For a polymer-matrix fiber-reinforced composite: (a) List three functions of the matrix phase. (b) Compare the desired mechanical characterisics of matrix and fiber phases. (c) Cite two reasons why there must be a strong bond between fiber and matrix at their interface.

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Question (a): List three functions of the matrix phase in a polymer-matrix fiber-reinforced composite. Answer: The three main functions of the matrix phase are: 1. Transfer of load: Distributing the load uniformly among fibers to prevent concentrated loads that could cause failure. 2. Protection of fibers: Encasing the fibers to protect them from environmental damage and wear, such as corrosion and abrasion. 3. Maintaining fiber alignment: Holding fibers in their intended orientation and spacing to maintain an organized structure, contributing to the composite's overall strength and stiffness. Question (b): Compare the desired mechanical characteristics of matrix and fiber phases in a polymer-matrix fiber-reinforced composite. Answer: The main differences are: 1. Fiber phase: Provides high strength and stiffness, with a high tensile strength and modulus of elasticity for withstanding significant loads without breaking or deforming. 2. Matrix phase: Provides ductility, toughness, and load transfer, with good flexibility and adhesion properties to accommodate fiber movements and ensure a strong bond. Question (c): Cite two reasons why there must be a strong bond between fiber and matrix at their interface in a polymer-matrix fiber-reinforced composite. Answer: A strong bond is crucial for two main reasons: 1. Load transfer: Ensuring efficient load transfer from the matrix to the fibers, maximizing the use of fibers' high strength and stiffness for better overall mechanical properties. 2. Stress distribution: Ensuring uniform stress distribution around the fibers to prevent localized stress concentrations, which could lead to premature failure through debonding, matrix cracking, or fiber breakage.

Step by step solution

01

(Question (a) - Functions of the matrix phase)

The matrix phase in a polymer-matrix fiber-reinforced composite has 3 main functions: 1. Transfer of load: The matrix phase distributes the load uniformly among all the fibers embedded within it. This ensures that no single fiber is subjected to a concentrated load, potentially causing failure of the composite. 2. Protection of fibers: The matrix phase encases the fibers, protecting them from environmental damage and wear. This safeguards the fibers against processes like corrosion and abrasion that could weaken their mechanical properties. 3. Maintaining fiber alignment: The matrix phase holds the fibers in their intended orientation and spacing, maintaining their alignment and ensuring an organized structure that contributes to the overall strength and stiffness of the composite.
02

(Question (b) - Comparison of matrix and fiber mechanical characteristics)

The desired mechanical characteristics of matrix and fiber phases are quite different. The main differences are: 1. Fiber phase: The fiber phase is responsible for providing the composite with its high strength and stiffness. Fibers are typically high-performance materials, such as carbon or glass, with very strong and stiff characteristics. The fibers have high tensile strength and modulus of elasticity, which allows them to withstand significant tensile and compressive loads without breaking or deforming permanently. 2. Matrix phase: The matrix phase provides ductility, toughness, and load transfer. The mechanical properties required of the matrix phase are lower than those of the fibers, but it plays a critical role in the overall performance of the composite. The matrix should have a certain degree of flexibility and ductility to accommodate the slight movements and deformations of fibers under load and prevent premature failure. It should also have good adhesion properties to ensure a strong bond with the fibers.
03

(Question (c) - Importance of strong bond between fiber and matrix)

A strong bond between the fiber and matrix phases at their interface is crucial for the proper performance of the composite for two main reasons: 1. Load transfer: A strong bond ensures that the load applied to the composite is efficiently transferred from the matrix to the fibers and distributed uniformly among all the fibers. This maximizes the use of the fibers' high strength and stiffness, resulting in better overall mechanical properties of the composite. 2. Stress distribution: A strong bond between the fiber and matrix phases ensures that stresses around the fibers caused by applied loads are uniformly distributed to the surrounding matrix phase. This prevents localized stress concentrations which could lead to premature failure of the composite through processes like debonding, matrix cracking or fiber breakage.

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Most popular questions from this chapter

It is desired to produce an aligned carbon fiber-epoxy matrix composite having a longitudinal tensile strength of \(500 \mathrm{MPa}(72,500 \mathrm{psi})\). Calculate the volume fraction of fibers necessary if (1) the average fiber diameter and length are \(0.01 \mathrm{~mm}\left(3.9 \times 10^{-4}\right.\) in.) and \(0.5 \mathrm{~mm}\left(2 \times 10^{-2}\right.\) in.), respectively; (2) the fiber fracture strength is \(4.0\) GPa \(\left(5.8 \times 10^{5} \mathrm{psi}\right)\); (3) the fiber-matrix bond strength is \(25 \mathrm{MPa}\) (3625 psi); and (4) the matrix stress at composite failure is \(7.0 \mathrm{MPa}\) (1000 psi).

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