A Three-Dimensional Unit Cell Model With Application Toward Particulate Composites

1995 ◽  
Vol 62 (1) ◽  
pp. 136-140 ◽  
Author(s):  
H. A. Wienecke ◽  
J. R. Brockenbrough ◽  
A. D. Romanko
Keyword(s):  
Cell Model ◽  
Three Dimensional ◽  
Unit Cube ◽  
Unit Cell ◽  
Particulate Composites ◽  
Unit Cell Model ◽  
Two Phase ◽  
Element Discretization ◽  
Cubic Symmetry ◽  
Dimensional Unit

A formulation of a fully three-dimensional unit cell model is presented for uniform general deformation at a point in a composite material. The unit cell model is constructed as a finite element discretization of the unit cube. General displacement periodicity boundary conditions are prescribed such that the cell may be considered as a representative volume element of material. As a particular application of the model, the problem of determining the least anisotropic periodic model of a particulate composite is considered, and comparisons are made with bounds for elastic two-phase composites possessing cubic symmetry.

The Effect of Interphase on the Elastic Modulus of Polymer Based Nanocomposites

2006 ◽  
Vol 312 ◽  
pp. 199-204 ◽  
Author(s):  
Saeed Saber-Samandari ◽  
Akbar Afaghi Khatibi
Keyword(s):  
Elastic Modulus ◽  
Mathematical Models ◽  
Cell Model ◽  
Three Dimensional ◽  
Unit Cell ◽  
Unit Cell Model ◽  
Average Value ◽  
Dimensional Unit

The elastic modulus of interphase in polymer based nanocomposites is investigated. A new three-dimensional unit cell model has been developed for modeling three constituent phases including particle, interphase and matrix. The elastic modulus of the interphase as a function of radius is then evaluated with the help of mathematical models. The average value of interphase elastic modulus is defined and the effect of interphase thickness and particle and matrix elastic modulus on interphase is investigated.

Prediction of equibiaxial loading stress in collagen-based extracellular matrix using a three-dimensional unit cell model

2013 ◽  
Vol 9 (3) ◽  
pp. 5544-5553 ◽  
Author(s):  
Monica E. Susilo ◽  
Brett J. Bell ◽  
Blayne A. Roeder ◽  
Sherry L. Voytik-Harbin ◽  
Klod Kokini ◽  
...  
Keyword(s):  
Extracellular Matrix ◽  
Cell Model ◽  
Three Dimensional ◽  
Unit Cell ◽  
Unit Cell Model ◽  
Dimensional Unit

A Three Dimensional Unit Cell Model for the Analysis of Thermal Residual Stresses in Polymer Composites Reinforced with Wavy Carbon Nanotubes

MRS Advances ◽  
2019 ◽  
Vol 5 (33-34) ◽  
pp. 1739-1748 ◽  
Author(s):  
Y. Zhang ◽  
A. Johnston ◽  
A. Yousefpour ◽  
J. Guan ◽  
B. Simard ◽  
...  
Keyword(s):  
Carbon Nanotubes ◽  
Residual Stresses ◽  
Cell Model ◽  
Three Dimensional ◽  
Numerical Approach ◽  
Unit Cell ◽  
Unit Cell Model ◽  
Thermal Residual Stresses ◽  
Dimensional Unit ◽  
Residual Stresses And Strains

ABSTRACTThis paper presents a numerical approach to predict the thermal residual stresses in polymer nanocomposites reinforced with a periodic array of wavy carbon nanotubes. A three dimensional unit cell model is established to accurately account for the waviness of the nanotube. Periodic boundary conditions are determined for the unit cell with a pair of curved surfaces. Appropriate methods to evaluate the macroscopic stresses and strains are also determined for the unit cell model in which the interior pores of the nanotubes are explicitly included. It is demonstrated that the macroscopic behavior of the nanocomposites is orthotropic due to the symmetries manifested. By employing material properties of the two constituents, the thermal residual stresses and strains induced by high temperature curing and cooling-down are predicted for an epoxy/wavy-nanotube composite. It is also demonstrated that the curing process tends to increase the waviness of the nanotube and the waviness has a significant influence on the distribution of the microscopic residual stresses.

Coefficients of thermal expansion of unidirectional fiber-reinforced composites using unit-cell model

2018 ◽  
Vol 53 (11) ◽  
pp. 1425-1436
Author(s):  
PC Upadhyay ◽  
JP Dwivedi ◽  
VP Singh
Keyword(s):  
Thermal Expansion ◽  
Cell Model ◽  
Unit Cell ◽  
Fiber Reinforced Composites ◽  
Reinforced Composites ◽  
Unit Cell Model ◽  
Fiber Reinforced ◽  
Two Phase ◽  
Thermal Expansion Coefficients ◽  
Three Phase

Coefficients of thermal expansion of some uniaxially fiber-reinforced composites have been evaluated using three-phase unit-cell model. Results have been compared with the values predicted by two other models based on composite cylinders assembly (CCA), and also with some earlier reported experimental values. An extension of the two-phase unit-cell model has also been presented for the evaluation of thermal expansion coefficients of three-phase composites. The formulation has been used to evaluate the overall coefficients of thermal expansion of AS-graphite/epoxy system with a low modulus coating on the fibers. The results have been compared with the results obtained from the Sutcu's recursive concentric cylinders model for composites containing coated fibers. From the comparison of results of the unit-cell models (both, two-phase and three-phase) with the results obtained from some other models available in the literature, it is concluded that the overall thermal properties of fiber-reinforced composites evaluated by the unit-cell model can be used as effectively as by any other model.

Numerical Simulations for Uniaxial Ratcheting of SiCP/6061Al Composites Concerning Particulate Arrangement

2007 ◽  
Vol 26-28 ◽  
pp. 317-320 ◽  
Author(s):  
Su Juan Guo ◽  
Guo Zheng Kang ◽  
Cheng Dong
Keyword(s):  
Metal Matrix ◽  
Cell Model ◽  
Three Dimensional ◽  
Unit Cell ◽  
Matrix Composites ◽  
Finite Element Code ◽  
Unit Cell Model ◽  
Cell Models ◽  
User Material Subroutine ◽  
Particulate Reinforced

Based on three dimensional cubic unit cell models containing several particulates with certain particulate arrangements, the monotonic tensile and uniaxial ratcheting behaviors of particulate reinforced metal matrix composites (i.e., T6-treated SiCP/6061Al composites) were numerically simulated by using elastic-plastic finite element code ABAQUS with help of newly developed user material subroutine (UMAT). In the simulations, the effects of different particulate arrangements inside the unit cell models on the monotonic tensile and ratcheting behaviors of the composites were discussed. It is shown that the effect of particulate arrangement on the ratcheting of the composite depends on the arranged modes and the number of particulates contained in the model, and the interaction between particulates can be represented reasonably by the cubic unit cell model with a suitable distribution of multi-particulates.

Microstructure analysis and solid unit cell modeling of three dimensionally six-directional braided composites

2016 ◽  
Vol 46 (5) ◽  
pp. 1257-1280 ◽  
Author(s):  
Kun Xu ◽  
Xiaomei Qian ◽  
Liming Xu
Keyword(s):  
Process Parameters ◽  
Control Method ◽  
Cell Model ◽  
Three Dimensional ◽  
Unit Cell ◽  
Microstructure Analysis ◽  
Volume Control ◽  
Unit Cell Model ◽  
Microstructure Parameters ◽  
Braiding Angle

A new solid unit cell model is developed based on the microstructure analysis of three-dimensional (3D) six-directional braided composite (6DBC) produced by four-step 1 × 1 procedures in this research. First, the volume control method is applied to analyze the spatial movement traces of yarns. Then the microstructure configuration and squeezing condition of yarns is analyzed in detail by the mathematical modeling. The relationships between the microstructure parameters of unit cell and the braiding process parameters are derived. The parametrical solid unit cell model for modeling the microstructure of 6DBC is established. Finally, the main microstructure parameters of specimens are calculated to validate the effectiveness of the model. The predicted results agree well with the available experimental data. In addition, the squeezing conditions of the braiding yarns and the axial yarns are analyzed in detail, respectively. The variations of the key microstructure parameters with the braiding angle are discussed. Results indicate that the parametrical unit cell model has provided a better understanding of the relationship between the microstructure and the braiding process parameters for 3D 6DBC.

Sign in / Sign up

Export Citation Format

Share Document