论文标题
球形对称的各向同性弹性物体的膨胀和崩溃被真空包围
Expansion and collapse of spherically symmetric isotropic elastic bodies surrounded by vacuum
论文作者
论文摘要
给出了一类别的各向同性和尺度不变的应变能函数，该功能的相应球体对称弹性运动包括随时间或在有限时间内的直径变为无限的身体，取决于残留压力的迹象。人体被真空包围，使边界表面势消失，而密度则严格为正。身体仅受到内部弹性应力。
A class of isotropic and scale invariant strain energy functions is given for which the corresponding spherically symmetric elastic motion includes bodies whose diameter becomes infinite with time or collapses to zero in finite time, depending on the sign of the residual pressure. The body is surrounded by vacuum so that the boundary surface forces vanish, while the density remains strictly positive. The body is subject only to internal elastic stress.
