Mechanical Engineering - Strength of Materials - Discussion

Because we all know that when a material is subjected to an external loading internal resisting forces start developing in a material gradually along with the deformation. As the resisting forces moves with the deformation, work is done by these forces.

This work done is stored as Energy and this energy makes the material to regain its size and shape if the loading is within an elastic limit. This stored energy in a body due to straining of a material is what we call as Strain energy and this strain energy per unit volume is called as RESILIENCE. !

The maximum strain energy that can be stored in a material within elastic limit is Proof resilience. Proof resilience per unit volume is called as Modulus of resilience. !

Thank you:).

When a body is subjected to an external force, stress and strain are produced in the body and the work done on the body is absorbed as strain energy in the body.

If the external forces are removed then strain energy absorbed is fully recovered, and it is said to be resilience of the body.

Within the elastic limit, the strain energy is fully recoverable i.e., strain energy= resilience (within the elastic limit).

Energy stored in a body when strained within elastic limits is STRAIN ENERGY.

Energy stored in a body when strained up to the breaking of the specimen is TOUGHNESS.

Maximum strain energy which can be stored in a body is ELASTIC RESILIENCE.

The ability of a material to absorb energy when a it is stressed up to the elastic limit is RESILIENCE.

In simple defenition,

Resilience=stain energy/volume. It's unit is Joule per cubic meter.
Proof Resilience=maximum strain energy stored by body without undergoing permanent deformation.
Modulus of resilience= proof Resilience/unit volume.

Option (A) is correct.

Resilience: Strain Energy within the elastic limit.

Proof resilience: Maximum Energy stored up to the elastic limit.

Modulus of resilience: Proof resilience per unit volume.

Resilience is the energy stored in the body with an elastic limit.

While Proof resilience is the energy stored in the body upto the elastic limit.

So, the Correct Answer is D.

Answer is none of the above.

Because resilience is the ABILITY of the material to absorb strain energy not the energy absorbed as many of my friends above have pointed out.

Resilience is the amount of energy stored per unit volume within the elastic limit.

Where as strain energy is the energy stored in the material within the elastic limit.

Resilience is the material ability to absorb energy when deformed elastically and then release that energy upon unloading and returning its original shape.

Resilence means to absorb the energy up to proportionality limit is called the resilience.

Strain energy means energy is absorbed up to the elastic limit.