论文标题
开出Cosserat弹性固体中的单数点的数量
On prescribing the number of singular points in a Cosserat-elastic solid
论文作者
论文摘要
在用于微极性弹性固体的几何非线性粘液胶模型中，我们将奇异点的偶极子对插入光滑的地图中，并控制这样做所需的cosserat能量的量。我们使用这种方法将任意数量的奇异点通过规定平滑的边界数据来迫使Cosserat弹性固体。在整个本文中，我们利用了谐波图与Cosserat弹性固体之间的联系，以便我们能够适应R. Hardt和F.-H的思想并结合了思想。林以及F.Béthuel。
In a geometrically non-linear Cosserat model for micro-polar elastic solids, we insert dipole pairs of singularities into smooth maps and control the amount of Cosserat energy needed to do so. We use this method to force an arbitrary number of singular points into Cosserat-elastic solids by prescribing smooth boundary data. Throughout this paper, we exploit connections between harmonic maps and Cosserat-elastic solids, so that we are able to adapt and incorporate ideas of R. Hardt and F.-H. Lin, as well as F. Béthuel.
