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On the volume average of energy and net power

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This paper presents an analysis of volume average relations in connection with internal energy, net power and the balance of energy in continuum mechanics. The role of the so-called Hill and Hill–Mandel conditions in connection with the averaged energy balance equation has been elucidated. The significance of volume averages of stress moments for the calculation of the average net power is demonstrated.

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Correspondence to P. Lidström.

Additional information

Communicated by Stefan Seelecke.

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Lidström, P. On the volume average of energy and net power. Continuum Mech. Thermodyn. 23, 275–304 (2011). https://doi.org/10.1007/s00161-010-0175-4

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  • Continuum mechanics
  • Volume average relations
  • Average consistency