标题： 索利亚乌的相对论性广义协变超弹性表述的重新审视 显示英文标题

标题： Souriau's Relativistic general covariant formulation of hyperelasticity revisited

摘要： 我们呈现并现代化Souriau于1958年提出的相对论连续介质的几何框架，并阐明自那时以来所做的必要和随意的建模选择，尽可能从连续介质力学的观点进行阐述。 我们描述了广义相对论中的超弹性一般协变公式，然后在静态时空的特殊情况中进行描述。 最后，我们将这一形式应用于施瓦茨希尔德度规，并在此公式的牛顿-卡坦无限光速极限下恢复经典伽利略超弹性与重力。 显示英文摘要

摘要： We present and modernize Souriau's 1958 geometric framework for Relativistic continuous media, and enlighten the necessary and the ad hoc modeling choices made since, focusing as much as possible on the Continuum Mechanics point of view. We describe the general covariant formulation of Hyperelasticity in General Relativity, and then in the particular case of a static spacetime. Finally, we apply this formalism for the Schwarzschild's metric, and recover the Classical Galilean Hyperelasticity with gravity, as the Newton-Cartan infinite light speed limit of this formulation.