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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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.