.png){kind=icon}
返回
Exact analytical solutions for elastodynamic impact
.png){kind=icon}
OA
AI
DOI：10.1016/j.ijsolstr.2015.08.011.png)
.png){kind=icon}
.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
We consider the one-dimensional impact problem in which a semi-infinite flyer collides with (and adheres to) the front face of a stationary target plate of finite thickness, with the back face of the target bonded to another semi-infinite medium. All three bodies are assumed to be linear elastic and homogeneous. Our interest is in explicit expressions for the stress and velocity in the target at all times after impact. The analysis of this problem is simplified by reducing it to an initial-boundary value problem for the target only, which is solved by combining the d'Alembert solution of the wave equation with the Laplace transform method. An appropriate impact boundary condition is required on the front face of the target. In the literature this is usually taken as a prescribed step in stress or velocity, but the correct boundary condition involves a linear combination of the unknown stress and velocity at the impact face. Our solutions are expressed in an apparently new, compact form involving the floor (or greatest-integer) function. The results are amenable to asymptotic analysis; in particular, solutions for stress-free or rigid back faces follow easily as limiting cases of the backing impedance, and the long-time asymptotes of stress and velocity in the target are seen to be independent of the target's elastic properties. All of our results are corroborated by derivation of exact discrete solutions from recursive equations for the impact problems. Published by Elsevier Ltd.
Keyword:
One-dimensional impact
Elastic wave propagation
Laplace transform
Floor function
Discrete solutions
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
3.8
论文数:
1.2W
被引数:
3.1W
机构
引用论文
Mobility at the TpA cleavage site in the T3A3-containing AhaIII and PmeI restriction sequences.png)
Biochemistry
BiochemistryIF0
PREAI
分享收藏Localization of dynamic buckling patterns of cylindrical shells under axial impact轴向冲击下圆柱壳动力屈曲模式的局部化
PREAI
分享收藏分享收藏
查看更多内容