scispace - formally typeset
Search or ask a question
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.


Papers
More filters
Journal ArticleDOI
TL;DR: In this article, a stochastic stability (DH-stability) concept is introduced to quantify the lower bound on the size of representative volume elements (RVEs) for random heterogeneous materials.
Abstract: This paper details a procedure to determine lower bounds on the size of representative volume elements (RVEs) by which the size of the RVE can be quantified objectively for random heterogeneous materials. Here, attention is focused on granular materials with various distributions of inclusion size and volume fraction of inclusions. An extensive analysis of the RVE size dependence on the various parameters is performed. Both deterministic and stochastic parameters are analysed. Also, the effects of loading mode and the parameter of interest are studied. As the RVE size is a function of the material, some material properties such as Young's modulus and Poisson's ratio are analysed as factors that influence the RVE size. The lower bound of RVE size is found as a function of the stochastically distributed volume fraction of inclusions; thus the stochastic stability of the obtained results is assessed. To this end a newly defined concept of stochastic stability (DH-stability) is introduced by which stochastic effects can be included in the stability considerations. DH-stability can be seen as an extension of classical Lyapunov stability. As is shown, DH-stability provides an objective tool to establish the lower bound nature of RVEs for fluctuations in stochastic parameters.

71 citations

Journal ArticleDOI
TL;DR: In this paper, simplified two-dimensional micromechanics and mesomechanics models have been introduced to predict the elastic behavior of 8-harness satin (8HS) woven fabric composites.
Abstract: In part I of this two-part paper, simplified two-dimensional micromechanics and mesomechanics models have been introduced to predict the elastic behavior of 8-harness satin (8HS) woven fabric composites. The woven warp and fill tows were independently treated as unidirectional composites and composite cylinder assemblage (CCA) theory was adopted to predict tow elastic properties from constituent fiber and matrix properties. Since evaluation of woven lamina stiffness requires an accurate description of tow geometry, a method was also developed to describe arbitrary tow geometries by mathematically fitting cubic splines and/or polynomials to micrographs of composite cross-sections. Finally, classical lamination theory was introduced to determine the overall elastic behavior of an n-layered composite laminate, assuming the woven lamina was a modified, two-layer laminate. The simplified mechanics model was evaluated using results from numerical strain energy and equivalent force approaches and results from a series of experimental Iosipescu shear tests and off-axis tensile tests on T650-35(3k), 8HS woven graphite-PMR 15 composites. Issues regarding exclusion of a matrix layer in the simplified, 2-layer laminate analysis were addressed in the strain energy analysis of an idealized 3-D, representative volume element (RVE). The mechanics model was found adequate in estimating the lower bounds of 8HS woven fabric, composite elastic properties. The model also provided a reasonable estimation of symmetric cross-ply composite properties.

71 citations

Journal ArticleDOI
TL;DR: A representative volume element using finite elements to study the buckling stability of graphene/polymer nanocomposites and significant improvements in buckling strength were observed under applied compressive loading when compared with the bucking stability of neat polymer.
Abstract: The aim of the research article is to develop a representative volume element using finite elements to study the buckling stability of graphene/polymer nanocomposites. Research work exploring the full potential of graphene as filler for nanocomposites is limited in part due to the complex processes associated with the mixing of graphene in polymer. To overcome some of these issues, a multiscale modeling technique has been proposed in this numerical work. Graphene was herein modeled in the atomistic scale, whereas the polymer deformation was analyzed as a continuum. Separate representative volume element models were developed for investigating buckling in neat polymer and graphene/polymer nanocomposites. Significant improvements in buckling strength were observed under applied compressive loading when compared with the buckling stability of neat polymer.

70 citations

Journal ArticleDOI
TL;DR: In this article, a microstructural constitutive model for twinning has been developed to study the deformation characteristics of magnesium alloy AZ31, where the concept of representative volume elements is used to identify internal stresses and strain localization in the material.

70 citations

Journal ArticleDOI
TL;DR: In this article, a twill-weave graphite epoxy laminate was characterized experimentally by microscopy of polished sections and the mechanical response under tensile loading was investigated and a microscopic assessement of the failure mechanisms was conducted.
Abstract: The mechanics of woven fabric-based laminated composites is complex, but computational models can contribute to its enhanced understanding. In this work the architecture of a twill-weave graphite epoxy laminate was characterized experimentally by microscopy of polished sections. The mechanical response under tensile loading was then investigated and a microscopic assessement of the failure mechanisms was conducted. The finite element approach was used to predict stiffness and strength using a suitable representative volume element from the twill-weave laminate. The role of texture and crimp ratio on the macroscopic stiffness and strength was investigated. Progressive failure was simulated numerically and stress distributions in the model were correlated with observed damage mechanisms.

70 citations


Network Information
Related Topics (5)
Fracture mechanics
58.3K papers, 1.3M citations
90% related
Finite element method
178.6K papers, 3M citations
89% related
Ultimate tensile strength
129.2K papers, 2.1M citations
84% related
Numerical analysis
52.2K papers, 1.2M citations
83% related
Composite number
103.4K papers, 1.2M citations
79% related
Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023134
2022241
2021243
2020293
2019287
2018253