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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

A novel approach was derived to compute the elastic displacement field from a measured elastic deformation field (i.e., deformation gradient or strain). The method is based on integrating the deformation field using Finite Element…

Materials Science · Physics 2025-12-11 Abdalrhaman Koko , James Marrow , Elsiddig Elmukashfi

Mechanical and elastic properties of materials are among the most fundamental quantities for many engineering and industrial applications. Here, we present a formulation that is efficient and accurate for calculating the elastic and bending…

Materials Science · Physics 2026-03-23 Changpeng Lin , Samuel Poncé , Francesco Macheda , Francesco Mauri , Nicola Marzari

Assessing the vulnerability of atherosclerotic plaques requires an accurate knowledge of the mechanical properties of the plaque constituents. It is possible to measure displacements in vivo inside a plaque using magnetic resonance imaging.…

Medical Physics · Physics 2011-10-17 Alexandre Franquet , Stéphane Avril , Pierre Badel , Rodolphe Le Riche

We discuss Bayesian inference (BI) for the probabilistic identification of material parameters. This contribution aims to shed light on the use of BI for the identification of elastoplastic material parameters. For this purpose a single…

Computational Engineering, Finance, and Science · Computer Science 2017-01-17 Hussein Rappel , Lars A. A. Beex , Jack S. Hale , Stephane P. A. Bordas

The present paper proposes a novel Bayesian, computational strategy in the context of model-based inverse problems in elastostatics. On one hand we attempt to provide probabilistic estimates of the material properties and their spatial…

Computation · Statistics 2015-12-21 P. S. Koutsourelakis

A special aspect of parameter identification in finite-strain elasto-plasticity is considered. Namely, we analyze the impact of the measurement errors on the resulting set of material parameters. In order to define the sensitivity of…

Applications · Statistics 2021-03-15 A. V. Shutov , A. A. Kaygorodtseva

We present a Bayesian methodology to infer the elastic modulus of the constituent polymer and the fiber orientation state in a short-fiber reinforced polymer composite (SFRP). The properties are inversely determined using only a few…

Materials Science · Physics 2022-07-11 Akshay J. Thomas , Eduardo Barocio , Ilias Bilionis , R. Byron Pipes

In full-scale forced vibration tests, the demand often arises to capture high-spatial-resolution mode shapes with limited number of sensors and shakers. Multi-setup experimental modal analysis (EMA) addresses this challenge by roving…

Computational Engineering, Finance, and Science · Computer Science 2024-12-03 Peixiang Wang , Binbin Li

Point defects such as interstitials, vacancies, and impurities in otherwise perfect crystals induce complex displacement fields that are of long-range nature. In the present paper we study numerically the response of a two-dimensional…

Soft Condensed Matter · Physics 2009-11-13 Wolfgang Lechner , Elisabeth Schöll-Paschinger , Christoph Dellago

Regarding lightweighting structures for aeronautics, automotive or construction applications, the level of performance of solutions proposed in terms of damping and isolation is fundamental. Hence multilayered plate appears as an…

Classical Physics · Physics 2012-10-22 Kerem Ege , Thibault Boncompagne , Bernard Laulagnet , Jean-Louis Guyader

A recently developed Projection-based Digital Image Correlation (P-DVC) method is here extended to 4D (space and time) displacement field measurement and mechanical identification based on a single radiograph per loading step instead of…

Computational Physics · Physics 2019-05-23 Clément Jailin , Ante Buljac , Amine Bouterf , François Hild , Stéphane Roux

Elastic constants are among the most fundamental and important properties of solid materials, which is why they are routinely characterized in both experiments and simulations. While conceptually simple, the treatment of elastic constants…

Materials Science · Physics 2023-08-01 Jan Grießer , Lucas Frérot , Jonas A. Oldenstaedt , Martin H. Müser , Lars Pastewka

This paper presents a two-step Bayesian framework for the estimation of the intrinsic single crystal elastic stiffness parameters from the measurements of spherical indentation stress-strain responses in multiple individual grains of a…

Computational Physics · Physics 2019-05-07 Andrew Castillo , Surya R. Kalidindi

Recent developments in piezoelectric films have heightened the need for the reliable methods to correctly characterize their piezoelectric coefficients. Here, we demonstrate that capacitive displacement method can be used to determine…

Materials Science · Physics 2015-10-22 Desheng Fu

Elastic constants and mechanical properties play a pivotal role across multiple disciplines and engineering applications. We introduced the optimized high-efficient strain-matrix set (OHESS) that determines the second-order elastic…

Materials Science · Physics 2023-08-29 Zhong-Li Liu , Ya-Dong Wei , Xiao-Dong Xu , Wei-Qi Li , Gang Lv , Jian-Qun Yang , Xing-Ji Li , Chinedu E. Ekuma

Broadband laser ultrasonics and two dimensional Fourier transformation are used to characterize the properties of varieties of foils and plates. Laser ultrasonics generation is achieved by use of a pulsed laser which deposits pulsed laser…

Materials Science · Physics 2009-11-10 Xinya Zhang , Emmanuel Lafond , Ted Jackson

A general procedure to investigate the elastic response and calculate the elastic constants of stressed and unstressed materials through continuum field modeling, particularly the phase field crystal (PFC) models, is presented. It is found…

Materials Science · Physics 2018-05-09 Zi-Le Wang , Zhi-Feng Huang , Zhirong Liu

Crystal dislocation dynamics, especially at high temperatures, represents a subject where experimental phenomenological input is commonly required, and parameter-free predictions, starting from quantum methods, have been beyond reach. This…

Explicit expressions, for efficient application in engineering practice, are derived for generalized displacements and stresses in simply supported multi-layered wide plates and beams subjected to steady-state thermal and mechanical…

Materials Science · Physics 2015-03-16 M. Pelassa , R. Massabo
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