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Daily Concept Booster Mechanical Engineering: Strain Energy Resilience and Toughness

Strain Energy Resilience and Toughness

Strain Energy (SE)

It is defined as the energy absorbed by a member when work done by the load deforms that member.
SE=1/2 P∆

Resilience

It is defined as the energy absorbed by a member within the elastic region.

Proof Resilience (PR)

It is defined as the maximum energy absorbed by a member up to the elastic limit.
PR=1/2 P_elastic ∆_elastic
Proof resilience is the area under the load vs deflection curve up to elastic limit
It is not a property

When proof resilience increases

  • There is a selection of material with higher elastic limit
  • There is a selection of material with lower young’s modulus
  • It provides more volume

Modulus of resilience (MR)

MR=(Proof Resilience)/Volume

  • MR is a property.

Toughness

It is defined as the energy absorbed by a material up to fracture.
Toughness is the total area under the load deflection curve.

Modulus of toughness

Toughness per unit volume is called modulus of toughness.

  • Modulus of toughness and modulus of resilience is two important property of a material when it is subjected to impact loading.

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Published by VINAYAK KUMAR

Graduated from BIT Sindri, Postgraduated from IIT BHU Varanasi

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