Variational Principle Involving the Stress Tensor in Elastodynamics

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dc.creatorGouin, Henri
dc.creatorDebieve, Jean-François
dc.date2008-07-22
dc.date.accessioned2026-07-07T09:52:05Z
dc.date.available2026-07-07T09:52:05Z
dc.descriptionIn 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.
dc.descriptionThe decomposition of the stress tensor proposed in this article (1986) for a hyperelastic medium is now widely used in the literature. 16 pages
dc.identifierhttps://arxiv.org/abs/0807.3454
dc.identifierhttp://arxiv.org/abs/0807.3454
dc.identifierInternational Journal of Engineering Science / International Journal of Engineering Sciences 24, 7 (1986) 1057-1066
dc.identifierdoi:10.1016/0020-7225(86)90001-7
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165469
dc.subjectClassical Physics
dc.subjectMathematical Physics
dc.titleVariational Principle Involving the Stress Tensor in Elastodynamics
dc.typetext

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