弹性动力学中包含应力张量的变分原理
Variational Principle Involving the Stress Tensor in Elastodynamics
摘要:
在无粘守恒流体力学中,经典的动力学方程是用足够的变量来表示的,即在时空域中计算的与连续介质运动相对应的压力积分是定常的。本研究将这一原理扩展到热弹性体中等熵运动的大变形动力学:我们使用一种新的方式来写运动方程的潜力,我们取代压力项的应力张量的轨迹。
英文摘要:
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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