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 article, a micromechanical approach is presented to estimate the overall linear elastic moduli of three phase composites consisting of two phase coated spherical particles randomly dispersed in a homogeneous isotropic matrix.
31 citations
TL;DR: In this paper, a stochastic microstructure model is used to generate densely-assembled 3D systems of curved, non overlapping fibers with specific orientation distributions, and the overall behavior of the fiber composites are computed for varying fiber curvature and orientation distributions.
31 citations
TL;DR: In vitro cell culture on laser processed porous CP-Ti surfaces showed normal cell proliferation with time, and confirmed non-toxic nature of these samples, and finite Element analysis using representative volume element (RVE) model and micro-computed tomography (CT) based model have been performed to understand the deformation behavior of laser deposited solid and porousCP-Ti samples.
31 citations
TL;DR: In this article, a partition of unity-based cohesive zone finite element model is employed to mimic crack nucleation and propagation in a piezoelectric continuum, and a multiscale framework to appropriately represent the influence of the microstructure on the response of a miniaturized component is proposed.
Abstract: The development of models for a priori assessment of the reliability of micro electromechanical systems is of crucial importance for the further development of such devices. In this contribution a partition of unity-based cohesive zone finite element model is employed to mimic crack nucleation and propagation in a piezoelectric continuum. A multiscale framework to appropriately represent the influence of the microstructure on the response of a miniaturized component is proposed. It is illustrated that using the proposed multiscale method a representative volume element exists. Numerical simulations are performed to demonstrate the constitutive homogenization framework. Copyright © 2009 John Wiley & Sons, Ltd.
31 citations
TL;DR: In this article, a second-order two-scale computational homogenization procedure for modeling deformation responses of heterogeneous materials at small strains is proposed, where the macro-to-micro transition and the application of generalized periodic boundary conditions on the representative volume element (RVE) at the micro-level are investigated.
Abstract: The present study deals with a second-order two-scale computational homogenization procedure for modeling deformation responses of heterogeneous materials at small strains The macro to micro transition and the application of generalized periodic boundary conditions on the representative volume element (RVE) at the microlevel are investigated The structure at macroscale level is discretized by the $$C^{1}$$ C 1 two dimensional triangular finite elements, while the $$C^{0}$$ C 0 quadrilateral finite element is used for the discretization of the RVE The finite element formulations and the new proposed multiscale scheme have been implemented into the finite element software ABAQUS using user subroutines derived Due to the $$C^{1}-C^{0}$$ C 1 - C 0 continuity transition, an additional integral condition on microlevel fluctuation field has to be imposed, as expected The integration has been performed using various numerical integration techniques and the results obtained are compared in a few examples It is concluded that only trapezoidal rule gives a physically based deformed shape of the RVE Finally, the efficiency and accuracy of the proposed multiscale homogenization approach are demonstrated by the modeling of a shear layer problem, usually used as a benchmark in multiscale analyses
31 citations