
Interpretation:
The matric and precipate requirements for strengthening of dispersion to be effective needs to be explained.
Concept Introduction:
Dispersion strengthening is the property of a solid where the plastic deformation is reduced due to the occurrence of uniform dispersion of other substance that prevents the motion of plastic disruptions.
This property enhances the toughness of material bythe addition of an alloying element. The materials that are exposed to corrosion gets more strength due to this property. In this process, an important concentration of alloying element is added to the core metal with the desired proportion.

Answer to Problem 11.1P
For effective dispersion strengthening effect, the concentration of particle must be higher which eventually increases the strength of the alloy.
Explanation of Solution
In case of a matrix:
- The matrix should be ductile and soft in nature.
- The matrix supports the slip for higher ductility.
- The structure ofthe desired matrix must be in continuous form to avoid cracks.
In the case of dispersed phase:
- The phase of dispersed particles must be stronger and harder.
- The phase of dispersed particles provides obstruction for better hardness.
- The structure of dispersed particles is discontinuous to avoid cracks.
- A large number of particles are required in the dispersed phase for better hardness.
- The smaller size of particles is required for better hardness.
- High particle concentration is needed to improve strength.
- The shape of particles is round so that there is negligible propagation of cracks.
Thus, the matrix and dispersed particles should consist oftheserequire parameters so that the material will get high dispersion strengthening the effect.
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Chapter 11 Solutions
Essentials Of Materials Science And Engineering
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