Готові списки джерел за темами / Voigt-Reuss-Hill

Добірка наукової літератури з теми "Voigt-Reuss-Hill"

Автор: Grafiati

Опубліковано: 7 липня 2024

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Статті в журналах з теми "Voigt-Reuss-Hill":

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 (October 2, 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 (December 1, 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 (May 4, 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.

Liu, Jide, Xiaoming Du, Xue Wang, Ming Xie, Jinguo Li, Shangqiang Zhao, Yizhou Zhou, Qiao Zhang, and Jiheng Fang. "First-Principles Calculations of Elasticity Properties of AgW₂₀ Alloy." Journal of Physics: Conference Series 2459, no. 1 (March 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.

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 (June 1, 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 is 0.581; this shows that C2CaNa has low resistance opposed to shear deformation. The B/G ratio evaluated for C2CaNa is 1.72. This implies that C2CaNa is “brittle” in nature at ambient condition. Our calculated elastic constants (C11, C12, and C44) for C2CaNa satisfied the following mechanical stability conditions for cubic structure: C11 – C12 > 0, C44 > 0, and C11 + 2C12 > 0. The value of C12 is an indication that C2CaNa is mechanically stable. This examination gives important experiences into the primary dependability and mechanical way of behavior of this material, this will empower advance material plan and application.

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 modification of the effective characteristics for the calculation of the stress-strain state of bodies (two-layer shell and three-layer plate) made from composite materials. The results are compared with the exact classical solutions, and admissible concordance is achieved.

Li, Ang, Liyan Zhang, Jianguo Yang, Shichao Li, Fei Xiao, Yulai Yao, Yiming Huang, Bo Liu, and Longsheng Li. "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 and bond transform to achieve the simulation of shale anisotropy. Based on the proposed model, the effects of the organic volume fraction, porosity, and pore aspect ratio on rock elastic properties are discussed. The result shows that with the increase of matrix porosity, all elastic parameters show a decreasing trend; with the increase of the organic volume fraction, except shear modulus, other elastic parameters show an increasing trend. Through comparative analysis, the elastic parameters (Lamé impedance and Shear impedance) sensitive to the organic volume fraction and porosity are optimized; the seismic petrophysical cross-plot template with core calibration is constructed. The application shows that the predicted S-wave velocity based on the proposed model is in good agreement with the S-wave velocity derived from dipole source logging. Combined with the high-precision prestack elastic parameter inversion, the “sweet spot” characteristics can be well described, and the research could contribute to a better “sweet spot” description and provide a better support for shale exploration in Sanzhao sag.

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 indicate that the L12-Ti (Al, Pt)3exhibits larger anisotropy and more ductile than L12-TiAl3.

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 and ZrB2 result form their electronic structures.

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 (April 30, 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 the polycrystalline response to different techniques using X-rays, neutrons, or ultrasonic waves. In the case of X-ray residual stress analysis, the final goal is the calculation of X-ray Elastic constants. Contrary to the models of Reuss, Voigt, and Hill, the Kröner–Eshelby model has the benefit that, because of the implementation of the Eshelby inclusion model, it can be expanded to cover more complicated systems that exhibit multiple phases, inclusions or pores and that these can be optionally combined with a polycrystalline matrix that is anisotropic, i.e., contains texture. We will discuss a recent theoretical development where the approaches of calculating bounds of Reuss and Voigt, the tighter bounds of Hashin–Shtrikman and Dederichs–Zeller are brought together in one unifying model that converges to the self-consistent solution of Kröner–Eshelby. For the implementation of the Kröner–Eshelby model the well-known Voigt notation is adopted. The 4-rank tensor operations have been rewritten into 2-rank matrix operations. The practical difficulties of the Voigt notation, as usually concealed in the scientific literature, will be discussed. Last, we will show a practical X-ray example in which the various models are applied and compared.

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Дисертації з теми "Voigt-Reuss-Hill":

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’échelle supérieure. À l'échelle nanométrique, le test de traction et le test de cisaillement ont été réalisés avec les principales phases de la pâte de ciment hydratées à l'aide de simulations DM. En conséquence, des propriétés mécaniques à l’échelle nanométrique ont été obtenues. Une autre approche pour obtenir le module de Young et le coefficient de Poisson a été réalisée via l'approximation de Voigt-Reuss-Hill. Avec la méthode d'homogénéisation (i.e., Mori-Tanaka), le module d'Young et le coefficient de Poisson d'une pâte de ciment durcie simplifiée ont été calculés. Enfin, une simulation MED a été réalisée avec un essai de traction d'une pâte de ciment durcie simplifiée en prenant en compte les propriétés mécaniques à l'échelle nanométrique. Cette thèse de doctorat contribue à créer le pont permettant de réaliser la transition de l’échelle moléculaire à l’échelle microscopique continue
This PhD thesis focuses on the multi-scale modelling of mechanical properties of cementitious materials. The aim of this PhD thesis is to obtain the mechanical properties of hydrated cement paste phases at nano-scale using Molecular Dynamics (MD) simulations. Mechanical properties of hardened cement paste at micro-scale were then calculated with homogenization scheme and Discrete Element Method (DEM). Indeed, properties obtained at the lower scale are considered as the input data at the upper scale. At nano-scale, tensile test and shear test were performed with main hydrated cement paste phases (i.e., calcium-silicate-hydrates, portlandite and ettringite) via MD simulations. As a result, mechanical properties at nano-scale were obtained. Another approach to obtain Young’s modulus and Poisson ratio was done via Voigt-Reuss-Hill approximation. With homogenization scheme (i.e., Mori-Tanaka scheme), Young’s modulus and Poisson’s ratio of a simplified hardened cement paste were calculated. Finally, DEM simulation was done with tensile test of a simplified hardened cement paste by taking into account the mechanical properties at the nano-scale. This PhD thesis contributes to create the bridge of achieving the transition from the molecular scale to the continuous microscopic scale

Частини книг з теми "Voigt-Reuss-Hill":

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, 449–68. Dordrecht: Springer Netherlands, 2011. http://dx.doi.org/10.1007/978-94-007-1884-5_28.

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Тези доповідей конференцій з теми "Voigt-Reuss-Hill":

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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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-situ conditions is still not predictable. This paper proposes a new method, which uses formation evaluation (FE) measurements, and an integration of rock physics and geomechanics concepts, to constrain effective stress in tight rocks. Examples are presented demonstrating the usefulness of the work. Effective stress (σ′) is expressed as the difference between total applied stress (σ) and pore pressure multiplied by Biot’s coefficient (α). The ‘α’ for highly porous rocks is unity where applied load is counteracted equally by grain-matrix and pore-pressure. However, for tight rocks, only a fraction of load is shared by pore fluid and the ‘α’ is much smaller than unity. Biot’s coefficient ‘α’ is expressed in terms of bulk modulus (Kb) and matrix modulus (Kma). Kb is estimated from acoustic logs as well as measured by hydrostatic compression tests in the laboratory. However, Kma is much more difficult to measure safely and economically, especially in tight or very low permeable formations, and as such, the common practice is to estimate it theoretically. A simple and clear methodology is proposed to estimate Kma from FE logs as well asX-RayDiffraction (XRD) mineralogy obtained from formation core and drill cuttings. Kma can be constrained by an upper-bound (Voigt, 1910), a lower- bound (Reuss, 1929), and an average of the two, (Hill, 1963) models. Kb, on the other hand, can be reliably estimated using dynamic acoustic wave velocity and the static equivalents calculated during calibrations from core tests under net effective in-situ stress conditions. The Kma and Kb, thus obtained, will give a good estimate of Biot’s coefficient ‘α’ in tight rocks. The work provides an improved estimate of net- effective-stress in tight rocks, which leads to safety and cost savings through better prediction of drilling rates, hydraulic fracture design and production decline. The work also examines a new method in which Kma could be estimated by weight fraction of minerals.

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, assumption of fluid types, the extent of pore fillings, and fluid properties. These properties are then adjusted for their volumetric fractions and subsequently calibrated with acoustics or geomechanical lab measurements. A new method is presented that utilizes mineralogy weight fractions (determined from well logs or laboratory measurements). This process uses public domain information of minerals using Voigt and Reuss averaging algorithms as upper and lower bounds, respectively. An average of these bounds (also known as Hill average) provides a representative value for these parameters. Further, based on isotropic conditions, all the elastic properties are calculated. A typical output consisting of bulk-, shear-, and Young's - modulus, together with Poisson's ratio obtained from traditional methods of volume fractions and this new method using weight fractions is discussed and analyzed along with the sensitivity and the trends for individual rock properties. Furthermore, corresponding strengths, hardness, and fracture toughness could also be estimated using well known public domain algorithms. Data from carbonate reservoirs has been discussed in this work. This method shows how to estimate grain compressibility that can be challenging to be measured in the lab for unconventional tight rock samples. In low-porosity samples, the relative influence of porosity is negligible compared to the mineralogy composition. This approach reduces several assumptions and uncertainties associated with accurate porosity determination in tight rocks as it does not require the amount of pore fluids and fluid properties in calculations. The grain-compressibility and bulk-compressibility (measured by hydrostatic tests in the laboratory on core plugs or calculated from density and cross-dipole log) are used to calculate poroelastic Biot's coefficient, as this coefficient will be used to calculate in-situ principal effective stresses (overburden, minimum horizontal, and maximum horizontal stresses), which are, together with rock properties and pore pressure, constitutes the geomechanical model. The geomechanical model is used for drilling, completions, and hydraulic fracture modeling, including wellbore stability, and reservoir integrity analyses.