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 multi-scale model based on the concept of Representative Volume Element (RVE) is proposed linking a classical continuum at RVE level to a macro-scale strain-gradient theory.
28 citations
TL;DR: In this paper, a thermal self-consistent (TSC) model for n-layered fiber-reinforced composites is proposed. But the model does not consider the thermal properties of composite materials with property gradients.
28 citations
TL;DR: In this article, a three-dimensional representative volume element (RVE) of unidirectional composites with both randomly distributed fibers and periodic geometry was generated using DIGIMAT-FE software.
Abstract: A three-dimensional representative volume element (RVE) of unidirectional composites with both randomly distributed fibers and periodic geometry was generated using DIGIMAT-FE software. Finite element analysis of the stress transfer mechanisms around a fiber break in the RVE was performed via ABAQUS/Standard. The influences of distance to the broken fiber, fiber/matrix stiffness ratio and fiber volume fraction on the stress transfer process of intact fibers were discussed for the case of perfect fiber/matrix adhesion. The study shows that the nearest fibers and the second nearest fibers share the stress released from the broken fiber. The stress transfer coefficient and the ineffective stress transfer length of the nearest fibers was found to increase with the increasing distance to the broken fiber and the stiffness ratio, while decrease with the increasing fiber volume fraction. However, the trends in the two stress transfer parameters of the second nearest fibers are slightly different from those of the nearest fibers due to the random distribution of other intact fibers.
28 citations
TL;DR: This paper discusses the successful implementation of the local change of scale method using both the Implicit Finite Element (IFE) and Explicit Finite Volume (EFV) methods, and it is clear that the classical Representative Elementary Volume (REV) is too small and must be replaced by a larger ‘Darcy Representative Elementary volume’.
28 citations
07 Jul 2007-Metallurgical and Materials Transactions B-process Metallurgy and Materials Processing Science
TL;DR: In this article, the authors presented a computational modeling approach for predicting the mechanical behavior of polymer carbon nano-tubes (CNTs) using the continuum mechanics theory and finite element approach.
Abstract: This article presents a computational modeling approach for predicting the mechanical behavior of polymer carbon nano-tubes (CNTs). The CNT’s interaction with matrix material was modeled using the continuum mechanics theory and finite element approach. The effective mechanical properties of CNTs were then evaluated by using the finite element method (FEM) models. Two different models were constructed. The first model was a two-dimensional (2-D) axisymmetric nano-scale on a cylinder representative volume element (RVE). The second model considers a three-dimensional (3-D) finite element on a square representative volume element. Several numerical examples were carried out to investigate the stress distribution and to demonstrate the load carrying capacities of the CNT. Having known the stress and strain distributions, the material properties of the CNT can be easily calculated from the standard theory of elasticity. The computed results were compared with those obtained from the simple rule of mixture for validity. The results indicate that cylindrical RVEs tend to overestimate the effective Young’s moduli of the CNT-based composites while the obtained results from square RVEs are more reliable.
28 citations