Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 12.15, Problem 83AAP
To determine
The volume percent of the silicon carbide
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Question Seven (Plastics)
The data below is from a fibre reinforced plastic. Would this composite be suitable for
use at 400°C? Explain your answer.
Temperature (°C)
20
100
200
300
400
500
600
Plastic A
Plastic B
Plastic C
Yield
Strength
(MPa)
270
350
47
Tensile
Strength
(MPa)
300
500
52
E (GPa)
130
3
14
115
100
95
Question Eight (Plastics)
Identify the thermoplastic, the elastomer and the thermoset.
70
58
0
Young's Modulus (GPa) Elongation (%)
12
3
600
A composite with a vinyl ester (VE) matrix contains 2 vol% CNTS with the following
characteristics: 1= 7 um, d= 50 nm, di = 4 nm, and EcCNT = 900 GPa. The modulus of the VE
matrix is 1.9 GPa.
%3D
c. Find the Major Poisson's ratio for this composite using strength of materials approach.
d. Find the in-plane shear modulus for this composite using strength of materials approach.
For a glass/epoxy lamina with a 70% fiber volume fraction using the properties in the tables
provided below
(a) Find the ultimate tensile strength.
(b) Find the minimum and critical fiber volume fractions related to (a).
(c) Find the compressive strength when the matrix undergoes extension mode and when the
matrix undergoes shear mode, which one controls the compressive failure?
Property
Axial modulus
Transverse modulus
Axial Poisson's ratio
Transverse Poisson's ratio
Shear modulus
Axial tensile strength
Axial compressive strength
Transverse tensile strength
Transverse compressive strength
Shear strength
Epoxy Glass Units
3.4 85 GPa
3.4
85
GPa
0.3 0.20
0.3
0.20
1.308 35.42 GPa
72
1550 MPa
102
1550 MPa
72
1550 MPa
102
1550 MPa
34 35 MPa
Chapter 12 Solutions
Foundations of Materials Science and Engineering
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- A discontinuous fibre reinforced composite consists of 20mm long carbon fibres in a polymer matrix. The volume fraction of the composite is 0.5, interfacial shear strength 5MPa and the critical fibre length 2.5mm. The fibre modulus is 250GPa and strain to failure 1.5%. The matrix modulus is 3.5GPa and failure strain 10%. Calculate the tensile strength of the composite in the fibre direction. Answer: 3564arrow_forwardA composite sample of carbon reinforced epoxy has dimensions of 12 in x 12 in x 0.25 in and mass of 1.8 lb. The carbon fibers have a modulus of elasticity of 50(106) lb/in² and a density of 0.069 lb/in³. The epoxy matrix has modulus of elasticity of 0.61(106) lb/in² and a density of 0.042 lb/in³. What is the volume fraction of (a) the carbon fibers and (b) the epoxy matrix in the sample? Assume there are no voids in the sample. What is the predicted value for the modulus of elasticity (c) in the longitudinal direction and (d) the perpendicular to the carbon fibers?arrow_forwardCalculate the density of a composite made with 35% Kevlar-49 fibers in an epoxy resin (ρ = 1.1 kg/m3, E = 2.5 GPa). For Kevlar-49, Ef = 131 GPa; density = 1440 kg/m3arrow_forward
- It is desired to produce an aligned and continuous fiber-reinforced epoxy composite having a maximum of 50% fibers. A minimum longitudinal modulus of elasticity of 55 GPa and a minimum tensile strength of 1200 MPa are required. E-glass and carbon (PAN standard modulus) fibers are the possible candidates to select. In addition, assume the stress levels on the epoxy matrix at fiber failure are 70 MPa for E-glass fiber and 30MPa for carbon fiber, respectively. Which fiber meets the design requirement? Use the properties given in the Table below to evaluate your selection. Materials Epoxy matrix E-glass Carbon Modulus of Elasticity (GPa) 3.1 72.5 230 Tensile Strength (MPa) 69 3450 4000arrow_forwardA composite with a minimum elastic modulus of 50 GPa is to be created by mixing uniaxial epoxy with metal fibre. Calculate the minimum Elastic modulus of the metal fibre given the following data for the epoxy matrix: Elastic modulus of the epoxy matrix is 5 GPa • Volume fraction of the epoxy matrix is 0.6 A- в I U S x2 xarrow_forwardGlass fibres provide longitudinal reinforcement for a nylon material subject to tensile load. The fibre diameter is 20 μm and the volume fraction is 0.45. (Take Young’s modulus of glass fibres as 70 000 MPa and nylon as 2800 MPa)(i)Calculate the Young’s modulus of composite(ii)Determine the tensile strength in the glass fibre if the tensile strength of the composites and matrix is 14 MPa and 11.8 MPa, respectivelyarrow_forward
- A continuous and aligned glass fiber-reinforced composite with modulus of elasticity of 55 GPa. The volume fiber fraction is 40 and the modulus of elasticity of the fiber is 75 GPa. Calculate the volume fraction of epoxy matrix if you know the modulus of elasticity of the modulus of elasticity of the matrix is 2.5 GPa and then determine the strain that is sustained by each phase under applied stress of 27 Mpa. (assume that the cross-section area is 150 mm2)arrow_forwardAn aligned and continuous glass fiber-reinforced epoxy composite consisting of 55 vol% glass fibers has a cross-sectional area of 420 mm2. The composite is subjected to a longitudinal load of 61,300 N. Calculate the magnitude of the stress on matrix phase if the elastic moduli of the glass fiber and the epoxy are 165 GPa and 5.7 GPa, respectively.arrow_forwardQuestion 2 = 219,48 M//a = 247,3785 Pa 2.1 Consider a polymer reinforced with Spectra 1000 fibers, with a fiber volume ratio of x = 15 %. For a cross sectional area of 130 mm² and a load of 250 kg, calculate the stress in the fibers and in the matrix if the matrix material is polycarbonate. 2.2 Why are fibres capable of supporting a large portion of the tensile load in composite materials?arrow_forward
- If the tensile strength of the Kevlar 49 fibers is 3.8 GPa and that of the epoxy resin is 75.9 MPa, calculate the tensile strength of the composite material in Q3b(i). Calculate the fraction of load carried by the Kevlar 49.arrow_forwardA discontinuous fibre reinforced composite consists of 20mm long carbon fibres in a polymer matrix. The volume fraction of the composite is 0.5, interfacial shear strength 5MPa and the critical fibre length 2.5mm. The fibre modulus is 250GPa and strain to failure 1.5%. The matrix modulus is 3.5GPa and failure strain 10%. If the ultimate fibre strength = 3500MPa, calculate the average failure stress in the composite. Answer: 2584arrow_forwardWhat fiber fraction would be required for a composite with titanium fibers in a polycarbonate matrix (E = 2.5 GPa) to have the fibers handle 85% of a longitudinal tensile load? (Titanium Ef = 116 GPa )arrow_forward
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