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How to calculate dissipated energy for a volume using the CENER output of Abaqus?

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Hi all,

I have developed a viscoelastic FE model to simulate the loading of a truck tire on viscoelastic asphalt road. I have a applied a sinusoidal truck tire load on the pavement. I plan to use CENER (creep dissipation energy density) to calculate dissipated energy under the tire.

My question is: how am I going to calculate dissipated energy for a specific road volume during the complete load cycle? CENER is monotonically increasing with time, should not it be looking more like a normal distribution than a cumulative dist, since I apply a sinusoidal load?