Is Strain Dimensionless According to Dimensional Analysis?

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In summary, strain is the amount of deformation or elongation that a material undergoes when subjected to stress. It is typically measured as a ratio of the change in length to the original length, and is directly related to stress. Strain can be positive or negative, depending on the direction of deformation, and has a significant impact on the behavior of materials, including their strength, elasticity, and ability to withstand stress. High strain can lead to permanent deformation or fracture of a material.
  • #1
wakejosh
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The quantity "strain" expressed in terms of the fundamental quantities (mass, length, time) is equivelent to?


isn't this dimensionless?
 
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  • #2
Yes it is unitless! Strain doesn't have units -- it's the change in length per unit length.
 
  • #3
Absolutely. Use dimensional analysis if you have problems.
 

1. What is strain equivalent to?

Strain is equivalent to the amount of deformation or elongation experienced by a material when subjected to stress.

2. How is strain measured?

Strain is typically measured as a ratio of the change in length of a material to its original length, and is represented as a decimal or percentage.

3. What is the relationship between strain and stress?

Strain and stress are directly related, as strain is a result of the stress applied to a material. As stress increases, so does strain.

4. Can strain be positive or negative?

Yes, strain can be positive or negative depending on the direction of deformation. A positive strain indicates elongation, while a negative strain indicates compression.

5. How does strain affect the behavior of materials?

Strain can significantly impact the behavior of materials, including their strength, elasticity, and ability to withstand stress. High strain can cause a material to permanently deform or even fracture.

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