay Joshi

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…

软凝聚态物质 · 物理学 2025-09-19 Denisa Martonová , Alain Goriely , Ellen Kuhl

The calibration of solid constitutive models with full-field experimental data is a long-standing challenge, especially in materials which undergo large deformation. In this paper, we propose a physics-informed deep-learning framework for…

机器学习 · 计算机科学 2022-04-01 Craig M. Hamel , Kevin N. Long , Sharlotte L. B. Kramer

A well-established approach for inferring full displacement and stress fields from possibly sparse data is to calibrate the parameter of a given constitutive model using a Bayesian update. After calibration, a (stochastic) forward…

计算工程、金融与科学 · 计算机科学 2023-08-09 Vahab B. Narouie , Henning Wessels , Ulrich Römer

Contemporary material characterisation techniques that leverage deformation fields and the weak form of the equilibrium equations face challenges in the numerical solution procedure of the inverse characterisation problem. As material…

We study large deformations of hyperelastic membranes using a purely two-dimensional formulation derived from basic balance principles within a modern geometric setting, ensuring a framework that is independent of an underlying…

软凝聚态物质 · 物理学 2025-09-22 Claudia Grabs , Werner Wirges
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