Maximum thermal cycle range to avoid onset of plasticity

KelvinIn summary, the maximum thermal cycle range to avoid onset of plasticity is 1.26 milliKelvin, calculated by dividing the Burgers vector by the linear thermal expansion coefficient for aluminum. This is based on the criterion that the thermal mismatch between aluminum and alumina should not exceed the Burgers vector for aluminum.
  • #1
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Homework Statement


The linear thermal expansion coefficient of aluminum is 22.2x10-6 m/m K and that of alumina is 5.4x10-6 m/m K. If the criterion for onset of dislocation plasticity is related to thermal mismatch exceeding Burgers vector for aluminum, which is 2.8x10-10 m. What is the maximum thermal cycle range to avoid onset of plasticity?

The Attempt at a Solution


Frankly I find the wording of the question confusing, hoping you guys could shed some light.
 
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  • #2
I am guessing it is asking for the maximum temperature difference that can be applied to aluminum and alumina before plasticity sets in. Therefore, maximum thermal cycle range = Burgers vector/(linear expansion coefficient)=2.8x10-10 m /(22.2x10-6 m/m K) = 1.26x10-3 K
 

1. What is the maximum thermal cycle range?

The maximum thermal cycle range refers to the range of temperatures that a material can be cycled through without experiencing plastic deformation. It is the temperature range where the material can maintain its shape and structure without permanently deforming.

2. How is the maximum thermal cycle range determined?

The maximum thermal cycle range is determined through various tests and experiments, such as thermal cycling tests and stress-strain analysis. These tests help determine the temperature range at which a material can undergo repeated thermal cycles without experiencing plastic deformation.

3. Why is it important to avoid the onset of plasticity?

The onset of plasticity can lead to permanent deformation and failure of a material. It is important to avoid this because it can compromise the structural integrity and performance of the material, resulting in potential safety hazards and costly repairs or replacements.

4. What factors can affect the maximum thermal cycle range?

The maximum thermal cycle range can be affected by various factors, such as the type of material, its composition, processing method, and environmental conditions. Other factors that can influence the range include the presence of impurities, defects, and stress concentration points in the material.

5. How can the maximum thermal cycle range be improved?

The maximum thermal cycle range can be improved through material selection, optimization of processing conditions, and application of surface treatments or protective coatings. It is also important to consider the environmental conditions and potential stressors that the material may encounter in its intended use.

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