Physics of Solids: Elastic Limit & Fracture Stress

In summary, brittle substances have an elastic limit and a fracture stress, but it is safer to say that these values are closer together than with a less brittle substance. While it may be possible to say that the elastic limit and ultimate tensile strength (UTS) are equal, it is not accurate as brittle materials also have a yield point. Although this plastic deformation is usually very small and often ignored, it still lies between the elastic limit and UTS, making it incorrect to equate the two values.
  • #1
Tehniyat
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For brittle substances can we say that elastic limit is equal to fracture stress ?
 
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  • #2
Hello Tehniyat,:welcome:

Safer to say that they are closer together than with a less brittle substance.
 
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Likes Tehniyat
  • #3
BvU said:
Hello Tehniyat,:welcome:

Safer to say that they are closer together than with a less brittle substance
BvU said:
Hello Tehniyat,:welcome:

Safer to say that they are closer together than with a less brittle substance.
Do brittle substances have UTS ?
 
  • #4
Sure, why not ?
 
  • #5
yes you can say but to be more precise its not good to say that they both are same, because even brittle materials have a yield point which lies after elastic limit but that plastic deformation in the yielding range is too small, usually in microns, so we ignore it, that is why its not good to say that elastic limit and UTS are same because you can't ignore the yielding which lies in between them.
 

1. What is the elastic limit of a solid?

The elastic limit of a solid is the maximum stress that can be applied to a material without causing permanent deformation or fracture. Beyond the elastic limit, the material will not return to its original shape once the stress is removed.

2. How is the elastic limit determined?

The elastic limit is determined through experiments where a sample of the material is subjected to increasing amounts of stress until it reaches a point where it begins to permanently deform. The maximum stress at this point is considered to be the elastic limit.

3. What factors affect the elastic limit of a solid?

The elastic limit of a solid can be affected by several factors, including the type of material, its atomic and crystal structure, and any impurities or defects present in the material. Temperature and the rate of loading can also impact the elastic limit.

4. What is fracture stress?

Fracture stress is the maximum stress that a material can withstand before it fractures or breaks. It is often determined through experiments where a sample of the material is subjected to increasing amounts of stress until it breaks.

5. How are the elastic limit and fracture stress related?

The elastic limit and fracture stress are both measures of a material's strength and ability to withstand stress. The elastic limit is the maximum stress before permanent deformation occurs, while the fracture stress is the maximum stress before fracture or breakage occurs. In general, the fracture stress is higher than the elastic limit for most materials.

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