@Article{AAMM-15-1166,
author = {Liu , XiangyiZhao , ZhiyeLiu , Nansheng and Lu , Xiyun},
title = {Numerical Simulations of the Richtmyer–Meshkov Instability of Solid-Vacuum Interface},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2023},
volume = {15},
number = {5},
pages = {1166--1190},
abstract = {<p style="text-align: justify;">The Richtmyer–Meshkov instability of interfaces separating elastic-plastic
materials from vacuum is investigated by numerical simulation using a multi-material
solid mechanics algorithm based on an Eulerian framework. The research efforts are
directed to reveal the influence of the initial perturbation and material strength on
the deformation of the perturbed interface impacted by an initial shock. By varying
the initial amplitude $(kξ_0)$ of the perturbed interface and the yield stress $(σ_{\Upsilon}),$ three
typical modes of interface deformation have been identified as the broken mode, the
stable mode and the oscillating mode. For the broken mode, the interface width (i.e.,
the bubble position with respect to that of the spike) increases continuously resulting
in a final separation of the spike from the perturbed interface. For the stable mode,
the interface width grows to saturation and then maintains a nearly constant value in
the long term. For the oscillating mode, the wavy-like interface moving forward obtains an aperiodic oscillation of small amplitude, namely, the interface width varies in
time slightly around zero. The intriguing difference of the typical modes is interpreted
qualitatively by comparing the early-stage wave motion and the commensurate pressure and effective stress. Further, the subsequent interface deformation is illustrated
quantitatively via the time series of the interface positions and velocities of these three
typical modes.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2022-0282},
url = {http://global-sci.org/intro/article_detail/aamm/21772.html}
}