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In this study, the Virtual Fields Method (VFM) is applied to identify constitutive parameters of hyperelastic models from a heterogeneous test. Digital image correlation (DIC) was used to estimate the displacement and strain fields required…

Classical Physics · Physics 2019-07-08 A Tayeb , Jean-Benoit Le Cam , M. Grédiac , E. Toussaint , F. Canevet , E. Robin , X. Balandraud

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…

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

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…

Materials Science · Physics 2024-10-17 Xinxin Wu , Yin Zhang , Sheng Mao

Integrated digital image correlation (IDIC) is applied to identify the constitutive parameters of an elastic and two elastoplastic laws with kinematic hardening. An experiment is conducted on a cruciform specimen in a biaxial setup. The…

Classical Physics · Physics 2015-09-11 Morgan Bertin , F Hild , S Roux

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 paper presents several strategies to tune the parameters of metaheuristic methods for (discrete) design optimization of reinforced concrete (RC) structures. A novel utility metric is proposed, based on the area under the average…

Neural and Evolutionary Computing · Computer Science 2021-10-13 Iván Negrin , Dirk Roose , Ernesto Chagoyén

The aim of this work is to efficiently and robustly solve the statistical inverse problem related to the identification of the elastic properties at both macroscopic and mesoscopic scales of heterogeneous anisotropic materials with a…

Classical Physics · Physics 2020-06-29 Tianyu Zhang , Florent Pled , Christophe Desceliers

Finite element analysis (FEA) can be used to evaluate applied interface pressures and internal tissue strains for computational prosthetic socket design. This type of framework requires realistic patient-specific limb geometry and…

Medical Physics · Physics 2022-11-24 Bryan J. Ranger , Kevin M. Moerman , Brian W. Anthony , Hugh M. Herr

Micromechanical constitutive parameters are important for many engineering materials, typically in microelectronic applications and material design. Their accurate identification poses a three-fold experimental challenge: (i) deformation of…

Soft Condensed Matter · Physics 2023-02-08 O. Rokoš , R. H. J. Peerlings , J. P. M. Hoefnagels , M. G. D. Geers

Materials with heterogeneous structures exhibit complex physical processes such as delamination, cracks, and plasticity, which require micromechanical parameters for understanding. However, identifying these parameters is challenging due to…

Analysis of PDEs · Mathematics 2023-06-26 Liya Gaynutdinova , Ondřej Rokoš , Jan Havelka , Ivana Pultarová , Jan Zeman

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…

Computational Physics · Physics 2025-10-10 Zicheng Yan , Jialiang Tao , Christian Franck , David L. Henann

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)…

Computational Engineering, Finance, and Science · Computer Science 2025-07-03 Denielle Ricciardi , D. Tom Seidl , Brian Lester , Amanda Jones , Elizabeth Jones

The high-fidelity characterization of soft, tissue-like materials under ultra-high-strain-rate conditions is critical in engineering and medicine. Still, it remains challenging due to limited optical access, sensitivity to initial…

Knowledge of the mechanical properties of materials is required for the design and analysis of engineering products, however, the characterisation of heterogeneous properties using traditional techniques is limited by spatial resolution or…

Computational Engineering, Finance, and Science · Computer Science 2026-03-16 Robert Hamill , Allan Harte , Aleksander Marek , Fabrice Pierron

Computational simulation is increasingly relied upon for high-consequence engineering decisions, and a foundational element to solid mechanics simulations, such as finite element analysis (FEA), is a credible constitutive or material model.…

Computational Engineering, Finance, and Science · Computer Science 2023-10-30 Denielle Ricciardi , Tom Seidl , Brian Lester , Amanda Jones , Elizabeth Jones

We consider the identification of heterogeneous linear elastic moduli in the context of time-harmonic elastodynamics. This inverse problem is formulated as the minimization of the modified error in constitutive equation (MECE), an…

Analysis of PDEs · Mathematics 2018-12-11 Wilkins Aquino , Marc Bonnet

We assess the performance of EUCLID, Efficient Unsupervised Constitutive Law Identification and Discovery, a recently proposed framework for automated discovery of constitutive laws, on experimental data. Mechanical tests are performed on…

Inferring viscoelasticity parameters is a key challenge that often leads to non-unique solutions when fitting rheological data. In this context, we propose a machine learning approach that utilizes Bayesian optimization for parameter…

Soft Condensed Matter · Physics 2025-02-27 Isaac Y. Miranda-Valdez , Tero Mäkinen , Juha Koivisto , Mikko J. Alava

Real-time simulation of elastic structures is essential in many applications, from computer-guided surgical interventions to interactive design in mechanical engineering. The Finite Element Method is often used as the numerical method of…

Machine Learning · Computer Science 2021-09-21 Alban Odot , Ryadh Haferssas , Stéphane Cotin
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