Elastic Constants of Fiber-Reinforced Composites With Transversely Isotropic Constituents

1971 ◽  
Vol 38 (4) ◽  
pp. 1062-1065 ◽  
Author(s):  
Ernst Behrens
Keyword(s):  
Elastic Constants ◽  
Lattice Model ◽  
Hexagonal Lattice ◽  
Transversely Isotropic ◽  
Numerical Results ◽  
Fiber Reinforced Composites ◽  
Reinforced Composites ◽  
Fiber Reinforced ◽  
Explicit Expressions

Several models for calculating elastic constants of fiber-reinforced composites with transversely isotropic constituents are discussed. Numerical results are obtained from simple explicit expressions and compared with recently published computer solutions of a hexagonal lattice model.

scholarly journals Elastic Constants Prediction of 3D Fiber-Reinforced Composites Using Multiscale Homogenization

Processes ◽  
2020 ◽  
Vol 8 (6) ◽  
pp. 722 ◽  
Author(s):  
S. Z. H. Shah ◽  
Puteri S. M. Megat Yusoff ◽  
Saravanan Karuppanan ◽  
Zubair Sajid
Keyword(s):  
Experimental Data ◽  
Numerical Methods ◽  
Elastic Constants ◽  
Good Accuracy ◽  
Fiber Reinforced Composites ◽  
Reinforced Composites ◽  
Fiber Reinforced ◽  
Multi Scale ◽  
Homogenization Approach ◽  
Multiscale Homogenization

This paper presents a multi-scale-homogenization based on a two-step methodology (micro-meso and meso-macro homogenization) to predict the elastic constants of 3D fiber-reinforced composites (FRC). At each level, the elastic constants were predicted through both analytical and numerical methods to ascertain the accuracy of predicted elastic constants. The predicted elastic constants were compared with experimental data. Both methods predicted the in-plane elastic constants “ E x ” and “ E y ” with good accuracy; however, the analytical method under predicts the shear modulus “ G x y ”. The elastic constants predicted through a multiscale homogenization approach can be used to predict the behavior of 3D-FRC under different loading conditions at the macro-level.

Evaluation of mechanical properties of fiber reinforced composites filled with hollow spheres: A micromechanics approach

2020 ◽  
pp. 002199832094964
Author(s):  
Mojde Biarjemandi ◽  
Ehsan Etemadi ◽  
Mojtaba Lezgy-Nazargah
Keyword(s):  
Mechanical Properties ◽  
Elastic Constants ◽  
Volume Fraction ◽  
Hollow Spheres ◽  
Matrix Phase ◽  
Fiber Reinforced Composites ◽  
Fiber Direction ◽  
Reinforced Composites ◽  
Fiber Reinforced ◽  
The Matrix

Recent researches show that the embedment of hollow spheres in the matrix phase of composite materials improves the strength of these structures against crack propagations. Rare studies are reported for calculating equivalent elastic constants of fiber reinforced composites containing hollow spheres. In this paper, the effects of hollow spheres on mechanical characteristics of fiber reinforced composite are studied for the first time. To achieve this aim, a micromechanics based finite element method is employed. Representative volume elements (RVEs) including hollow spheres with different radius, thickness and volume fraction of hollow spheres, are modeled by using 3D finite elements. The equivalent elastic constants are calculated through homogenization technique. The results are compared with available experimental works. Good agreements find between two sets of results. Also, the volume fraction, number and thickness of hollow spheres as effective parameters on mechanical properties of composite were investigated. The results show the equivalent elastic properties increase with increasing the volume fraction and number of hollow spheres and decrease with increasing the number of hollow spheres. Furthermore, the equivalent Young’s modulus in transverse directions to the fiber direction and shear modulus of the composite increase with increasing the thickness of hollow spheres. As a final result, the presence of hollow spheres in the matrix phase generally increases the equivalent elastic constants without significant changes in the weight of structures.

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