论文标题
拉直皱纹
Straightening wrinkles
论文作者
论文摘要
我们考虑了一个圆柱形扇形的弹性变形，该圆柱部门由不可压缩的各向同性软固体组成，当它伸直到矩形块中时。在此过程中，在原始外表面上的那些侧面的原始面元素被拉伸。我们研究了后者元素可以收缩到局部增量不稳定性的地步的几何和物理条件。我们提供了一种强大的算法来求解相应的两点边界值问题，该问题在数值上是僵硬的。在Mooney-Rivlin材料的情况下，我们以完全递增的位移场说明了结果，并对薄扇区进行渐近分析
We consider the elastic deformation of a circular cylindrical sector composed of an incompressible isotropic soft solid when it is straightened into a rectangular block. In this process, the circumferential line elements on the original inner face of the sector are stretched while those on the original outer face are contracted. We investigate the geometrical and physical conditions under which the latter line elements can be contracted to the point where a localized incremental instability develops. We provide a robust algorithm to solve the corresponding two-point boundary value problem, which is stiff numerically. We illustrate the results with full incremental displacement fields in the case of Mooney-Rivlin materials and also perform an asymptotic analysis for thin sectors
