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A linear force-deformation relation is obtained in materials
- a)having elastic stress-strain property
- b)having plastic stress-strain property
- c)following Hooke's law
- d)which are rigid elastic materials
Correct answer is option 'C'. Can you explain this answer?
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A linear force-deformation relation is obtained in materialsa)having e...
A linear force-deformation relation is obtained in materials that have an elastic stress-strain property and follow Hooke's law. Hooke's law states that the strain (deformation) of a material is directly proportional to the stress (force) applied to it, provided that the stress is below the material's elastic limit.
Materials that follow Hooke's law and have a linear force-deformation relation are known as elastic materials. These materials are able to return to their original shape after the applied force is removed. Examples of elastic materials include metals such as steel and aluminum, and some polymers such as rubber.
Materials that have a plastic stress-strain property do not follow Hooke's law and do not have a linear force-deformation relation. These materials are able to undergo permanent deformation when a force is applied, and do not return to their original shape when the force is removed. Examples of materials with a plastic stress-strain property include some polymers, ceramics, and certain types of concrete.
Rigid elastic materials are a special type of elastic material that is able to withstand extremely large stresses without undergoing any permanent deformation. These materials are not commonly used in engineering applications due to their extremely high stiffness and low ductility.
Most Upvoted Answer
A linear force-deformation relation is obtained in materialsa)having e...
Linear force-deformation relation is obtained in materials following Hookes law.
Explanation:
Hookes law states that the deformation produced in a body is directly proportional to the applied force, provided the limit of proportionality is not exceeded. This means that for small deformations, the stress-strain relationship is linear and can be expressed as:
σ = Eε
where σ is the stress, E is the modulus of elasticity (also known as Young's modulus), and ε is the strain.
Materials that follow Hookes law exhibit a linear force-deformation relationship because the stress-strain relationship is linear within the elastic range. This means that if a material is subjected to a small deformation, the stress produced will be directly proportional to the deformation. As the deformation increases, the stress-strain relationship becomes non-linear, and the material may exhibit plastic deformation, yielding or rupture.
Therefore, the correct answer is option 'C' - materials following Hookes law.
Explanation:
Hookes law states that the deformation produced in a body is directly proportional to the applied force, provided the limit of proportionality is not exceeded. This means that for small deformations, the stress-strain relationship is linear and can be expressed as:
σ = Eε
where σ is the stress, E is the modulus of elasticity (also known as Young's modulus), and ε is the strain.
Materials that follow Hookes law exhibit a linear force-deformation relationship because the stress-strain relationship is linear within the elastic range. This means that if a material is subjected to a small deformation, the stress produced will be directly proportional to the deformation. As the deformation increases, the stress-strain relationship becomes non-linear, and the material may exhibit plastic deformation, yielding or rupture.
Therefore, the correct answer is option 'C' - materials following Hookes law.
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A linear force-deformation relation is obtained in materialsa)having elastic stress-strain propertyb)having plastic stress-strain propertyc)following Hookes lawd)which are rigid elastic materialsCorrect answer is option 'C'. Can you explain this answer?
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