On the Size of the Representative Volume Element Used for the Strength Prediction: A Statistical Survey Applied to the Particulate Reinforce Metal Matrix Composites (PRMMCs)

The paper presents applications of a new theory of the representative volume element (RVE) based on the Mityushev- Eisenstein-Rayleigh sums (M-sums) to describe particle-reinforced composites. This theory is applied to study F3K.10S metal matrix composites reinforced SiC particles. The most important M-sum e2 is calculated for the initial state as e2 = -0.00206281. This shows considerable heterogeneity of distribution of reinforcing particles and its anisotropic properties. Further, the results are compared with the results obtained by the FSP. It is established that the use of a single FSP process causes a significant change in the distribution of particles reinforcing phase when the value e2 becomes 3.19488. It follows from Mityushev’s theory that e2=π corresponds to isotropic distributions. The article confirms that the new RVE theory resolves the problem of the constructive pure geometrical description of the properties of composites. Further work requires the optimization and extension of the theory to three-dimensional models.

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Modeling of the Effective Properties of Metal Matrix Composites Using Computational Homogenization

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.869.94 ◽

2017 ◽

Vol 869 ◽

pp. 94-111 ◽

Cited By ~ 2

Author(s):

José L. York Duran ◽

Charlotte Kuhn ◽

Ralf Müller

Keyword(s):

Aluminum Alloy ◽

Metal Matrix Composites ◽

Metal Matrix ◽

Effective Properties ◽

Computational Homogenization ◽

Volume Element ◽

Homogeneous Material ◽

Matrix Composites ◽

Material Parameters ◽

Inhomogeneous Microstructure

On the macrolevel metal matrix composites (MMCs) resemble a homogeneous material. However, on the microlevel they have an inhomogeneous microstructure. This paper will show how heterogeneities affect the effective macroscopic properties the material, i.e. the effective properties. This investigation is done using computational homogenization techniques. Finite element (FE) simulations were conducted in ABAQUS in combination with MATLAB, using material parameters for aluminum alloy AA2124 and silicon carbide SiC to develop a representative volume element (RVE) of the MMC AMC217xe.

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Prediction of Mechanics Behaviors and Analysis on Dynamic Characteristics for Fiber Reinforced Metal Matrix Composites (MMC) Shafts

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.716-717.154 ◽

2014 ◽

Vol 716-717 ◽

pp. 154-158

Author(s):

Yun Dong Sha ◽

Li Luo ◽

Qiu Yue Jia

Keyword(s):

Metal Matrix Composites ◽

Natural Frequency ◽

Metal Matrix ◽

Simulation Method ◽

Volume Element ◽

Matrix Composites ◽

Fiber Reinforced ◽

Hexagonal Array ◽

Low Pressure Turbine ◽

Square Array

Aiming at the question of predicting mechanics properties of long fiber reinforced metal matrix composites (MMC) shafts, two periodical arrangement of fiber, namely Square array and Hexagonal array are considered in structure,based on the Micro-mechanics Finite Element Method (FEM), six representative volume element models (RVE) are presented, calculating the Macro-mechanics properties parameters of the material. The results are compared with that of three frequently Micro-mechanics models.On the basis, taking a low pressure turbine as study object,then the results calculated of specified RVE model will be used in modal analysis of shafts with MMC,the numerical simulation method is used to calculate natural frequency, analyzing the influence of layers angles, thicknesses, sequences on modal and natural frequency.

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