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JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

Dal'nevost. Mat. Zh., 2005 Volume 6, Number 1-2, Pages 94–105 (Mi dvmg202)

This article is cited in 6 papers

About distribution of flat one-dimensional waves and their interaction with barrier in the media differently reacting to a stretching and compression

O. V. Dudko, A. A. Lapteva, K. T. Semenov

Institute for Automation and Control Processes, Far Eastern Branch of the Russian Academy of Sciences

Abstract: Features of distribution of boundary perturbations on the elastic media differently reacting to a stretching and compression are studied. One-dimensional cases of shock loading of elastic half-space and reflections of shock perturbations front from rigidly fixed and free boundary of the heterogeneous elastic layer are considered. It is shown, that boundary perturbations can result in occurrence of the shock waves based and moving layers of undeformed media. Speeds of shock waves movement and media points movings are calculated depending on spatial coordinate and time.

Key words: the heterogeneous elastic media, shock waves, problems of reflection from rigidly fixed and free boundary.

UDC: 539.3

MSC: 74J40

Received: 16.05.2005



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