单轴拉伸-压缩后,异模态弹性半空间中的平面应变波在其边界强制停止阶段的相互作用

O. V. Dudko, A. A. Lapteva, V. E. Ragozina
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引用次数: 0

摘要

摘要 研究了多模量弹性半空间中的波型演变,边界以非定常单轴片断线性 "拉伸-压缩-停止 "模式运动。边界值问题的解包括平面一维应变波之间相互作用的所有情况,包括反射弱强度锋。研究揭示了多模量介质中一维弹性变形动力学的许多新特征,其中一些特征(例如,在距离加载边界一定距离处出现反射冲击波、狭窄运动区从压缩状态到刚性状态的循环过渡以及边界停止后近边界区拉伸应变水平的逐步降低)可以在给定边界加载时仅考虑反射效应而获得。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

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Interaction of Plane Strain Waves in a Heteromodular Elastic Half-Space at the Stage of Forced Stopping of Its Boundary after Uniaxial Tension–Compression

The evolution of the wave pattern in a multimodulus elastic half-space with a boundary moving in nonstationary uniaxial piecewise linear “tension–compression–stop” mode is studied. The solution of the boundary value problem includes all cases of interaction between plane one-dimensional strain waves, including reflected weak-intensity fronts. A number of new features of one-dimensional elastic deformation dynamics in a multimodulus medium are revealed, some of which (e.g., the appearance of a reflected shock wave at a distance from the loaded boundary, cyclic transitions of a narrow moving zone from a compressed to rigid state and back, and a stepwise decrease in the tensile strain level in the near-boundary zone after the boundary is stopped) can be obtained with a given boundary loading only taking into account reflection effects.

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来源期刊
Journal of Applied and Industrial Mathematics
Journal of Applied and Industrial Mathematics Engineering-Industrial and Manufacturing Engineering
CiteScore
1.00
自引率
0.00%
发文量
16
期刊介绍: Journal of Applied and Industrial Mathematics  is a journal that publishes original and review articles containing theoretical results and those of interest for applications in various branches of industry. The journal topics include the qualitative theory of differential equations in application to mechanics, physics, chemistry, biology, technical and natural processes; mathematical modeling in mechanics, physics, engineering, chemistry, biology, ecology, medicine, etc.; control theory; discrete optimization; discrete structures and extremum problems; combinatorics; control and reliability of discrete circuits; mathematical programming; mathematical models and methods for making optimal decisions; models of theory of scheduling, location and replacement of equipment; modeling the control processes; development and analysis of algorithms; synthesis and complexity of control systems; automata theory; graph theory; game theory and its applications; coding theory; scheduling theory; and theory of circuits.
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