论文标题
虚拟权力原则：谎言协变量的方法。应用于非线性弹性，湍流，粘弹性
Virtual Power Principle: A Lie Covariant Approach. Applications to Non-Linear Elasticity, Turbulence, Visco-elasticity
论文作者
论文摘要
提出了基于谎言衍生物的虚拟力原理的协变量。 Lie协变量方法不需要内部产物，而Cauchy的变形张量则启动，但是，在Galilean Euclidean设置的一阶中，给出了通常通过Cauchy变形张量进行经典获得通常的线性结果。谎言方法还可以从分析的角度从固体中赋予流体，并导致提出滞后模型。在非线性一阶情况下，我们获得了用于粘弹性，非线性流体和非线性弹性的协变量模型，这些模型从通常的模型中脱颖而出。在第二阶情况下，获得了丰富的模型。
A covariant formulation of the virtual power principle based on Lie derivatives is proposed. The Lie covariant approach does not require an inner product and the Cauchy deformation tensor to start, but, at first order in a Galilean Euclidean setting, gives the usual linear results classically obtained with the Cauchy deformation tensor. The Lie approach may also enable to dfferentiate a fluid from a solid from an analytical point of view, and leads to propose a model for hysteresis. In the non-linear first order case we get covariant models for visco-elasticity, non linear fluids and non linear elasticity which dffer from usual models. In the second order case, enriched modelizations are obtained.
