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Showing 1 to 20 of 34 for “"representative volume element"”.
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Micro-Mechanics Based Representative Volume Element Modeling Of Heterogeneous Cementitious Materials
… material (Type-I cement) consisting of typical volume fractions of various constituent phases from digital microstructures. The microstructure is modeled as a micro-scale representative volume element (RVE) in ABAQUS to generate cubes several tens of microns in dimension and subjected to various …
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Development of a representative volume element of lithium-ion batteries for thermo-mechanical integrity
… casing by treating the interior as a homogenized Representative Volume Element. This study explains this process and outlines a procedure for the development of this particular model for both cylindrical and prismatic / pouch cells. Over twenty different mechanical tests were performed on …
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Multiscale modelling and an experimental investigation on size-scale effects in concrete
… parameters are associated with a so-called Representative Volume Element (RVE) and are a statistical average. This concept is based on the presumption that the specimen size is much larger than the size of its constituents, so that the behaviour of a single constituent can be neglected. This …
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Scale-Dependent Homogenization and Scaling Laws in Random Polycrystals
… In doing so, one infers the approach to the Representative Volume Element (RVE), the cornerstone of the separation of scales in continuum mechanics. The RVE is approached by setting up and solving stochastic Dirichlet and Neumann boundary value problems consistent with the Hill(-Mandel) …
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Mesoscale random fields of stiffness for in-plane elasticity
… microscale yet prior to the attainment of the representative volume element (RVE). Focusing on elastic moduli in particular, a micromechanical analysis based on the Hill-Mandel condition leads to the conclusion that two fields, stiffness and compliance, are required to bound the response of the …
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Constitutive modeling of the finite deformation behavior of membranes possessing a triangulated networked microstructure
… of the spectrin network is used to identify a representative volume element (RVE) for the model. A strain energy density function in terms of an arbitrary planar deformation field is proposed using the RVE. Differentiation of the strain energy density function provides expressions for the …
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Mechanical And Computational Evaluation Of Cementitious Materials With Hollow Glass Microsphere Inclusions
The effect of volumetric replacement of cementitious materials by an inert filler known as hollow glass microspheres on elastic properties is evaluated in this study through a combined computational and experimental approach. This approach considered the variation in properties of type I Portland …
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Investigative Application of the Intrinsic Extended Finite Element Method for the Computational Characterization of Composite Materials
… the mesh independent intrinsic extended finite element method (IXFEM). The IXFEM employs a localized intrinsic enrichment strategy to treat arbitrary discontinuities defined through the level-set method separate from the problem domain discretization, i.e. the finite element (FE) mesh. A global …
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Entwicklung mechanischer Modelle zur analytischen Beschreibung der Materialeigenschaften von textilbewehrtem Feinbeton
… heterogeneous structure of TRC the concept of representative volume elements (RVE) is used. RVEs are representative for the mesoscopic structure. The overall material behaviour on the macroscopic level is obtained by means of homogenisation of the heterogeneous material behaviour on the …
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Linear viscoelastic characteristics of Michigan asphalt mixtures and the effect of sample size on material properties
… objective of this study was to investigate the Representative Volume Element (RVE) requirement for complex (dynamic) modulus (|E*|) of asphalt mixtures. Small thin mixture beam (TBM) specimens (0.5"x0.25"x4.5") were tested using the Bending Beam Rheometer (BBR) testing machine to obtain the …
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Numerical analysis of homogenization using random finite element method
… had been homogeneous. A random finite element method (RFEM) has been developed involving an ideal block of material leading to direct evaluation of the effective properties. The approach involves a combination of finite element analysis, random field theory and Monte-Carlo simulation. …
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Effective elastic properties of two -dimensional solids with inhomogeneities of irregular shapes
… The procedure is based on the analysis of a representative volume element. We express the contribution of each inhomogeneity to the overall moduli of the composite in terms of the compliance contribution tensor. To calculate the components of this tensor, we devise a method that combines …
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Scale-dependent homogenization of elastic-viscoelastic random composites
… Here L_{RVE} refers to the size of so-called Representative Volume Element (RVE), while d is the microstructural scale (microconstituents’ size) and Lmacro is the macroscale. In the randomly structured media, the RVE is considered to contain a sufficiently large number of micro constituents …
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Avalanches, percolation, and stochastic damage evolution in disordered media
… which become relevant for mesoscales below the representative volume element (RVE) size. The overarching theme of this dissertation is modeling apparent properties of disordered systems on sub-RVE lengthscales using numerical techniques that are based on an explicit representation of the …
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A DEM for visualising damage evolution and predicting failure of composite lamina under uniaxial and biaxial loads
… experimental tests. In this thesis, Discrete Element Method (DEM) is developed for micromechanical modelling of fibre-reinforced composites. In Chapter 2, a new method is proposed for generating random fibre distribution. Unlike prior methods that have proposed, this method can be used to …
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An efficient three-dimensional database driven approach for multi scale homogenization
… at the macro level, the FE2 method assigns a representative volume element (RVE) of the materials microstructure at points across the macroscopic sample. This process results in the realization of a fully nested boundary value problem, where macroscopic quantities, required to model the …
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Finite element analysis of shear resistant mechanisms for biolaminate interfaces
… were also considered. A three dimensional finite element method (FEM) was used by employing ABAQUS® code. The current work also investigated possible mechanisms associated with delamination resistance and energy dissipation of the bio-laminate structures. The model structure for the fish scale in …
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Homogenization and elastic-plastic transitions in random and FGM microstructures
… leads to the problem of determination of the Representative Volume Element (RVE) that corresponds to the effective properties of materials. Microstructural randomness is inherent in these materials and hence we study the scaling from Statistical Volume Element (SVE) to RVE. Using Hill …
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On the Compaction of Granular Matter; Continuum and Discrete Numerical Modelling
… methods. A novel framework using the finite element method (FEM) in combination with the density-dependent Drucker-Prager Cap (dDPC) model and mixing/demixing rules is presented and demonstrated to be able to predict the compressibility and stress profiles of a wide range of powder …
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