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, a generalized Hill's lemma for micro-macro homogenization modeling of heterogeneous gradient-enhanced Cosserat continuum is presented in the frame of the average-field theory.
Abstract: Based on the Hill’s lemma for classical Cauchy continuum, a generalized Hill’s lemma for micro-macro homogenization modeling of heterogeneous gradient-enhanced Cosserat continuum is presented in the frame of the average-field theory. In this context not only the strain and stress tensors defined in classical Cosserat continuum but also their gradients at each macroscopic sampling point are attributed to associated microstructural representative volume element (RVE). The admissible boundary conditions required to prescribe on the RVE for the modeling are extracted as a corollary of the presented generalized Hill’s lemma and discussed to ensure the satisfaction of the enhanced HilleMandel energy condition and the average-field theory.
33 citations
TL;DR: In this paper, a mesoscopic model which predicts the mechanical behavior of a unidirectional glass fiber-reinforced polymer composite under monotonic transverse traction is presented.
33 citations
TL;DR: In this paper, a micromechanical model is presented for predicting the longitudinal tensile strength of polymer matrix composites, which assumes strength is determined by fibre breaks within a representative volume element (RVE).
33 citations
TL;DR: In this article, the composite properties for a real distribution of piezoelectric particles in a cement matrix were determined using a representative volume element, and the scaled boundary finite element was used to measure the composite property.
Abstract: Determination of effective composite properties for a real distribution of piezoelectric particles in cement matrix is considered using a representative volume element. The scaled boundary finite e...
33 citations
TL;DR: In this article, the authors study laminar impinging jets on surfaces covered with a layer of a porous material and derive a set of equations that are valid for the entire computational domain, including both the porous layer attached to the surface and the fluid layer over the porous substrate.
Abstract: This work aims at studying laminar impinging jets on surfaces covered with a layer of a porous material. This contribution may provide insight into the design and optimization of heat and mass transfer processes over surfaces. Numerical simulations are presented and the porous substrate is treated as a rigid, homogeneous, and isotropic medium. Macroscopic transport equations are written for a representative elementary volume (REV), yielding a set of equations that is valid for the entire computational domain, including both the porous layer attached to the surface and the fluid layer over the porous substrate. These equations are discretized using the control-volume method and the resulting system of algebraic equations is relaxed using the Strongly Implicit Procedure (SIP) methods. The SIMPLE algorithm is used to handle the pressure–velocity coupling. Results for flow, in both clear and porous flow domains, are given in terms of streamlines patterns, velocity profiles, pressure contours, and friction coe...
33 citations