Interaction of highly nonlinear solitary waves with elastic solids containing a spherical void
Interaction of highly nonlinear solitary waves with elastic solids containing a spherical void
复制标题
高度非线性孤立波与包含球形空隙的弹性固体的相互作用
DOI：
10.1016/j.ijsolstr.2017.03.018
复制
发表时间：
2017
影响因子：
3.6
通讯作者：
Tae
中科院分区：
文献类型：
--
作者：
A. Schiffer;A. Alkhaja;Jinkyu Yang;E. N. Esfahani;Tae
进行数值计算来检查一维粒状晶体中高度非线性孤立波与含有嵌入球形空隙形式的缺陷的弹性固体的相互作用。计算基于耦合数值模型，结合了离散元和有限元的概念。研究发现，反射孤立波的延迟和力幅由被检样品的局部接触刚度控制，并且受嵌入空隙的尺寸和深度的强烈影响。此外，预测显示，对于固定的空隙深度，反射孤立波的延迟随着空隙半径的增加而稳定增加，在足够小的空隙尺寸下接近原始情况（无空隙）。研究还发现，表面附近空隙的可检测性通常随着样品弹性模量的降低而增加，并且可以通过调节撞击器速度进一步增加。这项研究的结果可用于开发基于孤立波的诊断方案来检查具有空隙状缺陷的弹性固体。
Numerical calculations are performed to examine the interaction of highly nonlinear solitary waves in one-dimensional granular crystals with elastic solids containing a defect in the form of an embedded spherical void. The calculations are based on a coupled numerical model, combining concepts of discrete and finite elements. It is found that the delay and force amplitude of the reflected solitary waves are controlled by the local contact stiffness of the inspected sample, and are strongly affected by the size and depth of the embedded void. Moreover, the predictions show a steady increase of delay of the reflected solitary waves with increasing void radius for a fixed void depth, approaching the pristine case (no void) at sufficiently small void sizes. It is also found that the detectability of voids near the surface generally increases with decreasing sample's elastic modulus, and can be further increased by adjusting the striker velocity. The findings from this study can be used for developing a solitary wave-based diagnostic scheme to inspect elastic solids with void-like defects.