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 new method to generate the random fiber distribution in transverse cross-section of fiber reinforced composites with a desired high fiber volume fraction is presented, combined with random disturbance algorithm and perfect elastic collision algorithm, which can study the continuous changing trends of both statistical characterizations and mechanical properties of the RVE models from periodic distribution to random distribution.
Abstract: This article presents a new method to generate the random fiber distribution in transverse cross-section of fiber reinforced composites with a desired high fiber volume fraction. The method, combined with random disturbance algorithm and perfect elastic collision algorithm, generates the Representative Volume Element (RVE) models through shifting fibers and avoiding fibers overlapped. The advantage of this algorithm is that it can study the continuous changing trends of both statistical characterizations and mechanical properties of the RVE models from periodic distribution to random distribution. Through analysis with compare, the generated distribution models present a convergence state after a designated disturbance time whether the initial periodic distribution is rectangular or hexagonal. We find that the transverse tensile moduli of rectangular model are higher than the random model while the hexagonal model is on the contrary. The transverse shear modulus of random model is higher than rectangular model and close to hexagonal model. POLYM. COMPOS., 2015. © 2015 Society of Plastics Engineers
32 citations
TL;DR: In this paper, the authors combined analytical and numerical study of the extreme values of the thermal and elastic fields occurring in a propellant composite material, a granular medium containing dense self-assembled spheroidal grains embedded in a matrix.
32 citations
TL;DR: In this paper, one-and two-step homogenization models for predicting the stiffness of polymer-clay nanocomposites (PCN) with aligned particles were compared.
32 citations
TL;DR: In this article, the number of grains needed in a representative volume element (RVE) is evaluated for isotropic polycrystalline copper with random texture, by studying dispersion of effective mechanical response of crystalline aggregates of various sizes extracted at various positions in representative volume.
31 citations
TL;DR: In this paper, a voxel-based fiber packing algorithm is proposed with the three-dimensional fiber orientation tensor to describe the fiber distribution, and the porosity generated in the manufacturing process is also considered by adding spherical voids in the matrix region.
Abstract: A fundamental understanding of structure-property relationship of carbon fiber reinforced polymer (CFRP) composites fabricated by selective laser sintering (SLS) is essential to provide guidance to improve the mechanical properties in this promising additive manufacturing process. In the present study, we propose a new computational framework to evaluate the mechanical behavior of SLSed CFRP based on the representative volume element (RVE) model. Firstly, a new voxel-based fiber packing algorithm is proposed with the three-dimensional fiber orientation tensor to describe the fiber distribution. The porosity generated in the manufacturing process is also considered by adding spherical voids in the matrix region. In order to remove the artificial stress concentration induced by the voxel-based algorithm, a python script is developed to regenerate the geometries of different phases with conforming mesh. Meanwhile, the constitutive models of different phases in SLSed CFRP, i.e., matrix, fiber and interface, are established according to the material characteristics. Next, the proposed computational framework of SLSed CFRP is validated by the X-ray computed tomography (XCT) measurements and tensile tests of a representative SLSed carbon fiber/polyamide 12 (CF/PA12) composite. The effects of fiber volume fraction and fiber orientation distribution on the mechanical behavior of SLSed CF/PA12 composite are further quantitatively explored and ranked with regards to their influence on stiffness and failure strength.
31 citations