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When a material returns to its undeformed original position after removal of load, then this behavior is called linear elastic material response.
State whether the above statement is true or false.
  • a)
    True
  • b)
    False
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
When a material returns to its undeformed original position after remo...
Answer: a
Explanation: We have considered structures which show linear elastic material response.
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Most Upvoted Answer
When a material returns to its undeformed original position after remo...
The statement is true.

Explanation:
When a material returns to its undeformed original position after the removal of load, it exhibits a linear elastic material response. This means that the material behaves elastically within a certain range of applied stress or strain and returns to its original shape and size once the load is removed.

Key Points:
- Linear elastic behavior is a fundamental property of materials such as metals, ceramics, and some polymers.
- The linear elastic response is characterized by Hooke's Law, which states that the stress is directly proportional to the strain within the elastic limit.
- In other words, the relationship between stress and strain is linear during elastic deformation.
- When a load is applied to a material within its elastic limit, it deforms proportionally, and the deformation is reversible.
- The material stores potential energy in the form of elastic strain energy, which is released when the load is removed.
- The material returns to its original shape, size, and position without any permanent deformation.
- The linear elastic response is valid as long as the material remains within its elastic limit.
- If the applied load exceeds the elastic limit, the material may undergo plastic deformation, resulting in permanent changes in shape and size.
- The elastic limit is different for different materials and is determined by their mechanical properties.
- The linear elastic behavior is an idealization, and in reality, most materials exhibit some degree of nonlinearity and viscoelastic behavior.
- However, for small deformations and within the elastic limit, the linear elastic model provides a good approximation of material behavior.

Conclusion:
In summary, when a material returns to its undeformed original position after the removal of load, it demonstrates a linear elastic material response. This behavior is characterized by a linear relationship between stress and strain within the elastic limit, with the material exhibiting complete reversibility of deformation.
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When a material returns to its undeformed original position after removal of load, then this behavior is called linear elastic material response.State whether the above statement is true or false.a)Trueb)FalseCorrect answer is option 'A'. Can you explain this answer?
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