Variational Principle Involving the Stress Tensor in Elastodynamics

Details Variational Principle Involving the Stress Tensor in Elastodynamics Variational Principle Involving the Stress Tensor in Elastodynamics

2008-07-22

arxiv.org/abs/0807.3454v1

International Journal of Engineering Science / International Journal of Engineering Sciences 24, 7 (1986) 1057-1066

Physics

Classical Physics

The decomposition of the stress tensor proposed in this article (1986) for a hyperelastic medium is now widely used in the lit

Scientific paper

10.1016/0020-7225(86)90001-7

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.

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