Analysis of Strain Field Heterogeneity at the Microstructure Level and Inverse Identification of Composite Constituents by Means of Digital Image Correlation

Ogierman, Witold; Kokot, Grzegorz

doi:10.3390/ma13020287

Cited by 6 publications

(3 citation statements)

References 48 publications

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“…Volume identification of elastic parameters has been performed by the same authors with the same methods and considerations [26]. Ogierman et al [27] used the finite element model updating method for identification on a two-phase composite material. Each phase is characterized by an isotropic and homogeneous material.…”

Section: Introductionmentioning

confidence: 99%

Numerical identification of the elasticity tensor of heterogeneous materials made of Silicon Carbide and Titanium by the Finite Element Model Updating (FEMU)

Ayeleh

Atchonouglo

Koumekpo

et al. 2023

Mechanics & Industry

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This work is subjected to the development of a method to identify the elasticity tensor of homogeneous and heterogeneous materials. The materials are created in the form of checkerboards. We solved the direct problem to obtain the strain field using the finite element method, after obtaining this strain field, we created synthetic experimental displacement data by simulation. A re-calibration of the created experimental and simulated data is done based on the principle of the finite element model updating (FEMU), used in almost all domains, in the inverse problem. The minimization of the cost function obtained by FEMU is done by Levenberg-Marquardt algorithm which is very fast and elegant algorithm. A complete study has been done by studying the sensitivity of the identified values with respect to the refinement of the mesh and with respect to the level of disturbance.

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Section: Introductionmentioning

confidence: 99%

Numerical identification of the elasticity tensor of heterogeneous materials made of Silicon Carbide and Titanium by the Finite Element Model Updating (FEMU)

Ayeleh

Atchonouglo

Koumekpo

et al. 2023

Mechanics & Industry

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“…By using weight FEMU and DIC, Mathieu et al [ 20 ] estimated the parameters of the pure titanium sample under tensile loading. Ogierman et al [ 21 ] proposed a novel two-step optimization procedure inversion method of the elastic properties of the composite constituents, which improved the solution efficiency. Based on the digital speckle correlation method (DSCM) and finite element method (FEM), Song et al [ 22 , 23 ] proposed the DSCM-FEM inversion method, which can obtain the Young’s modulus and Poisson’s ratio of rock soil materials.…”

Section: Introductionmentioning

confidence: 99%

Inversion Method of the Young’s Modulus Field and Poisson’s Ratio Field for Rock and Its Test Application

et al. 2022

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As one typical heterogeneous material, the heterogeneity of rock micro parameters has an important effect on its macro mechanical behavior. The study of the heterogeneity of micro parameters is more important to reveal the root cause of deformation and failure. However, as a typical heterogeneous material, the current testing and inversion method is not suitable for micro parameters measurement for the rock. Aiming at obtaining the distribution of micro Young’s modulus and micro Poisson’s ratio of the rock, based on the digital image correlation method (DIC) and finite element method (FEM), this paper proposed a parameter field inversion method, namely the DF-PF inversion method. Its inversion accuracy is verified using numerical simulation and laboratory uniaxial compression test. Considering the influences of heterogeneity, stress state and dimension difference, the average inversion error of Young’s modulus field and Poisson’s ratio field are below 10%, and the proportion of elements with an error of less than 15% accounts for more than 86% in the whole specimen model. Compared with the conventional measuring method, the error of macro Young’s modulus and macro Poisson’s ratio calculated by the DF-PF inversion method is less than 2.8% and 9.07%, respectively. Based on the statistical analysis of Young’s modulus field and Poisson’s ratio field, the parameter homogeneity and quantitative function relation between the micro parameter and the principal strain can also be obtained in laboratory tests. The DF-PF inversion method provides a new effective method of testing Young’s modulus field and Poisson’s ratio field of the rocks under complex stress states.

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“…The conception of the method is based on the generation of images that represent the artificially deformed specimen with respect to the results of the reference FE simulation related to the microgeometry behind the speckle pattern. This concept was proposed in the previous work of authors [ 40 ]; however, it was associated with artificially generated speckle patterns by prescribing a random grayscale level of pixels. This paper concentrates on a real specked pattern that was used in DIC analysis at the level of constituents of the composite.…”

Section: Introductionmentioning

confidence: 99%

Determination of Local Strain Distribution at the Level of the Constituents of Particle Reinforced Composite: An Experimental and Numerical Study

Ogierman

Kokot

2020

Materials

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This paper is devoted to numerical and experimental investigation of the strain field at the level of the constituents of two-phase particle reinforced composite. The research aims to compare the strain distributions obtained experimentally with the results obtained by using a computational model based on the concept of the representative volume element. A digital image correlation method has been used for experimental determination of full-field strain. The numerical investigation was conducted by the finite element analysis of the representative volume element. Moreover, usage of the novel method of assessment of the speckle pattern applicability for the measurement of local fields by using the digital image correlation method has been proposed. In general, the obtained experimental and numerical results are in good agreement although some discrepancies between the results have been noticed and discussed.

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Analysis of Strain Field Heterogeneity at the Microstructure Level and Inverse Identification of Composite Constituents by Means of Digital Image Correlation

Cited by 6 publications

References 48 publications

Numerical identification of the elasticity tensor of heterogeneous materials made of Silicon Carbide and Titanium by the Finite Element Model Updating (FEMU)

Numerical identification of the elasticity tensor of heterogeneous materials made of Silicon Carbide and Titanium by the Finite Element Model Updating (FEMU)

Inversion Method of the Young’s Modulus Field and Poisson’s Ratio Field for Rock and Its Test Application

Determination of Local Strain Distribution at the Level of the Constituents of Particle Reinforced Composite: An Experimental and Numerical Study

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