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Решение задачи Л. А. Галина в постановке Коши

Решение задачи Л. А. Галина в постановке Коши

Abstract

The elastoplastic problem for a circular cross-section tunnel with the pre-set boundary displacements is under consideration. For the cases of incomplete and complete enveloping of the tunnel boundary by elastoplasticity, the authors construct the solution free of the data “at infinity”, which allows assessment of the elastoplastic stresses and strains based on the data obtained on well surface and by the properties of the medium.

Рассматривается упругопластическая задача для выработки кругового сечения с заданными на ее границе смещениями. Для случаев полного и неполного охватов упругопластической границей контура выработки построено решение, не использующее данные на «бесконечности», позволяющее оценивать упругопластическое напряженное и деформированное состояния по данным на поверхности скважины и по свойствам среды.

Keywords

НАПРЯЖЕНИЯ, ДЕФОРМАЦИИ, УПРУГОСТЬ, ПЛАСТИЧНОСТЬ, УПРУГОПЛАСТИЧЕСКАЯ ГРАНИЦА, ЗАДАЧА КОШИ

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green