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.
Publié le : 1986-07-11
Classification:
Elastodynamics,
Variational principle,
Stress tensor canonical decomposition,
Stress tensor canonical decomposition.,
46.05.+b; 46.15.Cc; 62.20.D-; 81.40.Jj; 73C50; 73V25; 73B27,
[PHYS.MECA.SOLID]Physics [physics]/Mechanics [physics]/Mechanics of the solides [physics.class-ph],
[SPI.MECA.SOLID]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of the solides [physics.class-ph],
[PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph],
[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]
@article{hal-00303656,
author = {Gouin, Henri and Debieve, Jean-Fran\c cois},
title = {Variational Principle Involving the Stress Tensor in Elastodynamics},
journal = {HAL},
volume = {1986},
number = {0},
year = {1986},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00303656}
}
Gouin, Henri; Debieve, Jean-François. Variational Principle Involving the Stress Tensor in Elastodynamics. HAL, Tome 1986 (1986) no. 0, . http://gdmltest.u-ga.fr/item/hal-00303656/