Mathematical Model of the Effective Properties of a Fiber Reinforced Composite with a Linearly Graded Transition Zone

2010 ◽  
Vol 38 (4) ◽  
pp. 286-307
Author(s):  
Carey F. Childers
Keyword(s):  
Mathematical Model ◽  
Transition Zone ◽  
Effective Properties ◽  
Local Stress ◽  
Stress And Strain ◽  
Fiber Reinforced ◽  
Strain Fields ◽  
Shear Moduli ◽  
Fiber Reinforced Composite ◽  
Reinforced Composite

Abstract Tires are fabricated using single ply fiber reinforced composite materials, which consist of a set of aligned stiff fibers of steel material embedded in a softer matrix of rubber material. The main goal is to develop a mathematical model to determine the local stress and strain fields for this isotropic fiber and matrix separated by a linearly graded transition zone. This model will then yield expressions for the internal stress and strain fields surrounding a single fiber. The fields will be obtained when radial, axial, and shear loads are applied. The composite is then homogenized to determine its effective mechanical properties—elastic moduli, Poisson ratios, and shear moduli. The model allows for analysis of how composites interact in order to design composites which gain full advantage of their properties.

scholarly journals Local Stress Fields in A Unidirectional Fiber-Reinforced Composite with A Non-Homogeneous Interphase Region: Solution

1992 ◽  
Vol 1 (3) ◽  
pp. 096369359200100 ◽  
Author(s):  
K Jayaraman ◽  
K L Reifsnider
Keyword(s):  
Solution Method ◽  
Local Stress ◽  
Fiber Reinforced Composites ◽  
Stress Fields ◽  
Reinforced Composites ◽  
Fiber Reinforced ◽  
Fiber Reinforced Composite ◽  
Unidirectional Fiber ◽  
Interphase Region ◽  
Reinforced Composite

Attention has been focused recently on the interphase in continuous, unidirectional fiber-reinforced composites. In this study, the interphase region is modeled as a non-homogeneous, orthotropic material with continuously varying properties. A previously proposed solution method is used to determine the local stress fields in the constituents - the fiber, interphase and matrix - and the results are presented.

Stress and Strain Analysis of the Bone-Implant Interface: A Comparison of Fiber-Reinforced Composite and Titanium Implants Utilizing 3-Dimensional Finite Element Study

2011 ◽  
Vol 37 (sp1) ◽  
pp. 133-140 ◽  
Author(s):  
Akikazu Shinya ◽  
Ahmed M Ballo ◽  
Lippo V. J Lassila ◽  
Akiyoshi Shinya ◽  
Timo O Närhi ◽  
...  
Keyword(s):  
Finite Element ◽  
Bone Growth ◽  
Titanium Implants ◽  
Stress And Strain ◽  
Fiber Reinforced ◽  
Implant Surface ◽  
Fiber Reinforced Composite ◽  
Implant Materials ◽  
Reinforced Composite ◽  
Dimensional Finite Element

This study analyzed stress and strain mediated by 2 different implant materials, titanium (Ti) and experimental fiber-reinforced composite (FRC), on the implant and on the bone tissue surrounding the implant. Three-dimensional finite element models constructed from a mandibular bone and an implant were subjected to a load of 50 N in vertical and horizontal directions. Postprocessing files allowed the calculation of stress and strain within the implant materials and stresses at the bone-to-implant interface (stress path). Maximum stress concentrations were located around the implant on the rim of the cortical bone in both implant materials; Ti and overall stresses decreased toward the Ti implant apex. In the FRC implant, a stress value of 0.6 to 2.0 MPa was detected not only on the screw threads but also on the implant surface between the threads. Clear differences were observed in the strain distribution between the materials. Based on the results, the vertical load stress range of the FRC implant was close to the stress level for optimal bone growth. Furthermore, the stress at the bone around the FRC implant was more evenly distributed than that with Ti implant.

scholarly journals Local Stress Fields in A Unidirectional Fiber-Reinforced Composite with A Non-Homogeneous Interphase Region: Formulation

1992 ◽  
Vol 1 (2) ◽  
pp. 096369359200100 ◽  
Author(s):  
K Jayaraman ◽  
K L Reifsnider ◽  
Alexander Giacco
Keyword(s):  
Orthotropic Material ◽  
Local Stress ◽  
Fiber Reinforced Composites ◽  
Stress Fields ◽  
Reinforced Composites ◽  
Fiber Reinforced ◽  
Fiber Reinforced Composite ◽  
Unidirectional Fiber ◽  
Interphase Region ◽  
Reinforced Composite

Attention has been focused recently on the interphase in fiber-reinforced composites. A methodology is proposed to determine the local stress fields in a unidirectional fiber-reinforced composite with a non-homogeneous interphase region. The interphase is modeled as an orthotropic material with continuously varying properties.

Design and Effective Properties of a Functionally Graded Unidirectional Fiber-Reinforced Composite

2015 ◽  
Author(s):  
Satyajit Panda
Keyword(s):  
Elastic Properties ◽  
Volume Fraction ◽  
Effective Properties ◽  
Coupled Analysis ◽  
Sigmoid Function ◽  
Thickness Direction ◽  
Fiber Reinforced ◽  
Fiber Reinforced Composite ◽  
Representative Volume ◽  
Reinforced Composite

The present work deals with the design of a fiber-reinforced composite lamina with varying fiber-volume fraction (FVF) along its thickness direction. In the available elastic analyses of this kind of composite, the elastic properties are evaluated based on the assumptions like continuous variation of FVF and existence of decoupled representative volume element (RVE) at every point along the thickness direction. In order to predict the graded material properties without any of these assumptions at present, first a micro-structure of similar graded composite is designed for the variation of FVF according to a sigmoid function of thickness coordinate. Next, a continuum micro-mechanics finite element model of the corresponding representative volume (RV) is derived. The RV is basically composed of several micro-volumes of different FVFs and the classical homogenization treatment is implemented over these micro-volumes without decoupling them from the overall volume of RV. The importance of this coupled analysis is verified through a parallel decoupled analysis. The effect of the total number of micro-volumes within a specified thickness of lamina on its graded elastic properties is presented. The characteristics of graded elastic properties according to the sigmoid function are also discussed.

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