A soft viscoelastic layer is susceptible to interfacial instability due to self-weight when oriented in a heavy over light configuration. This is the solid Rayleigh–Taylor instability. We perform an elastodynamic stability analysis for the viscoelastic layer in a cylindrical container and compute the dispersion relationship, as it depends upon the dimensionless elastogravity number, elastocapillary number, solid Deborah number, compressibility number, and the aspect ratio. The stability diagram is mapped in the parameter space and we compute the wavenumber and associated growth rate for the dominant mode. The presence of the cylindrical boundary restricts the allowable modes and we show how this affects mode number selection. Our predictions compare favorably to previously reported experimental work in the literature.

当以重于轻的配置取向时，软的粘弹性层由于自重而易于发生界面不稳定。这是固体瑞利-泰勒不稳定性。我们对圆柱形容器中的粘弹性层进行了弹性力学稳定性分析，并计算了色散关系，因为它取决于无量纲的弹性引数，弹性毛细管数，固体Deborah数，可压缩性数和纵横比。稳定性图被映射在参数空间中，我们计算了主导模式的波数和相关的增长率。圆柱边界的存在限制了允许的模式，我们展示了这如何影响模式编号的选择。我们的预测与文献中先前报道的实验工作相比具有优势。