Topic
Representative elementary volume
About: Representative elementary volume is a research topic. Over the lifetime, 4105 publications have been published within this topic receiving 86863 citations.
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TL;DR: In this paper, the influence of crystallographic texture and homogenization scheme on the yield surface for aluminium sheets has been studied numerically, and the resulting yield surfaces for aluminium with rolling and recrystallization textures are markedly different.
28 citations
TL;DR: In this paper, the effective elastic moduli of two-phase fibrous periodic composites are obtained by means of the Asymptotic Homogenization Method (AHM) and eigenfunction expansion-variational method (EEVM), for different types of parallelogram cells.
28 citations
TL;DR: In this article, a numerical study was carried out to determine the effect of the boron nitride nanotubes (BNNTs) as a reinforcement element for two different implant materials.
Abstract: A numerical study was carried out to determine the effect of the boron nitride nanotubes (BNNTs) as a reinforcement element for two different implant materials. Random distribution of the BNNTs was reconstructed using the random sequential adsorption algorithm in the beta tricalcium phosphate (β-TCP) and hydroxyapatite (HA) matrixes. A representative volume element (RVE) with 4% wt. of the BNNTs in β-TCP and HA matrixes was prepared. The predicted elastic moduli of the β-TCP-BNNTs and HA-BNNTs composites showed 24.1% and 26.3% enhancement, respectively, compared with the pure β-TCP and HA. To validate our finite element method (FEM) analysis results, we used a modified Halpin–Tsai (H-T) approach to calculate the elastic modulus of the models. The results showed that the FEM and H-T were in good agreement, with 1.5% and 2.7% deviations for the β-TCP-BNNTs and HA-BNNTs composites, respectively. In contrast, a major gap was found between our theoretical approaches and experimental results for the HA-BNNTs composite that is available in the literature. This deviation was probably a consequence of the manufacturing method of the composite, which was not considered in the RVE model.
28 citations
TL;DR: The lattice–particle model was integrated into a hierarchical homogenization-based scheme in which macroscopic material parameters are obtained from mesoscale simulations and a representative volume element (RVE) analysis was carried out, showing that such an RVE does exist in the post-peak regime and until localization takes place.
Abstract: This work presents a lattice-particle model for the analysis of steel fiber-reinforced concrete (SFRC). In this approach, fibers are explicitly modeled and connected to the concrete matrix lattice via interface elements. The interface behavior was calibrated by means of pullout tests and a range for the bond properties is proposed. The model was validated with analytical and experimental results under uniaxial tension and compression, demonstrating the ability of the model to correctly describe the effect of fiber volume fraction and distribution on fracture properties of SFRC. The lattice-particle model was integrated into a hierarchical homogenization-based scheme in which macroscopic material parameters are obtained from mesoscale simulations. Moreover, a representative volume element (RVE) analysis was carried out and the results shows that such an RVE does exist in the post-peak regime and until localization takes place. Finally, the multiscale upscaling strategy was successfully validated with three-point bending tests.
28 citations
TL;DR: In this article, a hierarchical multiscale modeling method is proposed to analyse the strain-hardening and multiple-cracking tensile fracture behavior of engineered cementitious composites, and the effect of fiber distribution uniformity on the tensile behaviour of ECC is investigated.
28 citations