Das Moumita, Vaziri Ashkan, Kudrolli Arshad, Mahadevan L
Division of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA.
Phys Rev Lett. 2007 Jan 5;98(1):014301. doi: 10.1103/PhysRevLett.98.014301.
We study the formation and evolution of localized geometrical defects in an indented cylindrical elastic shell using a combination of experiment and numerical simulation. We find that as a symmetric localized indentation on a semicylindrical shell increases, there is a transition from a global mode of deformation to a localized one which leads to the condensation of curvature along a symmetric parabolic defect. This process introduces a soft mode in the system, converting a load-bearing structure into a hinged, kinematic mechanism. Further indentation leads to twinning wherein the parabolic defect bifurcates into two defects that move apart on either side of the line of symmetry. A qualitative theory captures the main features of the phenomena but leads to further questions about the mechanism of defect nucleation.
我们结合实验和数值模拟,研究了压痕圆柱弹性壳中局部几何缺陷的形成与演化。我们发现,随着半圆柱壳上对称局部压痕的增加,会出现从整体变形模式到局部变形模式的转变,这会导致沿对称抛物线缺陷的曲率凝聚。这个过程在系统中引入了一个软模式,将承载结构转变为一个铰接的运动机构。进一步的压痕会导致孪生现象,其中抛物线缺陷会分叉成两个缺陷,它们在对称线的两侧分开移动。一个定性理论捕捉到了这些现象的主要特征,但也引发了关于缺陷成核机制的进一步问题。