Data Portal @ linkeddatafragments.org

Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Representative_elementary_volume> ?p ?o. }

• Representative_elementary_volume abstract "In the theory of composite materials, the representative elementary volume (REV) (also called the representative volume element (RVE) or the unit cell) is the smallest volume over which a measurement can be made that will yield a value representative of the whole. In the case of periodic materials, one simply chooses a periodic unit cell (which, however, may be non-unique), but in random media, the situation is much more complicated. For volumes smaller than the RVE, a representative property cannot be defined and the continuum description of the material involves Statistical Volume Element (SVE) and random fields. The property of interest can include mechanical properties such as elastic moduli, hydrogeological properties, electromagnetic properties, thermal properties, and other averaged quantities that are used to describe physical systems.Rodney Hill defined the RVE as a sample of a heterogeneous material that:(a) is entirely typical of the whole mixture on average, and(b) contains a sufficient number of inclusions for the apparent properties to be independent of the surface values of traction and displacement, so long as these values are macroscopically uniform.”In essence, (a) is a statement about the material’s statistics (i.e. spatially homogeneous and ergodic), while (b) is a pronouncement on the independence of effective constitutive response with respect to the applied boundary conditions.Both of these are issues of mesoscale L of the domain of random microstructure over which smoothing (or homogenization) is being done relative to the microscale d. As L/d goes to infinity, the RVE is obtained, while any finite mesoscale involves statistical scatter and, therefore, describes an SVE. With these considerations one obtains bounds on effective (macroscopic) response of elastic (non)linear and inelastic random microstructures. In general, the stronger the mismatch in material properties, or the stronger the departure from elastic behavior, the larger is the RVE. The finite-size scaling of elastic material properties from SVE to RVE can be grasped in compact forms with the help of scaling functions universally based on stretched exponentials. Considering that the SVE may be placed anywhere in the material domain, one arrives at a technique for characterization of continuum random fields.Another definition of the RVE was proposed by Drugan and Willis: ‘‘It is the smallest material volume element of the composite for which the usual spatially constant (overall modulus) macroscopic constitutive representation is a sufficiently accurate model to represent mean constitutive response’’.The choice of RVE can be quite a complicated process. The existence of a RVE assumes that it is possible to replace a heterogeneous material with an equivalent homogeneous material. This assumption implies that the volume should be large enough to represent the microstructure without introducing non-existing macroscopic properties (such as anisotropy in a macroscopically isotropic material). On the other hand, the sample should be small enough to be analyzed analytically or numerically.".
• Representative_elementary_volume thumbnail Schematic_illustration_of_idealized_fiber_arrays_and_their_corresponding_unit_cells.png?width=300.
• Representative_elementary_volume wikiPageExternalLink 0510367.pdf.
• Representative_elementary_volume wikiPageExternalLink jmps-2008.20080730.48912673e42177.52392110.pdf.
• Representative_elementary_volume wikiPageExternalLink pem_2013.20131119.528bc645b0b8a4.33392372.pdf.
• Representative_elementary_volume wikiPageExternalLink 9781584884170.
• Representative_elementary_volume wikiPageID "11913417".
• Representative_elementary_volume wikiPageRevisionID "593692460".
• Representative_elementary_volume footer "Negative index metamaterial array configuration, which was constructed of copper split-ring resonators and wires mounted on interlocking sheets of fiberglass circuit board.".
• Representative_elementary_volume footer "Three-dimensional representative volume elements for monodisperse and polydisperse random composites.".
• Representative_elementary_volume footer "Two possible RVEs of a random composite. The RVE on the left is smaller than the one on the right. The distribution of particle sizes is identical in both RVEs.".
• Representative_elementary_volume hasPhotoCollection Representative_elementary_volume.
• Representative_elementary_volume image "RVE circle pp2.svg".
• Representative_elementary_volume image "RVE circle pp4.svg".
• Representative_elementary_volume image "RVE sphere 3D80.svg".
• Representative_elementary_volume image "Split ring resonator.png".
• Representative_elementary_volume image "Split-ring resonator array 10K sq nm.jpg".
• Representative_elementary_volume image "mono32_10_3D_2_1of5002.svg".
• Representative_elementary_volume width "200".
• Representative_elementary_volume width "250".
• Representative_elementary_volume subject Category:Continuum_mechanics.
• Representative_elementary_volume subject Category:Hydrogeology.
• Representative_elementary_volume subject Category:Volume.
• Representative_elementary_volume comment "In the theory of composite materials, the representative elementary volume (REV) (also called the representative volume element (RVE) or the unit cell) is the smallest volume over which a measurement can be made that will yield a value representative of the whole. In the case of periodic materials, one simply chooses a periodic unit cell (which, however, may be non-unique), but in random media, the situation is much more complicated.".
• Representative_elementary_volume label "Representative elementary volume".
• Representative_elementary_volume sameAs m.02rxr4l.
• Representative_elementary_volume sameAs Q7314248.
• Representative_elementary_volume sameAs Q7314248.
• Representative_elementary_volume wasDerivedFrom Representative_elementary_volume?oldid=593692460.
• Representative_elementary_volume depiction Schematic_illustration_of_idealized_fiber_arrays_and_their_corresponding_unit_cells.png.
• Representative_elementary_volume isPrimaryTopicOf Representative_elementary_volume.