Academic literature on the topic 'Voigt-Reuss-Hill'

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Journal articles on the topic "Voigt-Reuss-Hill"

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Villalobos-Portillo, Edgar E., Luis Fuentes-Montero, María E. Montero-Cabrera, Diana C. Burciaga-Valencia, and Luis E. Fuentes-Cobas. "Polycrystal piezoelectricity: revisiting the Voigt-Reuss-Hill approximation." Materials Research Express 6, no. 11 (2019): 115705. http://dx.doi.org/10.1088/2053-1591/ab46f2.

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Zuo, L., M. Humbert, and C. Esling. "Elastic properties of polycrystals in the Voigt-Reuss-Hill approximation." Journal of Applied Crystallography 25, no. 6 (1992): 751–55. http://dx.doi.org/10.1107/s0021889892004874.

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Gnäupel-Herold, Thomas. "ISODEC: software for calculating diffraction elastic constants." Journal of Applied Crystallography 45, no. 3 (2012): 573–74. http://dx.doi.org/10.1107/s0021889812014252.

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A program is introduced that calculates diffraction elastic constants for the Reuss, modified Voigt, Hill, Kröner and inverse Kröner models. For materials with preferred orientation it uses the orientation distribution function (ODF) to calculate the anisotropic stress factors. The ODF is read in text format as output from the freely available texture programspopLAandMTEX. The software also calculates the orientation-dependent mixing ratios of intensities of overlapped reflections, anisotropic bulk constants, and stress from lattice strain andvice versa.
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Liu, Jide, Xiaoming Du, Xue Wang, et al. "First-Principles Calculations of Elasticity Properties of AgW20 Alloy." Journal of Physics: Conference Series 2459, no. 1 (2023): 012008. http://dx.doi.org/10.1088/1742-6596/2459/1/012008.

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Abstract In this paper, the first-principles calculations based on DFT were employd to investigate the elasticity characteristics of AgW20 alloy. The elasticity constants of the single crystals are calculated using the finite strain method and Voigt – Reuss – Hill (VRH) approach. The universal anisortropic index (AU ), shear anisortropic index, orientation dependency of Young’s modulus, bulk modulus were used to characterize elasticity anisortropy behaviors. The calculated elasticity properties of AgW20 alloy show a remarkable elasticity anisortropy for AgW20 alloy.
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Ishaje, Michael E., Kseniia Minakova, Valentyna Sirenko, and Ivan Bondar. "Study of structural and mechanical properties of the C2CaNa half-Heusler alloy using density functional theory approach." Low Temperature Physics 50, no. 6 (2024): 467–71. http://dx.doi.org/10.1063/10.0026085.

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The mechanical properties of the half-Heusler alloy C2CaNa using density functional theory approach as installed in Quantum Espresso software was examined. We observed that C2CaNa will be easily compressed due to the small value of its bulk modulus. The values of the lattice constant a0, elastic constants (C11, C12, C14), Young’s modulus E, Piosson’s ratio ν, Shear modulus G, Zener anitropy A, pressure derivative B′, and band-gap Eg were obtained. Also the Voigt approximation, Reuss approximation and the Voigt–Reuss–Hill average of the approximation were gotten. Calculated values of G/B ratio
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Svetashkov, Alexander, Nikolay Kupriyanov, and Kayrat Manabaev. "Modifications of the Mathematical Crisher Model for Effective Moduli of Two-Component Elastic Isotropic Composite." Key Engineering Materials 685 (February 2016): 206–10. http://dx.doi.org/10.4028/www.scientific.net/kem.685.206.

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The problem of determining the effective properties of composite materials is actual problem for deformable body mechanics. The model, proposed by Crisher for modeling effective values of the coefficient of thermal conductivity, has been considered. Modifications of this mathematical model for two-component elastic composite were built. Model of Hill-Budiansky compresses classic fork of Voigt-Reuss, if it is added by Voigt component. Expressions of hybrid effective characteristics through the use of effective Hashin-Shtrikman moduli are built. The accuracy is estimated depending on the type of
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Li, Ang, Liyan Zhang, Jianguo Yang, et al. "Study on Anisotropic Petrophysical Modeling of Shale: A Case Study of Shale Oil in Qingshankou Formation in Sanzhao Sag, Songliao Basin, China." Geofluids 2023 (April 27, 2023): 1–21. http://dx.doi.org/10.1155/2023/6236986.

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Seismic petrophysics is an important link between seismic elastic properties and reservoir physical properties. Based on the petrological and microstructure characteristics of shale in the Qingshankou formation of Sanzhao sag in the north of Songliao Basin, this paper presents an anisotropy petrophysical model with complex pore structure suitable for organic shale constructed with the use of the Voigt-Reuss-Hill average model, an anisotropy self-consistent approximation+differential effective medium model, and the layering of clay and kerogen is simulated by using the Voigt-Reuss-Hill average
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Huang, Bo, Yong Hua Duan, Sun Yong, and Ming Jun Peng. "Elastic Properties and Electronic Structures of L12-TiAl3 and L12-Ti(Al,Pt)3: A Density Functional Theory Investigation." Materials Science Forum 817 (April 2015): 816–25. http://dx.doi.org/10.4028/www.scientific.net/msf.817.816.

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First-principles calculations have been carried out to investigate the elastic properties and electronic structures of L12-TiAl3and L12-Ti (Al, Pt)3. The optimized structural parameters were largely consistent with the experimental values. The electronic density of states (DOS) and the differences of charge density distribution were given. The independent single-crystal elastic constants and polycrystalline elastic parameters such as bulk modulusB, Young’s modulusE, shear modulusG, Poisson’s ratioνand anisotropy valueAhave been calculated by Voigt-Reuss-Hill averaging scheme. The results indic
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Wang, H. Y., F. Y. Xue, Nai Hui Zhao, and De Jun Li. "First-Principles Calculation of Elastic Properties of TiB2 and ZrB2." Advanced Materials Research 150-151 (October 2010): 40–43. http://dx.doi.org/10.4028/www.scientific.net/amr.150-151.40.

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Based on Density Functional Theory (DFT), using first-principles pseudopotential plane wave method, elastic properties and electronic structure of TiB2 and ZrB2 were calculated. The elastic constants of these compounds were calculated by Voigt-Reuss-Hill method. The results show that the elastic modulus of TiB2 and ZrB2 are 594 and 520 GPa, and the shear modulus are 268 and 229 GPa, respectively. Pugh empirical criterion and Poisson's ratio show that the two compounds are very brittle, and the brittleness of TiB2 is higher than ZrB2. Finally, the differences in elastic properties between TiB2
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Vermeulen, Arnold C., Christopher M. Kube, and Nicholas Norberg. "Implementation of the self-consistent Kröner–Eshelby model for the calculation of X-ray elastic constants for any crystal symmetry." Powder Diffraction 34, no. 2 (2019): 103–9. http://dx.doi.org/10.1017/s088571561900037x.

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In this paper, we will report about the implementation of the self-consistent Kröner–Eshelby model for the calculation of X-ray elastic constants for general, triclinic crystal symmetry. With applying appropriate symmetry relations, the point groups of higher crystal symmetries are covered as well. This simplifies the implementation effort to cover the calculations for any crystal symmetry. In the literature, several models can be found to estimate the polycrystalline elastic properties from single crystal elastic constants. In general, this is an intermediate step toward the calculation of th
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Dissertations / Theses on the topic "Voigt-Reuss-Hill"

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Hoeun, Sela. "Influence de l'adhésion entre les principales phases cimentaires sur le comportement mécanique de la pâte de ciment hydratée." Electronic Thesis or Diss., Ecole centrale de Nantes, 2023. http://www.theses.fr/2023ECDN0049.

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Cette thèse de doctorat porte sur la modélisation multi-échelle des propriétés mécaniques des matériaux cimentaires. L'objectif de cette thèse est d'obtenir les propriétés mécaniques des phases de pâte de ciment hydratées à l'échelle nanométrique à l'aide de simulations de Dynamique Moléculaire (DM). Les propriétés mécaniques de la pâte de ciment durcie à l'échelle microscopique ont ensuite été calculées à l'aide d'une méthode d'homogénéisation et de la Méthode Éléments Discrets (MED). En effet, les propriétés obtenues à l’échelle inférieure sont considérées comme les données d’entrée à l’éche
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Book chapters on the topic "Voigt-Reuss-Hill"

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Man, Chi-Sing, and Mojia Huang. "A Simple Explicit Formula for the Voigt-Reuss-Hill Average of Elastic Polycrystals with Arbitrary Crystal and Texture Symmetries." In Methods and Tastes in Modern Continuum Mechanics. Springer Netherlands, 2011. http://dx.doi.org/10.1007/978-94-007-1884-5_28.

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Conference papers on the topic "Voigt-Reuss-Hill"

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Ballato, Arthur. "Voigt-Reuss-Hill Moduli for Ferroelectric Aggregates." In 2006 IEEE International Symposium on the Applications of Ferroelectrics. IEEE, 2006. http://dx.doi.org/10.1109/isaf.2006.4387868.

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Kube, Christopher M., and Joseph A. Turner. "Voigt, Reuss, Hill, and self-consistent techniques for modeling ultrasonic scattering." In 41ST ANNUAL REVIEW OF PROGRESS IN QUANTITATIVE NONDESTRUCTIVE EVALUATION: Volume 34. AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4914698.

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Qian, Keran, Zhiliang He, Xiwu Liu, Yequan Chen, and Xiangyang Li. "A novel-brittleness equation for shale formation based on Voigt-Reuss-Hill average." In SEG Technical Program Expanded Abstracts 2017. Society of Exploration Geophysicists, 2017. http://dx.doi.org/10.1190/segam2017-17558033.1.

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Ambati, Lokesh, Upendra Tiwari, Irmawaty Bt Abdullah, and Sanjeev Rajput. "Transforming Subsurface Insights: A Rock Physics Atlas for Enhanced Seismic and Geomechanical Analysis." In International Geomechanics Conference. ARMA, 2024. https://doi.org/10.56952/igs-2024-0399.

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ABSTRACT: Wireline log data is essential for subsurface characterization, but incomplete data, such as missing shear sonic logs, can limit our understanding of rock properties. In this study, we developed a rock physics model to predict shear sonic logs in wells with missing data. The predicted logs were then used to estimate geomechanical properties, which showed excellent agreement with measured values. To further explore the implications of our results, we conducted fluid and lithology substitution modeling using the predicted elastic logs. This allowed us to investigate how different fluid
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Prasad, Umesh, Amer Hanif, Pranjal K. Bhatt, Hayat Abdi Ibrahim Jibar, Karem Alejandra Khan, and Andi Ahmad Salahuddin. "A New Method of Integrating Rockphysics and Geomechanics for Simulating Deformable and Permeable Behavior of Tight Carbonate for Optimised Reservoir Development." In 2022 SPWLA 63rd Annual Symposium. Society of Petrophysicists and Well Log Analysts, 2022. http://dx.doi.org/10.30632/spwla-2022-0017.

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The energy industry, including the new focus on geothermal and carbon sequestration processes, deals with porous and permeable formations. Under the influence of effective stress, these formations undergo elastic and inelastic deformation, fracturing, and failure, including porosity and permeability changes during production. Grain and Bulk moduli of elasticity are two key parameters that define net effective stress due to partitioning of stresses between the pore pressure and grain-to-grain contact stresses. Effective stress explains poroelastic behavior; however, tight rock behavior under in
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Prasad, Umesh, Amer Hanif, Ian McGlynn, Frank Walles, Ahmed Abouzaid, and Osman Hamid. "An Innovative Methodology for Estimating Rock Mechanical Properties from Weight or Volume Fractions of Mineralogy and its Application to Middle East Reservoirs." In SPE Middle East Oil & Gas Show and Conference. SPE, 2021. http://dx.doi.org/10.2118/204687-ms.

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Abstract The influences of mineralogy on rock mechanical properties have profound application in oil and gas exploration and production processes, including hydraulic fracturing operations. In conventional resources, the rock mechanical properties are predominantly controlled by porosity; however, in unconventional tight formations, the importance of mineralogy as a function of rock mechanical properties has not been fully investigated. In unconventional tight formations, mechanical properties are often derived from mineralogy weight fraction together with the best estimate of porosity, assump
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Morschbacher, Marcio José, Guilherme Fernandes Vasquez, Marcos Pozzato Figueiredo, Julio Cesar Ramos Justen, Flavia de Oliveira Lima Falcao, and Ana Lucia Matias Maria. "Biot Coefficient From Sonic Logs With Laboratory Data Calibration – A Brazillian Presalt Field Case Study." In 2024 SPWLA 65th Annual Symposium. Society of Petrophysicists and Well Log Analysts, 2024. https://doi.org/10.30632/spwla-2024-0003.

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The Biot or Biot-Willis coefficient is an important parameter for geomechanical models. It dictates the effective stress for rock compressibility. This parameter can be measured in the laboratory with careful geomechanical experiments, which can give accurate results. However, laboratory tests are relatively expensive because it demands sampling and time. Moreover, especially in oil exploration, rock sampling can be relatively scarce and biased. In this paper, we describe a case study where we measured the Biot coefficients of selected rock samples from a presalt Brazilian oil field. We also p
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