The Science and Engineering of Materials (MindTap Course List)
The Science and Engineering of Materials (MindTap Course List)
7th Edition
ISBN: 9781305076761
Author: Donald R. Askeland, Wendelin J. Wright
Publisher: Cengage Learning
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Chapter 7, Problem 7.1P
To determine

Effect on toughness of alumina matrix on embedding SiC fibers.

Expert Solution & Answer
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Answer to Problem 7.1P

Toughness of the ceramic matrix composite gets enhanced/increased.

Explanation of Solution

When a material comprises of two or more other materials at a "microscopic" level/scale such that they have distinct chemically phases, the material is termed as Composite material. The "constituent materials" of a composite have different properties which results in an enhanced property for composite material.

The Silicon carbide (SiC) fibres have high values of specific strength, specific modulus and temperature resistance, corrosion resistance. Toughness of a composite is dependent on the deflection of crack at the interface.

Now,when theSiC fibers are reinforced in the alumina matrix the crack in the substrate (alumina)does not pass through the SiC whisker/fiber and it expands by bypassing the SiC whiskers,which lead crack deflection. It occurs as the SiC whisker have high strength modulus and hence more energy is required to propagate a crack through the composite. Hence, it leads to high toughness of the SiC embedded alumina composite.

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Students have asked these similar questions
The mechanical properties of cobalt may be improved by incorporating fine particles of tungsten carbide (WC). Given that the modulus of elasticity of these materials is 200 GPa and 700 GP, respectively. Plot modulus of elasticity versus the volume percent of WC in Co from 0 to 100 vol%, using both upper- and lower-bound expressions. And explain what you have plotted.
An 80μm diameter glass fiber is confirmed to have no surface cracks longer than 5μm.  If the theoretical strength of the fiber is 5GPa, what can you predict the expected minimum breaking strength of the fiber to be?  Your answer should be in units of MPa. Hint:  The crack tip size will be no smaller than the ionic diameter (twice the radius) of O^2− and the crack length will be no longer than 5μm.
An 80μm diameter glass fiber is confirmed to have no surface cracks longer than 5μm.  If the theoretical strength of the fiber is 5GPa, what can you predict the expected minimum breaking strength of the fiber to be?  Your answer should be in units of MPa. Hint:  The crack tip size will be no smaller than the ionic diameter (twice the radius) of O^2−(see appendix 2) and the crack length will be no longer than 5μm.

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