Variational Principle Involving the Stress Tensor in ElastodynamicsReport as inadecuate

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1 MSNMGP - Modélisation et Simulation Numérique en Mécanique et Génie des Procédés 2 IUSTI - Institut universitaire des systèmes thermiques industriels

Abstract : In the mechanics of inviscid conservative fluids, it is classical to generate the equations of dynamics by formulating with adequate variables, that the pressure integral calculated in the time-space domain corresponding to the motion of the continuous medium is stationary.
The present study extends this principle to the dynamics of large deformations for isentropic motions in thermo-elastic bodies: we use a new way of writing the equations of motion in terms of potentials and we substitute the trace of the stress tensor for the pressure term.

keyword : Elastodynamics Variational principle Stress tensor canonical decomposition Stress tensor canonical decomposition.

Author: Henri Gouin - Jean-François Debieve -



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