23.3.3. Elastic Energy Storage

Try these first

1. 1.

   What does σ represent in the elastic energy storage formula?

   Hint

   Think about what force is being exerted.

2. 2.

   What is the relationship between stress and strain?

   Hint

   Consider how many times you can stretch an elastic band.

3. 3.

   What is the formula for elastic energy storage?

   • E = σϵ
   • E = 1/2 σϵ
   • E = σ + ϵ

   Hint

   Think about how energy relates to force and stretch.

4. 4.

   True or False: Stress and strain are unrelated.

   • True
   • False

   Hint

   Consider how materials respond under force.

5. 5.

   If a rock experiences a stress of 100 MPa and a strain of 0.01, what is the elastic potential energy stored per cubic meter? Use E = 1/2 σϵ.

   Hint

   Always remember the 1/2 factor in the formula.

6. 6.

   Discuss how understanding elastic energy storage can improve seismic hazard assessments in urban areas.

   Hint

   Think about the advantages of knowing which faults are likely to release energy.