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Academic literature on the topic 'Representative elementary volumes'

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Published: 7 July 2024
Last updated: 7 July 2024

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Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Journal articles on the topic "Representative elementary volumes":

1

Lukas, M. Keller. "On the representative elementary volumes of clay rocks at the mesoscale." Journal of Geology and Mining Research 7, no. 6 (June 19, 2015): 58–64. http://dx.doi.org/10.5897/jgmr2015.0224.

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Yoon, Hongkyu, and Thomas A. Dewers. "Nanopore structures, statistically representative elementary volumes, and transport properties of chalk." Geophysical Research Letters 40, no. 16 (August 19, 2013): 4294–98. http://dx.doi.org/10.1002/grl.50803.

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Montagne, David, Isabelle Cousin, Lydie Le Forestier, Joël Daroussi, and Sophie Cornu. "Quantification of soil volumes in the Eg & Bt-horizon of an Albeluvisol using image analysis." Canadian Journal of Soil Science 87, no. 1 (January 1, 2007): 51–59. http://dx.doi.org/10.4141/s05-029.

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In this study, we provide a strategy to quantify the effects on soil evolution of driving forces such as human activities or global change. This strategy was developed for situations in which soil evolution resulted in the formation of a complex juxtaposition of soil volumes with distinct properties including soil colours. It is based on image analysis. Our approach proceeds in two steps: (1) to find the minimum sample size over which the soil anisotropy can be neglected and (2) to define a Representative Elementary Volume (REV) of that sample. This approach was developed on the Eg & Bt horizon of a drained Albeluvisol in which three decimetric soil monoliths were sampled at 60, 110 and 210 cm from a drain. The monoliths were sliced into 1.5-cm horizontal layers. Each slice was photographed and studied by image analysis. At the monolith scale, there was neither lateral nor vertical anisotropy. The sampled monoliths were larger than the REV allowing quantification of the different soil volumes constituting this particular horizon. We quantified significant evolutions of the abundance of the different soil volumes characterized by their colour as a function of the distance to the drain. Such a quantification of the effects on soil evolution of human activities or global change equally applies for Podzols, Calcisols or Gleysols for which pedogenesis also resulted in contrasted soil colour evolutions. Key words: Soil change, pedogenesis quantification, artificial drainage, image analysis, Albeluvisol, representative elementary volume
4

Ukrainczyk, N., and E. A. B. Koenders. "Representative elementary volumes for 3D modeling of mass transport in cementitious materials." Modelling and Simulation in Materials Science and Engineering 22, no. 3 (February 28, 2014): 035001. http://dx.doi.org/10.1088/0965-0393/22/3/035001.

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Milani, Marco, J. Germán Rubino, Tobias M. Müller, Beatriz Quintal, Eva Caspari, and Klaus Holliger. "Representative elementary volumes for evaluating effective seismic properties of heterogeneous poroelastic media." GEOPHYSICS 81, no. 2 (February 18, 2016): D21—D33. http://dx.doi.org/10.1190/geo-2015-0173.1.

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Milani, Marco, J. Germán Rubino, Tobias M. Müller, Beatriz Quintal, Eva Caspari, and Klaus Holliger. "Representative elementary volumes for evaluating effective seismic properties of heterogeneous poroelastic media." GEOPHYSICS 81, no. 2 (March 1, 2016): D169—D181. http://dx.doi.org/10.1190/geo2015-0173.1.

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Understanding and quantifying seismic energy dissipation in fluid-saturated porous rocks is of considerable interest because it offers the perspective of extracting information with regard to the elastic and hydraulic rock properties. An important, if not dominant, attenuation mechanism prevailing in the seismic frequency band is wave-induced fluid pressure diffusion in response to the contrasts in elastic stiffness in the mesoscopic-scale range. An effective way to estimate seismic velocity dispersion and attenuation related to this phenomenon is through the application of numerical upscaling procedures to synthetic rock samples of interest. However, the estimated seismic properties are meaningful only if the underlying sample volume is at least of the size of a representative elementary volume (REV). In the given context, the definition of an REV and the corresponding implications for the estimation of the effective seismic properties remain largely unexplored. To alleviate this problem, we have studied the characteristics of REVs for a set of idealized rock samples sharing high levels of velocity dispersion and attenuation. For periodically heterogeneous poroelastic media, the REV size was driven by boundary condition effects. Our results determined that boundary condition effects were absent for layered media and negligible in the presence of patchy saturation. Conversely, strong boundary condition effects arose in the presence of a periodic distribution of finite-length fractures, thus leading to large REV sizes. The results thus point to the importance of carefully determining the REV sizes of heterogeneous porous rocks for computing effective seismic properties, especially in the presence of strong dry frame stiffness contrasts.
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Teruel, Federico E., and Rizwan-uddin. "Numerical computation of macroscopic turbulence quantities in representative elementary volumes of the porous medium." International Journal of Heat and Mass Transfer 53, no. 23-24 (November 2010): 5190–98. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2010.07.041.

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Bruns, S., S. L. S. Stipp, and H. O. Sørensen. "Statistical representative elementary volumes of porous media determined using greyscale analysis of 3D tomograms." Advances in Water Resources 107 (September 2017): 32–42. http://dx.doi.org/10.1016/j.advwatres.2017.06.002.

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Khassanov, Damir I., and Marat A. Lonshakov. "The investigation of the scale effect on porosity in Bashkirian limestones." Izvestiya of Saratov University. New Series. Series: Earth Sciences 21, no. 2 (June 24, 2021): 137–47. http://dx.doi.org/10.18500/1819-7663-2021-21-2-137-147.

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The article presents the methodology of the representative elementary volume definition for two 1 m long whole core segments. Scientific articles focused on practical methods of representative volume calculations using various physical parameter fluctuations have been studied. Porosity values of every whole core fragment evaluated in two ways using the 7.3 cm diameter core samples in the first approach and the 3 cm diameter core samples in the second one have been compared. Particularities of the scale effect occurring in core samples and depending on core size and porosity type have been analyzed. The cause of porosity increase in big core samples has been determined. The reason due to which porosity changes are explained by fracture porosity occurring in core samples having big volumes has been found. The comparison between neutron log porosity and core porosity has been made. Reasons of similarities or differences of core and log data have been established.
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Hendrick, A. G., R. G. Erdmann, and M. R. Goodman. "Practical Considerations for Selection of Representative Elementary Volumes for Fluid Permeability in Fibrous Porous Media." Transport in Porous Media 95, no. 2 (August 2, 2012): 389–405. http://dx.doi.org/10.1007/s11242-012-0051-8.

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Journal articles

Dissertations / Theses on the topic "Representative elementary volumes":

1

Tran, Quang Vu. "Locally heterogeneous three-dimensional fibrous media : Representative elementary volumes and calculation of acoustic properties." Electronic Thesis or Diss., Université Gustave Eiffel, 2023. http://www.theses.fr/2023UEFL2081.

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Cette thèse explore les relations complexes entre microstructures, propriétés acoustiques et processus de fabrication des matériaux fibreux non tissés. Elle étudie deux familles de milieux fibreux composites, issues de fibres textiles recyclées (coton, PET), offrant une diversité de polydispersité. Grâce à la caractérisation microstructurale et à l'homogénéisation numérique, ces travaux ont permis d'identifier les paramètres clés associés aux propriétés de transport et d'absorption sonore.Les diamètres moyens pondérés en volume Dv et en volume inverse Div se sont révélés être des descripteurs géométriques essentiels. Ils expliquent les comportements acoustiques à différentes fréquences, révélant que les échanges visqueux et thermiques se produisent à travers les canaux les plus larges de la microstructure à basse fréquence, tandis qu'à haute fréquence, la signature acoustique est influencée par l'ensemble de la microstructure, y compris les étranglements les plus petits. Les contributions originales de cette recherche comprennent (1) le développement des Volumes Élémentaires Représentatifs (VERs) pour les milieux fibreux polydisperses; (2) la résolution d'un problème d'optimisation basé sur le degré de polydispersité; (3) et la proposition d'une technique expérimentale pour estimer les propriétés de transport à hautes fréquences de milieux fibreux résistifs. En somme, cette thèse offre des perspectives prometteuses pour la compréhension et l'optimisation des propriétés acoustiques des milieux fibreux polydisperses, tout en identifiant les descripteurs microstructuraux cruciaux pour ces matériaux complexes
This thesis explores the complex relationship between the structures, acoustic properties, and manufacturing processes of non-woven fiber materials. Two families of composite fibrous media, derived from recycled textile fibers and recycled PET fibers, were studied, offering a diversity of polydispersity. Through microstructural characterization and numerical homogenization, this research identified key parameters associated with transport and sound absorption properties.The volume-weighted mean diameter Dv and inverse volume weighted mean diameter Div were found to be essential geometric descriptors. They explain acoustic behaviors at different frequencies, revealing that viscous and thermal exchanges occur through the widest channels of the microstructure at low frequencies; while at high frequencies, the acoustic signature is influenced by the entire microstructure, including the smallest constrictions.The original contributions of this research include (1) the development of Representative Elementary Volumes (REVs) for polydisperse fibrous media; (2) solving an optimization problem based on the degree of polydispersity; (3) and proposing an experimental technique to estimate transport properties at high frequencies.In summary, this thesis offers promising perspectives for understanding and optimizing the acoustic properties of polydisperse fibrous media while identifying crucial microstructural descriptors for these complex materials
2

Zhou, Pin. "The Use of the Continuity Factor as a Tool to Represent Representative Elementary Volume in Rock Engineering Design." Licentiate thesis, KTH, Jord- och bergmekanik, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-144591.

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Min, Ki-Bok. "Determination of equivalent hydraulic and mechanical properties of fractured rock masses using the distinct element method." Licentiate thesis, KTH, Land and Water Resources Engineering, 2002. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-1550.

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The equivalent continuum approach uses equivalent propertiesof rock mass as the input data for a continuum analysis. Thisis a common modeling method used in the field of rock mechanicsand hydrogeology. However, there are still unresolvedquestions; how can the equivalent properties be determined andis the equivalent continuum approach suitable for modeling thediscontinuous fractured rock mass.

The purpose of this paper is to establish a methodology todetermine the equivalent hydraulic and mechanical properties offractured rock masses by explicit representations of stochasticfracture systems, to investigate the scale-dependency of theproperties, and to investigate the conditions for theapplication of the equivalent continuum approach for thefractured rock masses. Geological data used for this study arefrom the site characterization of Sellafield, Cumbria, UK. Aprogram for the generation of stochastic Discrete FractureNetwork (DFN) is developed for the realization of fractureinformation and ten parent DFN models are constructed based onthe location, trace length, orientation and density offractures. Square models with the sizes varying from 0.25 m× 0.25 m to 10 m × 10 m are cut from the center ofthe each parent network to be used for the scale dependencyinvestigation. A series of the models in a parent network arerotated in 30 degrees interval to be used for investigation oftensor characteristic. The twodimensional distinct elementprogram, UDEC, was used to calculate the equivalentpermeability and compliance tensors based on generalizedDarcy’s law and general theory of anisotropic elasticity.Two criteria for the applicability of equivalent continuumapproach were established from the investigation: i) theexistence of properly defined REV (Representative ElementaryVolume) and ii) existence of the tensor in describing theconstitutive equation of fractured rock The equivalentcontinuum assumption cannot be accepted if any one of the abovetwo criteria is not met. Coefficient of variation and meanprediction error is suggested for the measures toquantitatively evaluate the errors involved in scale dependencyand tensor characteristic evaluation.

Equivalent permeability and mechanical properties (includingelastic modulus and Poisson’s ratios) determined onrealistic fracture network show that the presence of fracturehas a significant effect on the equivalent properties. Theresults of permeability, elastic moduli and Poisson's ratioshow that they narrow down with the increase of scale andmaintain constant range after a certain scales with someacceptable variation. Furthermore, Investigations of thepermeability tensor and compliance tensor in the rotated modelshow that their tensor characteristics are satisfied at acertain scale; this would indicate that the uses of theequivalent continuum approach is justified for the siteconsidered in this study.

The unique feature of the thesis is that it gives asystematic treatment of the homogenization and upscaling issuesfor the hydraulic and mechanical properties of fractured rockswith a unified approach. These developments established a firmfoundation for future application to large-scale performanceassessment of underground nuclear waste repository byequivalent continuum analysis.

Keywords :Equivalent continuum approach, Equivalentproperty, Representative Elementary Volume (REV), DistinctElement Method, Discrete Fracture Network (DFN)

4

Baghbanan, Alireza. "Scale and Stress Effects on Hydro-Mechanical Properties of Fractured Rock Masses." Doctoral thesis, KTH, Teknisk geologi och geofysik, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-4772.

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In this thesis, the effects of size and stress on permeability, deformability and strength of fractured rock masses are investigated. A comparison study was carried out to examine the effects of considering, or not considering, the correlation between distributions of fracture apertures and fracture trace lengths on the hydro-mechanical behavior of fractured rocks. The basic concepts used are the fundamental principles of the general theory of elasticity, Representative Elementary Volume (REV), the tensor of equivalent permeability, and the strength criteria of the fractured rocks. Due to the size and stress dependence of the hydro-mechanical properties of rock fractures, the overall effective (or equivalent) hydro-mechanical properties of the fractured rocks are also size and stress-dependent. However, such dependence cannot be readily investigated in laboratory using small samples, and so numerical modeling becomes a necessary tool for estimating their impacts. In this study, a closed-form relation is established for representing the correlation between a truncated lognormal distribution of fracture apertures and a truncated power law distribution of trace lengths, as obtained from field mapping. Furthermore, a new nonlinear algorithm is developed for predicting the relationship between normal stress and normal displacement of fractures, based on the Bandis model and the correlation between aperture and length. A large number of stochastic Discrete Fracture Network (DFN) models of varying sizes were extracted from some generated large-sized parent realizations based on a realistic fracture system description from a site investigation programme at Sellafield, UK, for calculating the REV of hydro-mechanical properties of fractured rocks. Rotated DFN models were also generated and used for evaluation of the distributions of directional permeabilities, such that tensors of equivalent permeability could be established based on stochastically established REVs. The stress-dependence of the permeability and the stress-displacement behaviour were then investigated using models of REV sizes. The Discrete Element Method (DEM) was used for numerical simulation of the fluid flow, deformability properties and mechanical strength behavior of fractured rocks. The results show significant scale-dependency of rock permeability, deformability and strength, and its variation when the correlation between aperture and trace length of fractures are concerned, with the overall permeability and deformability more controlled by dominating fractures with larger apertures and higher transmissivity and deformability, compared with fracture network models having uniform aperture. As the second moment of aperture distribution increases, a fractured rock mass shows more discrete behavior and an REV is established in smaller value of second moment with much larger model size, compared with the models with uniform fracture aperture. When the fracture aperture pattern is more scattered, the overall permeability, Young’s modulus and mechanical strength change significantly. The effect of stress on permeability and fluid flow patterns in fractured rock is significant and can lead to the existence or non-existence of a permeability tensor. Stress changes the fluid flow patterns and can cause significant channeling and the permeability tensor, and REV may be destroyed or re-established at different applied stress conditions. With an increase in the confining stress on the DEM models, the strength is increased. Compared with the Hoek-Brown criterion, the Mohr-Coulomb strength envelope provides a better fit to the results of numerical biaxial compression tests, with significant changes of the strength characteristic parameters occurring when the second moment of the aperture distribution is increased.
QC 20100702
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Noorian-Bidgoli, Majid. "Strength and deformability of fractured rocks." Doctoral thesis, KTH, Mark- och vattenteknik, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-155719.

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This thesis presents a systematic numerical modeling framework to simulate the stress-deformation and coupled stress-deformation-flow processes by performing uniaxial and biaxial compressive tests on fractured rock models with considering the effects of different loading conditions, different loading directions (anisotropy), and coupled hydro-mechanical processes for evaluating strength and deformability behavior of fractured rocks. By using code UDEC of discrete element method (DEM), a series of numerical experiments were conducted on discrete fracture network models (DFN) at an established representative elementary volume (REV), based on realistic geometrical and mechanical data of fracture systems from field mapping at Sellafield, UK. The results were used to estimate the equivalent Young’s modulus and Poisson’s ratio and to fit the Mohr-Coulomb and Hoek-Brown failure criteria, represented by equivalent material properties defining these two criteria. The results demonstrate that strength and deformation parameters of fractured rocks are dependent on confining pressures, loading directions, water pressure, and mechanical and hydraulic boundary conditions. Fractured rocks behave nonlinearly, represented by their elasto-plastic behavior with a strain hardening trend. Fluid flow analysis in fractured rocks under hydro-mechanical loading conditions show an important impact of water pressure on the strength and deformability parameters of fractured rocks, due to the effective stress phenomenon, but the values of stress and strength reduction may or may not equal to the magnitude of water pressure, due to the influence of fracture system complexity. Stochastic analysis indicates that the strength and deformation properties of fractured rocks have ranges of values instead of fixed values, hence such analyses should be considered especially in cases where there is significant scatter in the rock and fracture parameters. These scientific achievements can improve our understanding of fractured rocks’ hydro-mechanical behavior and are useful for the design of large-scale in-situ experiments with large volumes of fractured rocks, considering coupled stress-deformation-flow processes in engineering practice.

QC 20141111

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Farichah, Himatul, and 法麗佳. "Representative Elementary Volume of P32 and Hydraulic Conductivity of Fractured Rock masses." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/u97928.

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碩士
國立中央大學
土木工程學系
105
This study presents the representative elementary volume (REV) of P32 (fracture intensity) and hydraulic conductivity of fractured rock mass. Discrete fracture network (DFN) generated by FracMan is adopted to create rock mass models. A series of parametric studies including dip angle, dip direction, Fisher constant κ, size of rock mass model, shape of rock mass model, specimen volume, fracture diameter, and P32 were investigated to study the REV of P32. Based on the results of the parametric studies, a novel equation to quantify the COV (Coefficient of variance) of P32 in terms of specimen volume, fracture diameter and P32 was established. A precise REV size can be obtained easily by assigning the acceptable COV. Thereafter, some case studies were used to verify the proposed novel equation. Conventional Oda and Oda gold were adopted to estimate the hydraulic conductivity of the fractured rock mass. By using Oda conventional, a series of parametric studies including specimen volume, fracture diameter, P32, transmissivity, and aperture were investigated to study the REV of hydraulic conductivity. Subsequently, that REV of hydraulic conductivity was compared with the REV of P32. In the other hand, by using Oda gold, only P32 was chosen as parametric study. Eventually, a proposed new method was conducted by examining the Monte Carlo simulation for REV of hydraulic conductivity determination.
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Chen, Chih-Yang, and 陳志揚. "Scale Effect of Representative Elementary Volume and Related Hydraulic Parameters for Fractured Rock Mass and Associated Influence on Results of Groundwater Flow Simulation." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/est592.

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碩士
國立臺北科技大學
資源工程研究所
105
In recent years, the large-scale construction projects and environmental resources related issues had brought attentions and rapid development on hydrogeology and other academic field connected to it. Rock engineering, including large-scale underground laboratory, tunnel excavation and hydrogeological well site, requires a certain degree of understanding on hydrogeology and hydraulic parameters, in order to facilitate subsequent planning and related construction. However, the presence of discontinuities in rock mass generates heterogeneity and anisotropy in its engineering characteristics, increasing variation of hydraulic and conductivity parameters, resulting in difficulty for determining representative parameters. Investigation and characterization of hydrogeological parameters of fracture rock masses are crucial to underground water exploiting. Among which, defining the hydrogeological representative elementary volume of the site is one of the key items. How to evaluate the hydrogeological unit to the scale of the target rock engineering is an important issue in hydrogeological parameters characterization. Based on previous research results, this thesis present an assessment process for representative elementary volume on hydraulic parameter characterization on account of a hydraulic parameter characterization model for fractured rock mass. Investigation and statistical test are applied to estimate the variation degrees of representative elementary volume in site and associated hydraulic conductivity in rock mass, which further determine the scale influence on each hydraulic characteristic parameters, the methodology of the establishment and extension of application is through by Heshe hydrogeological well site, and another tunnel case project in initiative in north Taiwan. The evaluation method of representative elementary volume in hydraulic characteristic establish by statistical error propagation theory to calculate the varying degrees between the characteristic parameters and hydraulic conductivity, and the empirical formula of different hydraulic conductivity is discussed to find the variation range and plotted out different scales in a result. In order to understand the behavior of hydraulic conductivity associated with representative elementary volume changes, this research applies groundwater modeling system to establish numerical model and analysis it. Firstly, the anisotropy is simulated with a single element, the error between the two elements is calculated by numerical solution and analytic solution. Then, convert the goal of simulation scale to in-situ cross-hole pumping test which in heshe well site. Secondly, parameter sensitivity analysis is carried out to understand the representative elementary volume and its related parameters. Scale variation is using for complete numerical simulation methodology parallel verification, and establish the accuracy and correctness of the model. The case study is aimed at extending the application of different representative elementary volumes on the volume of seepage flow caused by tunnel excavation, which extend the application of methodologies in a large number of site surveys and numerical models. The results show that the representative elementary volume evaluation program can effectively describe the change of the hydraulic characteristic parameters and the hydraulic conductivity coefficient with the scale variation by the statistical error propagation accumulation theory, and verify the groundwater anisotropy by numerical simulation. The related parameter sensitivity analysis shows that the numerical solution and the analytical solution will produce a certain range of errors in the setting of the boundary condition. The determination of the error value can provide the numerical model to improve the accuracy and correctness of the subsequent research. The hydraulic characteristic parameters of representative elementary volumes are on different scales, which changed in the groundwater seepage caused by tunneling, that with a certain degree of influence of groundwater through the three-dimensional simulation. We provide a valuable technical reference from the conceptual model, narrative model, and hydraulics model all the way to numerical model, through the outcome of methodology in designing verification and applying in this study.

Books on the topic "Representative elementary volumes":

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Göttler, Christine, and Mia M. Mochizuki. Landscape and Earth in Early Modernity. Nieuwe Prinsengracht 89 1018 VR Amsterdam Nederland: Amsterdam University Press, 2022. http://dx.doi.org/10.5117/9789463729437.

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Early modern views of nature and the earth upended the depiction of land. Landscape emerged as a site of artistic exploration at a time when environments and ecologies were reshaped and transformed. This volume historicizes the contingency of an ever-changing elemental world, reframing and reimagining landscape as a mediating space in the interplay between the natural and the artificial, the real and the imaginary, the internal and the external. The lens of the “unruly” reveals the latent landscapes that undergirded their conception, the elemental resources that resurfaced from the bowels of the earth, the staged topographies that unsettled the boundaries between nature and technology, and the fragile ecologies that undermined the status quo of human environs. Landscape and Earth in Early Modernity: Picturing Unruly Nature argues for an art history attentive to the vicissitudes of circumstance and attributes the regrounding of representation during a transitional age to the unquiet landscape.

Book chapters on the topic "Representative elementary volumes":

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Andreeva, M. V., A. V. Kalyuzhnyuk, V. V. Krutko, N. E. Russkikh, and I. A. Taimanov. "Representative Elementary Volume via Averaged Scalar Minkowski Functionals." In Lecture Notes in Mechanical Engineering, 533–39. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-92144-6_40.

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Bachmat, Yehuda, and Jacob Bear. "On the Concept and Size of a Representative Elementary Volume (Rev)." In Advances in Transport Phenomena in Porous Media, 3–20. Dordrecht: Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-009-3625-6_1.

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"Representative Elementary Volume." In Encyclopedia of Agrophysics, 693. Dordrecht: Springer Netherlands, 2011. http://dx.doi.org/10.1007/978-90-481-3585-1_794.

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"A Representative Elementary Volume of a Porous Medium." In Nanothermodynamics, 255–74. WORLD SCIENTIFIC, 2023. http://dx.doi.org/10.1142/9789811275005_0017.

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Pan, H., J. Wan, and X. Liang. "A method for determining representative elementary volume of rock masses." In Water-Rock Interaction. Taylor & Francis, 2007. http://dx.doi.org/10.1201/noe0415451369.ch28.

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Moriarty, John A. "Local Volume Effects on Defects and Free Surfaces." In Theory and Application of Quantum-Based Interatomic Potentials in Metals and Alloys, 460–79. Oxford University PressOxford, 2023. http://dx.doi.org/10.1093/oso/9780198822172.003.0011.

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Abstract In this chapter, we transform the total-energy functional for elemental metals, as given by generalized pseudopotential theory (GPT), from a bulk representation based on the global atomic volume to an electron-density representation based on the local valence electron density. This local electron density (LED) representation of the GPT allows one to treat surface energies directly, as well as important local volume effects on defect energies in nontransition metals. Also possible in the case of transition metals is an alternate hybrid method, which retains the LED framework for non-d electrons, but for the d electrons joins the model-GPT with a compatible local density-of-states representation of the d-state energy contributions. This hybrid method is able to treat surface relaxation and reconstruction in central transition metals. Recently, a refined and extended LED version of GPT permits a first-principles calculation of forces and stresses for nontransition metals, in what is now called the adaptive GPT or aGPT. This advance allows fully relaxed defect and surface calculations, as well as dynamic aGPT molecular dynamics simulations.
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Braudeau, Erik, and Rabi H. Mohtar. "Soil-water Modelling Framework Using Pedostructure and Structural Representative Elementary Volume (SREV) Concepts." In Novel Perspectives of Geography, Environment and Earth Sciences Vol. 2, 111–38. B P International (a part of SCIENCEDOMAIN International), 2023. http://dx.doi.org/10.9734/bpi/npgees/v2/17671d.

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Baranov, L. A., and Y. A. Ermolin. "AN OPERATIONAL RELIABILITY MEASURE FOR ONE CLASS OF TECHNICAL OBJECTS." In Intellectual Transport Systems, 34–37. Russian University of Transport, Moscow, Russian Federation, 2023. http://dx.doi.org/10.30932/9785002182794-2023-34-37.

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The reliability of one class of technical objects – tree-like transportation networks – is discussed. Mathematically, such a network as a oriented, simple connected, acyclic graph is represented. A network accomplished the «collecting» function and is designed for transportation of 2product» from several inlet vertex to one output. The operational reliability measure of object as the ratio of product volume undelivered to an output resulting from network elements failures, to f volume arrived at network inputs during a certain time is proposed. The basis for developed method is a representation of the network by a combination of Y-like fragments named as structure-forming elements. Each such element is formally substituted by a fictitious equivalent element with a failure rate leading to the same output for the same input. A sequential application of this approach reduced the problem to elementary subproblems for wich the solution is simple. The advantages the introduced reliability measure for an considered class of technical objects are analyzed. The outlook its employment in engineering practice is noted.
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Sanguigno, Luigi, Marcello Antonio Lepore, and Angelo Rosario Maligno. "Characterization of Titanium Metal Matrix Composites (Ti-MMC) Made Using Different Manufacturing Routes." In Advances in Transdisciplinary Engineering. IOS Press, 2021. http://dx.doi.org/10.3233/atde210030.

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The mechanical and morphological properties of the unidirectional metal matrix composite (MMC) in titanium alloy reinforced with continuous silicon carbide (SiC) fibres are investigated. The lay-up manufacturing process known as the Foil / Fibre (FF) lay-up was compared with the matrix-coated-fibre (CF) method which promises a better final shape of the reinforcing fibre net. Tensile tests were performed to measure mechanical performance of the manufactured MMCs both longitudinally and transversely respect to the direction of SiC fibres. Elastic behaviour of the investigated MMCs was assumed orthotropic and related to mechanical properties and spatial distribution of the MMC constituents: SiC fibres and Titanium (Ti) matrix. This was achieved using micromechanical modelling based on Finite Element (FE) calculations. FE micromechanical modelling was carried out on the Representative Elementary Volume (REV) of the MMC microstructure resolved by non-destructive analysis such as X-Ray tomography. The analysis carried out highlighted and justified mechanical performance difference between composite laminates containing the same amount of SiC reinforcement fibres for unit of volume but made following different manufacturing routes. To compute overall orthotropic behaviour of the MMC laminate, each constituent was assumed as an elastic isotropic heterogeneity during the averaging. This simplify assumption was validated by comparison with experimental data during the mechanical characterization of the investigated MMC composites.
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Zhou, P., and F. Johansson. "On the use of the continuity factor for rock mass properties based on a literature review of the representative elementary volume." In Rock Engineering and Rock Mechanics: Structures in and on Rock Masses, 427–31. CRC Press, 2014. http://dx.doi.org/10.1201/b16955-71.

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Conference papers on the topic "Representative elementary volumes":

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Li, Yang, Tong Wang, Xin-Lin Xia, Chuang Sun, Qing Ai, and Heping Tan. "PORE-LEVEL DETERMINATION OF REPRESENTATIVE ELEMENTARY VOLUMES FOR EXTINCTION COEFFICIENTS OF METAL FOAMS." In International Heat Transfer Conference 16. Connecticut: Begellhouse, 2018. http://dx.doi.org/10.1615/ihtc16.rti.022501.

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Haussener, Sophia, Wojciech Lipin´ski, Peter Wyss, and Aldo Steinfeld. "Tomography-Based Analysis of Radiative Transfer in Reacting Packed Beds Undergoing a Solid-Gas Thermochemical Transformation." In ASME 2009 Heat Transfer Summer Conference collocated with the InterPACK09 and 3rd Energy Sustainability Conferences. ASMEDC, 2009. http://dx.doi.org/10.1115/ht2009-88030.

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A reacting packed bed undergoing a high-temperature thermochemical solid-gas transformation is considered. The steam-gasification of carbonaceous materials into syngas is selected as the model reaction. The exact 3D geometrical configuration of the packed bed is obtained by computer tomography, digitalized, and used in direct pore-level simulations to characterize its morphological and radiative transport properties as a function of the reaction extent. Two-point correlation functions and mathematical morphology operations are applied to calculate porosities, specific surfaces, particle size distributions, and representative elementary volumes. The collision-based Monte Carlo method is applied to determine the probability distribution of attenuation path length and direction of incidence at the solid-fluid boundary, which are linked to the extinction coefficient, scattering phase function, and albedo. These effective properties can then be incorporated in continuum domain modeling of the packed bed.
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Goldfarb, Eric J., Ken Ikeda, and Nicola Tisato. "Evaluating samples smaller than the representative elementary volume (REV)." In First International Meeting for Applied Geoscience & Energy. Society of Exploration Geophysicists, 2021. http://dx.doi.org/10.1190/segam2021-3594787.1.

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Wu, Xuehai, John G. Georgiadis, and Assimina A. Pelegri. "Biphasic Representative Elemental Volumes for 3-D White Matter Elastography." In ASME 2021 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/imece2021-73372.

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Abstract White matter (WM) characterization is challenging due to its anisotropic and inhomogeneous microstructure that necessitates multiscale and multi-modality measurements. Shear elastography is one such modality that requires the accurate interpretation of 3D shear strain measurements, which hinge on developing appropriate constitutive tissue models. Finite element methods enable the development of such models by simulating the shear response of representative elemental volumes (REV). We have developed triphasic (axon, myelin, glia), 2D REVs to simulate the influence of the intrinsic viscoelastic property and volume fraction of each phase. This work constitutes the extension of 2D- to 3D-REVs, focusing on the effect of the intrinsic material properties and their 3D representation on the viscoelastic response of the tissue. By lumping the axon and myelin phases, a flexible 3D REV generation and analysis routine is then developed to allow for shear homogenization in both the axial and transverse directions. The 2D and 3D models agree on stress distribution and total deformation when 2D cross-sectional snapshots are compared. We also conclude that the ratio of transverse to axial transverse modulus is larger than one when axon fibers are stiffer than the glial phase.
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Konovalov, D. A., E. O. Smirnova, and A. S. Smirnov. "Determining AlMg6/10%SiCp representative elementary volume size by kinetic indentation." In MECHANICS, RESOURCE AND DIAGNOSTICS OF MATERIALS AND STRUCTURES (MRDMS-2018): Proceedings of the 12th International Conference on Mechanics, Resource and Diagnostics of Materials and Structures. Author(s), 2018. http://dx.doi.org/10.1063/1.5084483.

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Mathieu, Jean-Philippe, Olivier Diard, Karim Inal, and Sophie Berveiller. "Micromechanical Modeling of Brittle Fracture of French RPV Steel: A Comprehensive Study of Stress Triaxiality Effect." In ASME 2008 Pressure Vessels and Piping Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/pvp2008-61334.

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The present study describes a multiscale representation of mechanisms involved in brittle fracture of a french Reactor Pressure Vessel (RPV) steel (16MND5 equ. ASTM A508 Cl.3) at low temperatures. Attention will be focused on the representation of stress heterogeneities inside the ferritic matrix during plastic straining, which is considered as critical for further micromechanical approach of brittle fracture. This representation is tuned on experimental results [1]. Modeling involves micromechanical a description of plastic glide, a mean field (MF) model and a realistic three-dimensional aggregates Finite Element (FE) simulation, all put together inside a multiscale approach. Calibration is done on macroscopic stress-strain curves at different low temperatures, and modeling reproduces experimental stress heterogeneities. This modeling allows to apply a local micromechanical fracture criterion of crystallographic cleavage for triaxial loadings on the Representative Volume Element (RVE). Deterministic computations of time to fracture for different carbide sizes random selection provide a probability of fracture for an Elementary Volume (EV) consistant with the local approach. Results are in good agreement with hypothesis made by local approach to fracture. Hence, the main difference is that no phenomenological dependence on loading or microstructure is supposed for probability of fracture on the EV: this dependence is naturally introduced by the micromechanical description.
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Al Hattamleh, O., M. Razavi, and B. Muhunthan. "Experimental determination of representative elementary volume of sands using X-ray computed tomography." In MATERIALS CHARACTERISATION 2009. Southampton, UK: WIT Press, 2009. http://dx.doi.org/10.2495/mc090141.

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Mbodj, Coumba, Mathieu Renouf, Laurent Baillet, and Yves Berthier. "Modeling of Carbon/Carbon Composites Under Tribological Solicitations." In STLE/ASME 2010 International Joint Tribology Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/ijtc2010-41133.

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The present work proposes a methodology study of Carbon/Carbon composites under dynamical stress and conditions of rubbing contact. It is based on the use of finite elements method (FEM), and homogenization technique is applied an elementary cell of composite under contact condition. The comparison of random equivalent representative volume element underlines the importance to take into account the contact interface in such process.
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Keehm, Youngseuk, and Tapan Mukerji. "Permeability and relative permeability from digital rocks: Issues on grid resolution and representative elementary volume." In SEG Technical Program Expanded Abstracts 2004. Society of Exploration Geophysicists, 2004. http://dx.doi.org/10.1190/1.1845147.

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Zhou, Feng, Nicholas Hansen, and Ivan Catton. "Obtaining Closure for Heat Exchanger Modeling Based on Volume Averaging Theory (VAT)." In 2010 14th International Heat Transfer Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/ihtc14-22971.

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Volume Averaging Theory (VAT) has been used to rigorously cast the point-wise conservation of energy, momentum and mass equations into a form that represents the thermal and hydraulic properties of heat exchanger channel morphology. At the lower level, the media is described by a representative elementary volume (REV). Closure terms in the VAT equations are related to a local friction factor and a heat transfer coefficient of the REV. The terms in the closure expressions are complex and are evaluated using scaling suggested by VAT from either experimental data or the output of a CFD code. The VAT equations for a finned tube heat exchanger are given and that the key parameters can be obtained by suitable scaling is demonstrated.

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