Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 12.15, Problem 10KCP
To determine
What are the processing steps are performed if a very-high-strength and very-high-modulus types of carbon fibers are desired respectively?
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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
4000
Continuous and aligned fiber-reinforced composite with cross-sectional area of 330 mm² (0.51 in.²) is subjected to a longitudinal load
of 49200 N (11100 lbf). Assume Vf=0.3, Vm = 0.7, Ef= 131 GPa and Em = 2.4 GPa.
(a) Calculate the fiber-matrix load ratio.
(b) Calculate the actual load carried by fiber phase.
(c) Calculate the actual load carried by matrix phase.
(d) Compute the magnitude of the stress on the fiber phase.
(e) Compute the magnitude of the stress on the matrix phase.
(f) What strain is expected by the composite?
Part 1
Calculate the fiber-matrix load ratio.
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Part 2
What is the load, in N, carried by the matrix and the fibers?
(a) What is the matrix load in N?
i
(b) What is the fiber load in N?
i
N
N
Attempts: 0 of 3 used Submit Answer
What is the distinction between matrix and dispersed phases in a composite material? Contrast the mechanical characteristics of matrix and dispersed phases for fiber reinforced composites.
Chapter 12 Solutions
Foundations of Materials Science and Engineering
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- 3. The geometry of the reinforcing phase in a composite greatly determines the overall properties. Polycarbonate has a Modulus of Elasticity=2.2 GPa, Tensile Strength-62.5 MPa. Carbon Fiber has a Modulus of Elasticity=228 GPa, Tensile Strength=3.5 GPa. For a 40 vol% carbon fiber and a 60 vol% polycarbonate matrix composite, compute the Tensile Strength and Young's Modulus for the composite for the following situations. Assume longitudinal loading. a. Continuous and aligned fibers b. Discontinuous and aligned fibers with I> le where 1 = 101, (K = 1). c. Discontinuous and aligned fibers with I< le where I= 0.51, (K = 1). d. Which of these composites is the strongest? Which is the stiffest (has the highest Young's Modulus)?arrow_forwarda dry, 2.4 den, mature wool fiber has reached its maximum tenacity value. How many grams would it take to rupture such fiber when dry?arrow_forwardQ#04 (a) : What are composite materials? Discuss the functions of Re-inforcing agent and matrix materials. (b) : Name different types of advanced fibres.arrow_forward
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