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Journal articles on the topic 'Representative Volume Element (RVE)'

Author: Grafiati

Published: 4 June 2021

Last updated: 7 September 2023

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1

Shahzamanian, M. M., and W. J. Basirun. "Modeling of Cementitious Representative Volume Element with Additives." Journal of Multiscale Modelling 08, no. 02 (2017): 1750003. http://dx.doi.org/10.1142/s1756973717500032.

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CEMHYD3D has been employed to simulate the representative volume element (RVE) of cementitious systems (Type I cement) containing fly ash (Class F) through a voxel-based finite element analysis (FEA) approach. Three-dimensional microstructures composed of voxels are generated for a heterogeneous cementitious material consisting of various constituent phases. The primary focus is to simulate a cementitious RVE containing fly ash and to present the homogenized macromechanical properties obtained from its analysis. Simple kinematic uniform boundary conditions as well as periodic boundary conditio

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2

Ostoja-Starzewski, M. "Microstructural Randomness Versus Representative Volume Element in Thermomechanics." Journal of Applied Mechanics 69, no. 1 (2001): 25–35. http://dx.doi.org/10.1115/1.1410366.

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Continuum thermomechanics hinges on the concept of a representative volume element (RVE), which is well defined in two situations only: (i) unit cell in a periodic microstructure, and (ii) statistically representative volume containing a very large (mathematically infinite) set of microscale elements (e.g., grains). Response of finite domains of material, however, displays statistical scatter and is dependent on the scale and boundary conditions. In order to accomplish stochastic homogenization of material response, scale-dependent hierarchies of bounds are extended to dissipative/irreversible

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Kudrjavčeva, Ljudmila T., and Milan V. Mićunović. "ON DIFFUSE INSTABILITY OF ORTHOTROPIC VISCOPLASTIC PLATES." Journal of the Serbian Society for Computational Mechanics 15, no. 2 (2021): 101–10. http://dx.doi.org/10.24874/jsscm.2021.15.02.10.

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Elastic strain is covered by the effective medium homogenization method inside a representative volume element (RVE). It has an incremental quasi rate-independent (QRI) form obtained by the endochronic concept of thermodynamic time. The rate dependence takes place by means of stress rate dependent value of the initial yield stress. Free meso rotations and constrained micro rotations within a representative volume element (RVE) are assumed. A comparison between QRI and J2 diffuse instability equations is presented for orthotropic materials. A new QRI nonlinear evolution equation for orthotropic

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Nasser, Houssein, A. Deraemaeker, and Salim Belouettar. "Electric Field Distribution in Macro Fiber Composite Using Interdigitated Electrodes." Advanced Materials Research 47-50 (June 2008): 1173–76. http://dx.doi.org/10.4028/www.scientific.net/amr.47-50.1173.

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In this paper, an attempt has been made to understand the electric field distribution in the Representative Volume Element (RVE) of the Macro Fiber Composite (MFC) using interdigitated electrodes IDEs. Since the magnitude of the electric field within the Representative Volume Element (RVE) using the IDEs is not uniform, an electrostatic study of the electric field behavior is carried out. An approximate RVE model with conventional electrodes, which is useful for the analytical solution, has been proposed instead of the RVE model with IDEs. Finally, the results obtained by the proposed analytic

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TANG, C., M. A. SHEIKH, and D. R. HAYHURST. "FINITE ELEMENT MODELING OF TRANSVERSE DEFORMATION IN REPRESENTATIVE VOLUME ELEMENTS OF CERAMIC MATRIX COMPOSITES (CMCs)." Journal of Multiscale Modelling 02, no. 01n02 (2010): 107–26. http://dx.doi.org/10.1142/s1756973710000308.

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The paper reports the use of the finite element method to model longitudinal and transverse deformation of representative volume elements (RVE) of ceramic matrix composites subjected to uniaxial loading parallel to fibers. Cohesive elements have been used to model two forms of damage: fracture initiation and propagation both within the matrix, and along the fiber–matrix interface. From the knowledge of the constituent materials behavior, the FE technique has been used to predict the stress–strain behavior and the variation of Poisson's ratio of the RVE due to these two damage forms; but the mo

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Zhang, Nan, and Cheng Hong Duan. "Property Prediction of Composites with Different Fiber Volume Fractions by Representative Volume Element Method." Applied Mechanics and Materials 275-277 (January 2013): 1605–9. http://dx.doi.org/10.4028/www.scientific.net/amm.275-277.1605.

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In this paper, a representative volume element (RVE) model of composites with different fiber volume fraction is established by ANSYS finite element software. The stiffness matrix of the RVE model can be calculated by studying its stress field, and then the elastic properties of composites could be obtained. By comparing with the results from NASA empirical equation, the reliability of the method can be proved. This is a new way to predict the elastic properties of composites.

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7

Liu, Cheng Jun, Yi Xia Zhang, and Chun Hui Yang. "Representative Volume Element-Based Modelling of Closed-Cell Aluminum Foams ." Applied Mechanics and Materials 846 (July 2016): 530–34. http://dx.doi.org/10.4028/www.scientific.net/amm.846.530.

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This paper presents a representative volume element (RVE)-based modelling method to capture the mechanical behaviour of aluminum foams under compressive loadings. Octadecahedron is selected as a geometric basis shape to form closed cells of the aluminum foams in the microstructured RVE model to simulate the mechanical behaviour under compressive loadings. The stress-strain relationship obtained from the numerical modelling is compared to that from experimental study and agreements between these results demonstrate the validity of the proposed RVE model. Through observing the deformation evolut

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8

Ballard, Michael K., and John D. Whitcomb. "Effective use of cohesive zone-based models for the prediction of progressive damage at the fiber/matrix scale." Journal of Composite Materials 51, no. 5 (2016): 649–69. http://dx.doi.org/10.1177/0021998316651127.

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The onset and growth of damage in fiber/matrix composites under transverse loads were modelled using cohesive elements and representative volume elements of randomly arranged fibers. Switching between iterative schemes, using an appropriate tolerance and load increment size, and using an extrapolated solution as an initial guess for load increments led to over an order of magnitude reduction in the solution time. The effect of several model parameters on the failure properties for the next larger scale was studied. The crack path did exhibit a dependence on the mesh, but the RVE strength and a

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9

Du, X., and M. Ostoja-Starzewski. "On the size of representative volume element for Darcy law in random media." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 462, no. 2074 (2006): 2949–63. http://dx.doi.org/10.1098/rspa.2006.1704.

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Most studies of effective properties of random heterogeneous materials are based on the assumption of the existence of a representative volume element (RVE), without quantitatively specifying its size L relative to that of the micro-heterogeneity d . In this paper, we study the finite-size scaling trend to RVE of the Darcy law for Stokesian flow in random porous media, without invoking any periodic structure assumptions, but only assuming the microstructure's statistics to be spatially homogeneous and ergodic. By analogy to the existing methodology in thermomechanics of random materials, we fi

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10

Liu, Jianjun, Mingyang Wu, Zhengwen Zhu, and Zuliang Shao. "A Study on the Mechanical Properties of the Representative Volume Element in Fractal Porous Media." Geofluids 2017 (2017): 1–10. http://dx.doi.org/10.1155/2017/7905218.

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Natural porous structure is extremely complex, and it is of great significance to study the macroscopic mechanical response of the representative volume element (RVE) with the microstructure of porous media. The real porous media RVE is generated by an improved quartet structure generation set (QSGS), and the connectivity of the reconstructed porous media models is analyzed. The fractal dimension of the RVE is calculated by the box-counting method, which considers the different porosity, different fractal dimension, and different mechanical properties of the matrix. Thus, the stress-strain cur

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11

Ostoja-Starzewski, Martinos, X. Du, Z. F. Khisaeva, and W. Li. "On the Size of Representative Volume Element in Elastic, Plastic, Thermoelastic and Permeable Random Microstructures." Materials Science Forum 539-543 (March 2007): 201–6. http://dx.doi.org/10.4028/www.scientific.net/msf.539-543.201.

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The Representative Volume Element (so-called RVE) is the corner stone of continuum mechanics. In this paper we examine the scaling to RVE in linear elasticity, finite elasticity, elasto-plasticity, thermoelasticity, and permeability of random composite materials.

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12

Ab Ghani, Ahmad Fuad. "Parametric Study on Volume Fraction of Representative Volume Element (RVE) CFRP and GFRP Towards Tensile Properties." Malaysian Journal of Applied Sciences 5, no. 2 (2020): 17–29. http://dx.doi.org/10.37231/myjas.2020.5.2.238.

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The properties such as fibre content, orientation, dimension of constituent fibres (diameter), level of intermixing of fibres, interface bonding between fibre and matrix, and arrangement of fibres between different types of fibres, influences the mechanical properties of hybrid composite.Representative Volume Element (RVE) for each constituent CFRP and GFRP assumed isotropic behavior for carbon fibre, glass fibre and epoxy resin matrix and assumed to be perfectly bonded interface between fibre and matrix region i.e. strain compatibility at the interface. The scope of study on the micro mechani

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Yu, Wenbin. "An Introduction to Micromechanics." Applied Mechanics and Materials 828 (March 2016): 3–24. http://dx.doi.org/10.4028/www.scientific.net/amm.828.3.

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This article provides a brief introduction to micromechanics using linear elastic materials as an example. The fundamental micromechanics concepts including homogenization and dehomogenization, representative volume element (RVE), unit cell, average stress and strain theories, effective stiffness and compliance, Hill-Mandel macrohomogeneity condition. This chapter also describes the detailed derivations of the rules of mixtures, and three full field micromechanics theories including finite element analysis of a representative volume element (RVE analysis), mathematical homogenization theory (M

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14

Wang, Qianwen, Fa Zhang, Zhenqian Lu, Dongfeng Cao, and Xiwen Jia. "Numerical Tensile Damage Procedure Analysis of Angle-Ply Laminate Using Multi-Scale RVEs with Smear Crack Models." Materials 15, no. 6 (2022): 2002. http://dx.doi.org/10.3390/ma15062002.

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This paper reported the tensile failure strengths and damage procedure of composite laminate manufactured from the toughened-epoxy T800 prepreg at multi-scale levels. According to the exterior and interior distinction of each layer in laminate, the macro/mesoscale representative volume element (macro-RVE, meso-RVE) was first constructed, respectively. Then the micro-scale representative volume element (micro-RVE) with a hexagonal fiber-packed pattern in the interior zone of each layer in the laminate was finally determined on the principle of the same fiber volume fraction between the composit

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15

Li, Yujun, Zengzhi Yu, Stefanie Reese, and Jaan-Willem Simon. "Evaluation of the out-of-plane response of fiber networks with a representative volume element model." June 2018 17, no. 06 (2018): 329–39. http://dx.doi.org/10.32964/tj17.06.329.

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Many natural and synthetic materials have fibrous microstructures, including nonwoven fabrics, paper, and fiberboard. Experimentally evaluating their out-of-plane mechanical behavior can be difficult because of the small thickness compared with the in-plane dimension. To properly predict such properties, network-scale models are required to obtain homogenized material mechanics by considering fiber-scale mechanisms. We demonstrate a three-dimensional representative volume element (RVE) for fiber networks using the finite element method. We first adopted the classical deposition procedure to ge

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16

Bazios, Panagiotis, Konstantinos Tserpes, and Spiros Pantelakis. "Computation of elastic moduli of nanocrystalline materials using Voronoi models of representative volume elements." MATEC Web of Conferences 188 (2018): 02006. http://dx.doi.org/10.1051/matecconf/201818802006.

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In the present work, a numerical model is developed to predict the Young’s modulus and shear modulus of nanocrystalline materials using a Finite Element Analysis. The model is based on Representative Volume Elements (RVE) in which the microstructure of the material is described using the Voronoi tessellation algorithm. The use of the Voronoi particles was based on the observation of the morphology of nanocrystalline materials by Scanning Electron and Transmission Electron Microscopy. In each RVE, three-dimensional modelling of the grain and grain boundaries as randomly-shaped sub-volumes is pe

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Różański, Adrian, Dariusz Łydżba, and Piotr Jabłoński. "NUMERICAL STUDY OF THE SIZE OF REPRESENTATIVE VOLUME ELEMENT FOR LINEAR ELASTICITY PROBLEM." Studia Geotechnica et Mechanica 35, no. 2 (2013): 67–81. http://dx.doi.org/10.2478/sgem-2013-0024.

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Abstract In the paper, a numerical study of the size of representative volume element for the linear elasticity problem is performed. The calculations are carried out for three different types of random microstructures: checkerboard, the Ising model microstructure and Debye microstructure. It is postulated and then verified that there exists a relation between the morphology of microstructure contained in the lineal-path function and the minimum RVE size. It is confirmed, on the basis of numerical examples, that for all the microstructures considered the largest lineal-path can be treated as t

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18

Al-Hamzawi, Mortda Mohammed Sahib, and Szabolcs Szávai. "Optimization of weight and elastic properties for unidirectional glass fiber reinforced composites." Multidiszciplináris tudományok 11, no. 5 (2021): 206–14. http://dx.doi.org/10.35925/j.multi.2021.5.21.

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Glass fibers reinforcing composites (GFRC) are the most common industrial materials due to their low weight and superior strength. Microstructure modeling provides a practical approach for predicting the behavior of the composite based on the constituent's property. The weight and mechanical properties of composite materials play a significant role in various applications such as aviation, marines, and vehicles industries. In this study, a microstructure model of (GFRC) is developed for a multi-objective optimization problem involving trade-offs between weight minimizing and material stiffness

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19

Yin, Guang Ji, Xiao Bao Zuo, Xiang Hua Sun, and Yu Juan Tang. "Simulation of Expansive Stress in Cement-Based Materials Subjected to Sulfate Attack." Advanced Materials Research 952 (May 2014): 165–68. http://dx.doi.org/10.4028/www.scientific.net/amr.952.165.

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For the volume expansive of cement-based materials subjected to sulfate attack, based on microporous mechanics, the model of representative volume element (RVE) is established to analyze the distribution of microcosmic expansive stress in RVE. By homogenization method, the macroscopic equivalent stress of RVE is analyzed. The results show: on the microcosmic scale, the stress of internal sphere in RVE in all directions is compressive, and the radial stress of spherical shell is compressive, but the hoop stress is tensile; on macroscopic scale, the radial equivalent stress is compressive, the h

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20

Staňák, P., J. Sládek, V. Sládek, and S. Krahulec. "Numerical Evaluation Of Effective Thermal Properties For Materials With Variable Porosity." Building Research Journal 61, no. 3 (2014): 129–42. http://dx.doi.org/10.2478/brj-2014-0010.

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Abstract In this paper a computational homogenization technique is applied to thermal analyses in porous materials. A volume fraction of pores on the microstructural level is the key factor that changes the macroscopic thermal properties. Thus, the distribution of thermal fields at the macroscopic level is analysed through the incorporation of the microstructural response on the representative volume element (RVE) assuming a uniform distribution of pores. For the numerical analysis the scaled boundary finite element method (SBFEM) is introduced to compute the thermal response of RVE. The SBFEM

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21

Wojciechowski, Marek. "Minimal Kinematic Boundary Conditions for Computational Homogenization of the Permeability Coefficient." Acta Mechanica et Automatica 11, no. 3 (2017): 199–203. http://dx.doi.org/10.1515/ama-2017-0030.

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AbstractIn the paper, computational homogenization approach is used for recognizing the macroscopic permeability from the microscopic representative volume element (RVE). Flow of water, at both macro and micro level, is assumed to be ruled by Darcy law. A special averaging constraint is used for numerical flow analysis in RVE, which allows to apply macroscopic pressure gradient without the necessity to use directly Dirichlet or Neumann boundary conditions. This approach allows arbitrarily shaped representative volumes and eliminates undesirable boundary effects. Generated effective permeabilit

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22

Devireddy, Siva Bhaskara Rao, and Sandhyarani Biswas. "Effect of Fiber Geometry and Representative Volume Element on Elastic and Thermal Properties of Unidirectional Fiber-Reinforced Composites." Journal of Composites 2014 (November 18, 2014): 1–12. http://dx.doi.org/10.1155/2014/629175.

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The aim of present work is focused on the evaluation of elastic and thermal properties of unidirectional fiber-reinforced polymer composites with different volume fractions of fiber up to 0.7 using micromechanical approach. Two ways for calculating the material properties, that is, analytical and numerical approaches, were presented. In numerical approach, finite element analysis was used to evaluate the elastic modulus and thermal conductivity of composite from the constituent material properties. The finite element model based on three-dimensional micromechanical representative volume elemen

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Tu, Zecan, Junkui Mao, Junjun Mao, and Hua Jiang. "A novel determination of the minimal size of a probabilistic representative volume element for fiber-reinforced composites’ thermal analysis." Thermal Science 22, no. 6 Part A (2018): 2551–64. http://dx.doi.org/10.2298/tsci160430222t.

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In order to provide an accurate thermal analysis method of fiber-reinforced composites, a novel model based on a probabilistic representative volume element (RVE) is presented in this paper. Monte Carlo methods, probability analysis and finite element analysis have been applied together. The effective transverse thermal conductivity, heat flux field, and thermal gradient field of typical fiber-reinforced composites are examined. The criteria of RVE have been determined, and the minimal size for thermal analysis is obtained using the main statistics and the cross-entropy theory. At the same tim

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Khan, Zafrul H., Rafiqul A. Tarefder, and Hasan M. Faisal. "Multiscale Modeling of Asphalt Concrete and Validation through Instrumented Pavement Section." Transportation Research Record: Journal of the Transportation Research Board 2675, no. 6 (2021): 117–36. http://dx.doi.org/10.1177/0361198121989723.

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In this study, macroscale responses of asphalt concrete (AC) are predicted from the responses of its corresponding microscale representative volume element (RVE) within a finite element framework using quasi-static and dynamic analyses. Nanoindentation test was performed on the mastic and aggregate phase of an AC sample to determine the viscoelastic and elastic properties of RVE elements. Aggregate-mastic proportions in the RVE were obtained from the morphological image analysis. Macroscale model responses were compared with the AC pavement responses obtained from an instrumented pavement sect

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Bazios, Panagiotis, Konstantinos Tserpes, and Spiros Pantelakis. "Prediction of mechanical properties of nanocrystalline materials using Voronoi FE models of representative volume elements." MATEC Web of Conferences 233 (2018): 00029. http://dx.doi.org/10.1051/matecconf/201823300029.

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In the present work, a numerical model is developed to predict the mechanical properties of nanocrystalline materials using a Finite Element Analysis. The model is based on Representative Volume Elements (RVE) in which the microstructure of the material is described using the Voronoi tessellation algorithm. The use of the Voronoi particles was based on the observation of the morphology of nanocrystalline materials by Scanning Electron and Transmission Electron Microscopy. In each RVE, three-dimensional modelling of the grain and grain boundaries as randomlyshaped sub-volumes is performed. The

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Koohbor, Behrad, Suraj Ravindran, and Addis Kidane. "Experimental determination of Representative Volume Element (RVE) size in woven composites." Optics and Lasers in Engineering 90 (March 2017): 59–71. http://dx.doi.org/10.1016/j.optlaseng.2016.10.001.

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Ferretti, Patrich, Gian Maria Santi, Christian Leon-Cardenas, Elena Fusari, Giampiero Donnici, and Leonardo Frizziero. "Representative Volume Element (RVE) Analysis for Mechanical Characterization of Fused Deposition Modeled Components." Polymers 13, no. 20 (2021): 3555. http://dx.doi.org/10.3390/polym13203555.

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Additive manufacturing processes have evolved considerably in the past years, growing into a wide range of products through the use of different materials depending on its application sectors. Nevertheless, the fused deposition modelling (FDM) technique has proven to be an economically feasible process turning additive manufacture technologies from consumer production into a mainstream manufacturing technique. Current advances in the finite element method (FEM) and the computer-aided engineering (CAE) technology are unable to study three-dimensional (3D) printed models, since the final result

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Nyanor, Peter, Omayma A. El Kady, Atef S. Hamada, Koichi Nakamura, and Mohsen A. Hassan. "Multiscale Finite Element Simulation of Thermal Properties and Mechanical Strength of Reduced Graphene Oxide Reinforced Aluminium Matrix Composite." Key Engineering Materials 821 (September 2019): 39–46. http://dx.doi.org/10.4028/www.scientific.net/kem.821.39.

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The effective properties of metal matrix composites (MMCs) depend on matrix material and reinforcement property specifications as well as bonding at interphase. The use of numerical methods such as finite element (FE) and mean field homogenization (MFH) can assist in predicting MMC properties thus reducing time and cost of optimizing composite properties through experiments. In the present work, a multiscale representative volume element (RVE) of the microstructure of reduced graphene oxide (rGO) reinforced Aluminium (Al) matrix composite (rGO/Al) is created in MSC DigiMat and analysed using A

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Ma, Wen Suo, and Dong Dong Yin. "Group Analysis Method of 3D Braided Composites Elastic Properties." Advanced Materials Research 838-841 (November 2013): 364–69. http://dx.doi.org/10.4028/www.scientific.net/amr.838-841.364.

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The matrix representation of space point group is used in transferring the elastic matrix of the braided yarn based on the symmetries of braided composites representative volume element (RVE) meso-geometrical structure. The off-axis elastic matrixes of the whole braided yarns of the RVE are deduced. With a use of meso-mechanical model based on the mixture rule, the yarn segments off-axis elastic matrixes in the RVE and matrixs one are summed with weight; Equivalent elastic matrix of 3D braided composites was deduced. Equivalent engineering elastic constants are achieved in the end. The model c

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Hu, Le Sheng, and Shui Fu Chen. "3-D Numerical Modelling of Mesoscopic Configuration and Cracking of Concrete." Advanced Materials Research 194-196 (February 2011): 972–76. http://dx.doi.org/10.4028/www.scientific.net/amr.194-196.972.

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This paper presents a numerical strategy for realistic modelling of the internal material configuration and cracking of concrete on mesoscale. Polyhedron shapes resembling crushed rocks are adopted to represent the aggregate. A packing approach in which the particles are heaped up layer by layer is proposed for 3-D condition. A cubic representative volume element (RVE) is generated using the method. The cohesive approach, in which zero thickness cohesive elements are inserted into the ordinary finite element mesh along the potential cracking path, is adopted to model the cracking developing pr

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Parashar, Shikha, and V. K. Chawla. "Kenaf-Coir based hybrid nano-composite: an analytical and representative volume element analysis." Engineering Solid Mechanics 11, no. 1 (2023): 103–18. http://dx.doi.org/10.5267/j.esm.2022.8.001.

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The increasing demand for good and improved polymeric composites has led to a surge in the number of researches on hybrid composites, strengthened and enforced with the natural fibres. This paper mainly analyses and presents the attributes of hybrid composites made from natural fibres and carbon nano-tube (CNT) nanoparticles. A novel hybrid composite considered in this research includes kenaf and coir fibres with CNT nanoparticles embedded in an epoxy matrix. The proposed hybrid nanocomposite’s elastic features are calculated by using different analytical models like Chamis, Mori-Tanaka, Niels

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Luo, Yunhua. "Microstructure-Free Finite Element Modeling for Elasticity Characterization and Design of Fine-Particulate Composites." Journal of Composites Science 6, no. 2 (2022): 35. http://dx.doi.org/10.3390/jcs6020035.

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The microstructure-based finite element modeling (MB-FEM) of material representative volume element (RVE) is a widely used tool in the characterization and design of various composites. However, the MB-FEM has a number of deficiencies, e.g., time-consuming in the generation of a workable geometric model, challenge in achieving high volume-fractions of inclusions, and poor quality of finite element mesh. In this paper, we first demonstrate that for particulate composites the particle inclusions have homogeneous distribution and random orientation, and if the ratio of particle characteristic len

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Pestrenin, V. M., I. V. Pestrenina, L. V. Landik, A. R. Fagalov, and A. G. Pelevin. "REPRESENTATIVE VOLUME AND EFFECTIVE MATERIAL CHARACTERISTICS OF PERIODIC AND STATISTICALLY UNIFORMLY REINFORCED FIBER COMPOSITES." PNRPU Mechanics Bulletin, no. 1 (December 15, 2023): 103–10. http://dx.doi.org/10.15593/perm.mech/2023.1.10.

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In the deformable solid mechanics, there are concepts associated with continuum points (displacements, relative elongations, shifts) and a set of continuum points – an elementary volume (mass, energy, stresses). The role of such volume in the mechanics of composite materials is played by the representative volume element (RVE).This concept was first introduced by R. Hill (1963). Modern authors use the W.J. Drugan, J.R. Willis (1996) formulation. Based on the analysis of the RVE concept, we formulated its essential features: RVE is the minimum possible sample for numerical tests to determine th

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Kubair, Dhirendra V., Maxwell Pinz, Kaitlin Kollins, Craig Przybyla, and Somnath Ghosh. "Role of exterior statistics-based boundary conditions for property-based statistically equivalent representative volume elements of polydispersed elastic composites." Journal of Composite Materials 52, no. 21 (2018): 2919–28. http://dx.doi.org/10.1177/0021998318758498.

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The property-based statistically equivalent RVE or P-SERVE has been introduced in the literature as the smallest microstructural volume element in non-uniform microstructures that has effective material properties equivalent to those of the entire microstructure. An important consideration is the application of appropriate boundary conditions for optimal property-based statistically equivalent representative volume element domains. The exterior statistics-based boundary conditions have been developed, accounting for the statistics of fiber distributions and interactions in the domain exterior

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Li, Qing, and Xiao Xiang Yang. "Numerical Simulation for Mechanical Behavior of Carbon Black Filled Rubber Composites Based on Cubic Representative Volume Element." Key Engineering Materials 627 (September 2014): 285–88. http://dx.doi.org/10.4028/www.scientific.net/kem.627.285.

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Based on the connection between macroscopic and microscopic characteristics of carbon black filled rubber composites, Representative Volume Element (RVE) containing one single particle has been proposed, and three dimensional cubic RVE has been established to study and analyze the macroscopic mechanical properties of the carbon black filled rubber composites by the micromechanical finite element method. The research shows that the stiffness of the composite is increased with the increase of the volume fraction of carbon black filler particles. By comparison, it is shown that the results of the

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Sun, Shulei, Xiongqi Peng, and Zaoyang Guo. "Study on Macroscopic and Microscopic Mechanical Behavior of Magnetorheological Elastomers by Representative Volume Element Approach." Advances in Condensed Matter Physics 2014 (2014): 1–8. http://dx.doi.org/10.1155/2014/232510.

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By using a representative volume element (RVE) approach, this paper investigates the effective mechanical properties of anisotropic magnetorheological elastomers (MREs) in which particles are aligned and form chain-like structure under magnetic field during curing. Firstly, a three-dimensional RVE in zero magnetic field is presented in ABAQUS/Standard to calculate the macroscopic mechanical properties of MREs. It is shown that the initial shear modulus of MREs increases by 56% with a 20% volume fraction of particles compared to that of pure rubber. Then by introducing the Maxwell stress tensor

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Henrich, Manuel, Felix Pütz, and Sebastian Münstermann. "A Novel Approach to Discrete Representative Volume Element Automation and Generation-DRAGen." Materials 13, no. 8 (2020): 1887. http://dx.doi.org/10.3390/ma13081887.

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In this study, a novel approach for generating Representative Volume Elements (RVEs) is introduced. In contrast to common generators, the new RVE generator is based on discrete methods to reconstruct synthetic microstructures, using simple methods and a modular structure. The plain and uncomplicated structure of the generator makes the extension with new features quite simple. It is discussed why certain features are essential for microstructural simulations. The discrete methods are implemented into a python tool. A Random Sequential Addition (RSA)-Algorithm for discrete volumes is developed

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Mavalizadeh, Seyedmehdi, Moones Rahmandoust, and Andreas Öchsner. "Numerical Investigation of the Overall Stiffness of Carbon Nanotube-Based Composite Materials." Journal of Nano Research 13 (February 2011): 47–59. http://dx.doi.org/10.4028/www.scientific.net/jnanor.13.47.

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In this study, a finite element model of a representative volume element that contains a hollow and filled single-walled Carbon nanotube (SWCNT) in two case studies was generated. It was assumed that the nanocomposites have geometric periodicity with respect to local length scale and the elastic properties can be represented by those of the representative volume element (RVE). Elastic properties in agreement with existing literature values for the Carbon nanotube and the matrix were assigned. Then for the two case studies, the tensile test was simulated to find the effect of the geometry, i.e.

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Salifu, Smith, and Peter Apata Olubambi. "Thermomechanical properties prediction of wood-flour reinforced polymer composites using representative volume element (RVE)." MATEC Web of Conferences 370 (2022): 03002. http://dx.doi.org/10.1051/matecconf/202237003002.

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The accurate prediction of the thermomechanical properties of newly developed polymer composites is important in the determination of their possible areas of application. In this study, a 3D model of representative volume element (RVE) with different wood flour weight ratios (5, 10, 15, 20, 25 and 30 %) was used to develop wood flour polymer composites. Micromechanical material modelling software (Digimat) was used in conjunction with finite element analysis software (Abaqus) to develop the polymer composites and to determine their thermomechanical properties (modulus of elasticity, Poisson’s

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Shahzamanian, M. M., and W. J. Basirun. "Modeling of Cementitious Representative Volume Element with Various Water–Cement Ratios." Journal of Multiscale Modelling 11, no. 01 (2019): 1950002. http://dx.doi.org/10.1142/s1756973719500021.

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This study uses the finite element method (FEM) to measure the mechanical properties of microstructure-based cementitious representative volume elements (RVEs) with various water–cement ratios (W/Cs) generated by CEMHYD3D. The finite element boundary condition effects that significantly and computationally change the elastic properties are studied and discussed. Various boundary conditions in ABAQUS are applied and compared with the results obtained using the variational asymptotic method for unit cell homogenization (VAMUCH). This comparison is conducted using ANSYS. This study aims to analyz

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Sladek, Jan, Vladimir Sladek, Slavomir Krahulec, and Der Liang Young. "Effect of Voids on a Magistral Crack in Piezoelectric Brittle Materials." Key Engineering Materials 665 (September 2015): 233–36. http://dx.doi.org/10.4028/www.scientific.net/kem.665.233.

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A large (magistral) crack is analyzed in a voided piezoelectric solid. The representative volume element (RVE) is analyzed for determination of influence of voids on material properties. The whole domain is divided into two subdomains. At the crack tip vicinity it is considered a subdomain with the crack tip and circular voids. Material properties correspond to the piezoelectric skeleton there. The rest part of analyzed domain is modeled by effective material properties obtained from analyses on the RVE. The scaled boundary finite element method (SBFEM) is applied to solve all boundary value p

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Levy, A. J. "The Fiber Composite With Nonlinear Interface—Part II: Antiplane Shear." Journal of Applied Mechanics 67, no. 4 (2000): 733–39. http://dx.doi.org/10.1115/1.1329320.

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This paper treats the effective antiplane shear response of a composite consisting of fibers that interact with the matrix through nonlinear Needleman-type cohesive zones. The first paper (Part I) examines effective axial tension response. The composite cylinders representation of a representative volume element (RVE) is employed throughout. For antiplane shear loading the elastic field solution for a single composite cylinder is found in the form of a series expansion whose coefficients are governed by an infinite set of nonlinear equations. Bounds on the total potential energy and the total

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Rauch, �ukasz, Mariusz Sk�ra, Krzysztof Bzowski, and Maciej Pietrzyk. "Numerical model of cold deformation of TRIP steel." Computer Methods in Material Science 17, no. 4 (2017): 207–17. http://dx.doi.org/10.7494/cmms.2017.4.0598.

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Exploring possibilities of modelling deformation of TRIP steel during manufacturing of fasteners was the objective of the paper. Homogenised flow stress model for the investigated steels was determined first on the basis of compression tests. Inverse analysis was applied to eliminate the effect of friction and deformation heating in compression. Possibility of prediction of local strains and stresses accounting for the TRIP effect was investigated next. Representative Volume Element (RVE) and Statistically Similar Representative Volume Element (SSRVE) with TRIP microstructures were developed a

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Cheng, Lin, and Gregory J. Wagner. "A representative volume element network (RVE-net) for accelerating RVE analysis, microscale material identification, and defect characterization." Computer Methods in Applied Mechanics and Engineering 390 (February 2022): 114507. http://dx.doi.org/10.1016/j.cma.2021.114507.

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Supriya, S., J. Selwinrajadurai, and P. Anshul. "MICROSTRUCTURE BASED FINITE ELEMENT ANALYSIS OF PARTICLE FILLED POLYMER COMPOSITE." Transactions of the Canadian Society for Mechanical Engineering 41, no. 5 (2017): 681–90. http://dx.doi.org/10.1139/tcsme-2017-503.

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Particle filled polymer composites are widely used because of its tailor-made properties and ease of manufacturability. Existing micro mechanical models to characterize heterogeneous material are based on the Representative Volume Element (RVE). The assumptions made in the RVE model, play a crucial role in the exact prediction of effective properties of the composites. In this work, microstructure based RVE is utilized to predict the effective properties of Solid Glass Microsphere (SGM) filled epoxy composite. The Scanning Electron Microscope (SEM) image obtained from the specimens fabricated

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Pruchnicki, Erick. "On the homogenization of a nonlinear shell." Mathematics and Mechanics of Solids 24, no. 4 (2018): 1054–64. http://dx.doi.org/10.1177/1081286518768674.

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In this paper we propose a multiscale finite-strain shell theory for simulating the mechanical response of a highly heterogeneous shell of varying thickness. To resolve this issue, a higher-order stress-resultant shell formulation based on multiscale homogenization is considered. At the macroscopic scale level, we approximate the displacement field by a fifth-order Taylor–Young expansion in thickness. We take account of the microscale fluctuations by introducing a boundary value problem over the domain of a three-dimensional representative volume element (RVE). The geometrical form and the dim

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Liu, Jian Jun, Lei Jiang Yao, Bin Li, and Xiao Yan Tong. "Study on the Influence of Manufacturing Defects on Coefficient of Thermal Expansion of Plain Weave C/SiC." Advanced Materials Research 502 (April 2012): 56–59. http://dx.doi.org/10.4028/www.scientific.net/amr.502.56.

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The aim of this paper is to study the influence of manufacturing defects on coefficient of thermal expansion (CTE) of Plain Weave C/SiC by using the finite element computational micromechanics (FECM) method. Utilizing photomicrographs taken by scanning electron microscope (SEM), we established an accurate representative volume element (RVE) model for the plain weave C/SiC composites with consideration of manufacturing defects, which have different influence on CTE. The study shows that matrix cracks make CTE increase by 2.7% and matrix porosities make CTE decrease by 2.4% compared with the no

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Zhang, Long, Dianyin Hu, Rongqiao Wang, Yuqi Zeng, and Chongdu Cho. "Establishing RVE model composed of dry fibers and matrix for 3D four-directional braided composites." Journal of Composite Materials 53, no. 14 (2018): 1917–31. http://dx.doi.org/10.1177/0021998318815735.

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Traditional representative volume element (RVE) model composed of impregnated yarns and surrounding matrix for the 3D four-directional braided composites, requires periodic mesh in order to impose periodic boundary condition, which is quite challenging and time-consuming due to complex internal mesoscopic architecture. In this regard, this study presents a novel approach to establish a parametric RVE model comprised of dry fibers and matrix through integrating Matlab with Abaqus. The technique is able to produce RVE models of arbitrary braiding angle, fiber volume fraction, etc. by simply chan

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Her, Shiuh Chuan, and Shou Jan Liu. "Stress Analysis of Carbon Nanotubes Reinforced Nanocomposites." Applied Mechanics and Materials 284-287 (January 2013): 357–61. http://dx.doi.org/10.4028/www.scientific.net/amm.284-287.357.

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Stress transfer in the carbon nanotube reinforced nanocomposites is investigated in this work. The model consists of two concentric cylinders, namely, a single-walled carbon nanotube cylinder (SWCNT) and a matrix cylinder, as the representative volume element (RVE). The stress analysis is performed using the shear lag model for the axisymmetric RVE. Analytical solutions for the axial normal stresses in the SWCNT and matrix, and the interfacial shear stress across the SWCNT/matrix interface are obtained. Numerical results show that using a large volume fraction improves the efficiency of the st

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Deng, Yu, Juan Wang, Jiao Zhou, and Peng Zhang. "Quantitative Analysis of the Geometrically Representative Volume Element of the Yellow River’s Granular Ice Microstructure during the Freezing Period." Crystals 13, no. 7 (2023): 1021. http://dx.doi.org/10.3390/cryst13071021.

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As a naturally polycrystalline material, Yellow River ice exhibits complex mechanical properties that are closely related to its internal microstructure. To study the micromechanical properties of this ice, the geometrically representative volume element (RVE) and a method for determining it are proposed. By observing and quantifying trends in the microstructural characteristics of the granular ice, a micro-numerical model of Yellow River ice is established. Based on the calculations and analyses of randomness and similarity across model samples, the dimensions of a geometric RVE of granular i

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