Prediction of the Elastic Modulus of Particulate Composites by Means of a General Evaluation Method Using a Four Components Model (original) (raw)

Modeling of Elastic properties of Particulate Composites

2018

In this present work the effective elastic modulus of nanocomposites of epoxy reinforced with spherical shape Al2O3 particles of 40 nanometer diameter, up to a volume fraction of 10%, randomly distributed, is evaluated under uniaxial loading condition using finite element method (FEM). In order to obtain realistic prediction of elastic modulus of polymer nanocomposites, three dimensional representative volume elements (RVE) were considered. A MATLAB code was written to position the particles inside the RVE randomly. The ANSYS Parametric Design Language (APDL) of the software was used to generate the RVE and evaluate the elastic modulus. Five different RVEs were analyzed and the average of elastic modulus from the five analyses was taken for final result for each volume fraction of alumina particles. Elastic modulus of polymer nanocomposites obtained from the finite element analysis was also compared with the result obtained from Halpin Tsai analytical model, and the possible reasons...

Estimation of Elastic Moduli of Particulate Composites by New Models and Comparison with Moduli Measured by Tension, Dynamic, and Ultrasonic Tests

Advances in Materials Science and Engineering, 2010

The elastic constants of particulate composites are evaluated employing a theoretical cube-within-cube formation. Two new models of four and five components, respectively, formed by geometrical combination of three-component models existing in the literature, are used as Representative Volume Elements. Using the governing stress and strain equations of the proposed models, two new equations providing the static elastic and shear moduli of particulate composites are formulated. In order to obtain the dynamic elastic and shear moduli, the correspondence principle was applied successively to components connected in series and/or in parallel. The results estimated by the proposed models were compared with values evaluated from existing formulae in the literature, as well as with values obtained by tensile, dynamic, and ultrasonic experiments in epoxy/iron particulate composites. They were found to be close to values obtained by static and dynamic measurements and enough lower compared with values obtained from ultrasonic experiments. The latter is attributed to the high frequency of ultrasonics. Since measurements from ultrasonic's and from dynamic experiments depend on the frequency, the modulus of elasticity estimated by ultrasonic's is compared with that (storage modulus) estimated by dynamic experiments.

The effect of low-filler volume fraction on the elastic modulus and thermal expansion coefficient of particulate composites simulated by a multiphase model

Journal of Applied Polymer Science, 2009

The aim of this investigation is to determine the effect of low-filler volume fraction on the elastic modulus and the thermal expansion coefficient of particulate composites. In the theoretical part, theoretical model valid for low-filler volume fractions is used to evaluate these two magnitudes. In the experimental part, low-percentage filler contents of 3, 5, 7, and 10% are used. The density for these epoxy resin-iron particle composites is also determined. At the same time, an attempt to explain some of the disagreements observed between theoretical values and experimental data on a qualitative basis is also made. This attempt is in part assisted by scanning electron microscopy (SEM) observations concerning structural inhomogeneities and fractographical data. The comparison of the theoretical values derived from the present model with experimental results and with theoretical values derived from other workers appears satisfactory in many cases, but in some others the discrepancies among them are considerable.

An approach for prediction of the elasto-plastic behavior of particulate reinforced composites

Meccanica, 2013

A numerical approach is presented in this paper for the calculation of the elasto-plastic deformation behavior of particulate reinforced composites. The effect of shape and arrangement of particulate on the elastic modulus and tensile deformation behavior were estimated. The approach presented can consider the shape and arrangement effect of reinforcement particulate via a simple parameter called the geometrical factor (Gf ). Elastic moduli and tensile deformation estimations for the particulate reinforced composites were studied. The results of proposed approach were in very good agreement with the results of finite element analysis.

A nonlinear theoretical model for prediction of mechanical behavior of particulate composites and experimental verification of the model predictions

Polym Composite, 2009

A model for prediction the stress-strain behavior of particulate composite over wide ranges of filler concentration and composite deformation has been developed through combination of Anderson's and Yilmizer's model. The constitutive equations are extracted from first law of thermodynamic and nonlinear dilatational effects which are produced by filler-matrix debonding process. In addition to nonlinear behavior that has been resulted by filler-matrix debonding and was presented by Yilmizer, the formation and growing of void or cavitations has been also introduced in this model, whereas Anderson's model, most important reason for deviation of linear behavior is filler-matrix debonding and has been indicated by change of modulus. Model predictions for effects of the filler concentration and its particle size and particle size distribution for some matrix-filler systems are compared with related experimental data from literature and some investigated systems in this work. An excellent agreement even better than prediction of Anderson's model between experimental data and model predictions can be observed in most cases especially for some concentrated systems.

Estimation of elastic properties of a particulate polymer composite using a face-centered cubic FE model

Materials Letters, 2004

A three-dimensional (3D) finite element (FE) unit cell model is applied to studies on the elastic properties of ceramic spherical particlepolymer composite. In this model, hydroxyapatite particles (HAp) are assumed to be spherical and are arranged on a face-centered cubic (FCC) array in poly-L-lactide (PLLA) matrix surrounding. The three dimensionality of the proposed model enables simulation of elastic properties as well as developed stress states. The FE calculations provide estimates of compressive elastic modulus, shear modulus, Poisson's ratio and stress state of the composite for a range of particle volume fractions. The FCC unit cell FE models are evaluated by comparison to available experimental results, simple cubic (SC) unit cell FE calculations and Halpin -Tsai equations. In applying unit cell models for predicting elastic properties of particle-filled composites, the FCC arrangement can be observed to be more accurate compared with the SC arrangement. D

Investigation of the Stiffness and Strength of Particulate Composites by Means of a Variant Cubic Model and SEM Fractography Microscopic Approach

Manufacturing Science and Technology

In this article the stiffness of particulate composites is determined by the use of a multivariant three-phase model. This model consists of the transformation of spatial cubic models; it simulates a particulate composite into a three-sphere model, designating the two main phases of the composite material, the filler and the matrix, and applying the classical theory of elasticity to it. Theoretical results derived from this model are compared with experimental results derived from tensile tests carried out with iron particle reinforced epoxy resin composites and also with other theoretical results given by other researchers. In this context, an attempt is made to give, in a somewhat tentative way, a semiquantitative explanation of certain discrepancies observed between experimental data and the theory concerning the elastic modulus as well as experimental data concerning some fracture parameters on the basis of a macroscopic and a fractography-aided microscopic approach.

The Stiffness and Thermal Expansion Coefficient of Iron Particulate Epoxy Composites Defined by Considering the Particle Contiguity

International Review on Modelling and Simulations (IREMOS), 2014

A theoretical model for the determination of the stiffness and the thermal expansion coefficient of particulate composites is presented in this work. This model takes into consideration the influence of neighboring spherical particles on the thermo mechanical constants of the composite material consisting of matrix and filler. A microstructural composite model which represents the basic cell of the composite at a microscopic scale was transformed to a tetraphase spherical representative volume element, (R. V. E.), in order that classical theory of linear elasticity is applied. This work constitutes a modified consideration of body -centered tetrahedral models that appeared in the literature. The obtained theoretical results using this model were compared with experimental results carried out on iron particles reinforced epoxy resin composites as well as with other theoretical values derived from well known expressions given in the literature and derived by other scientists. Finally an observation of the fracture surface of the specimens was performed through S. E. Microscopy.

Interphase modeling of copper-epoxy particulate composites subjected to static and dynamic loading

Journal of Applied Polymer Science, 2008

In this investigation, the static and dynamic behavior of copper-filled epoxy particulate composites has been experimentally studied. The influence of particleweight fraction (0-25%), on the static behavior and filler concentration, temperature and frequency on the dynamic behavior of the mentioned particulate composites was thoroughly studied. Experimental results for the static three-point bending modulus were compared with respective theoretical predictions derived from that existing in literature semiempirical models. Results were also compared with predictions derived by the application of the interphase model previously developed by the first author for the evaluation of the elastic modulus in particulate composites, taking into account the effect of filler-matrix adhesion. It was found that the predicted values as derived from the application of the interphase model were in better agreement with experimental findings when compared with respective predictions derived from other models. Polymer-filler degree of adhesion was also studied by applying the TurcsĂ nyi model. Extended SEM investigations and DMA tests were also made to support both experimental and theoretical findings.

Mechanical properties of particulate composites

Polymer Engineering and Science, 1972

The mechanical properties of glass bead (30 micron diameter glass spheres) filled epoxy and polyester resins have been studied as a function of volume fraction of filler and the strength of the interfacial bond. The bonding between glass and resin was varied by chemically surface treating the glass using a silicone mold release to prevent chemical bonding at one extreme and a silane coupling agent to maximize bonding at the other extreme. Theoretical predictions of the elastic modulus and tensile strength have been made utilizing a finite element method. Excellent agreement is obtained with the experimental results. Izod impact energies have been measured for these composites as a function of filler content and interface treatment.