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What happens to the stress and strain within a material when it reaches its elastic limit?

Question

What happens to the stress and strain within a material when it reaches its elastic limit?

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Solution

When a material reaches its elastic limit, several things happen to its stress and strain:

  1. Stress: The stress within the material reaches a maximum point. This is the maximum amount of stress that the material can withstand without undergoing permanent deformation. Beyond this point, if more stress is applied, the material will start to deform permanently.

  2. Strain: The strain, or the amount of deformation in the material relative to its original size, also reaches a maximum at the elastic limit. Up to this point, the material will return to its original shape once the stress is removed. Beyond the elastic limit, the material will not return to its original shape even if the stress is removed.

  3. Elasticity: The material loses its elasticity beyond the elastic limit. This means that it will no longer return to its original shape after being deformed. Instead, it will undergo plastic deformation, which is permanent.

  4. Hooke's Law: Up to the elastic limit, the stress and strain within a material are proportional to each other, as described by Hooke's Law. However, beyond the elastic limit, this relationship no longer holds true. The material

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