find an expression for the energy density in terms of stress and strain
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Elastic Potential energy
Without load, restoring force = 0
after removal of load , Restoring force = F
average restoring force = F + 0/2 = F/2
Work Done to stetch = avarage force x displacement
Work = F/2 x delta L x AL / AL
= 1/2 x F/A x delta L / L x AL
P.E = 1/2 x Stress x Strain x AL
P.E/AL = 1/2 x Stess x Strain.
Without load, restoring force = 0
after removal of load , Restoring force = F
average restoring force = F + 0/2 = F/2
Work Done to stetch = avarage force x displacement
Work = F/2 x delta L x AL / AL
= 1/2 x F/A x delta L / L x AL
P.E = 1/2 x Stress x Strain x AL
P.E/AL = 1/2 x Stess x Strain.
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