What is the relation between energy density and stress? Plot a graph between them.

Solution

Energy density in terms of strain and stress is given by,

Energy space density space equals space 1 half cross times stress cross times strain rightwards double arrow space Energy space density space equals space 1 half cross times stress space cross times space stress over straight gamma space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 1 half space fraction numerator left parenthesis stress right parenthesis squared over denominator straight gamma end fraction

Graph between Energy density and Stress is as shown below:

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