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Условие прочности горных пород

Условие прочности горных пород

Abstract

In this paper on the basis of earlier research author proposes the criterion for fracture of solids (rocks). There are methodological foundations of its receipt with brief theoretical calculations. Its analysis and interpretation of the results are produce. Author analyzes the value of the angle of inclination of the most dangerous area in the cut-off limit equilibrium for different levels of stress. It is shown that the value of this angle is not constant, but it depends on the values of limiting components of the principal stresses. There were reviewed particular cases of the proposed criteria for the perfect loose and perfectly connected areas. It is pointed to the fundamental difference between Mohr and Coulomb criterions. It is specified the benefits of the proposed criterion to known analogy when it is used as the yield of surface (plastic potential). There is physical interpretation of the phenomenon of dilatancy at the fracture of solids.

На основании ранее выполненных автором исследований в работе предлагается критерий разрушения твердых тел (горных пород). Излагаются методологические основы его получения с краткими теоретическими выкладками. Производится его анализ и интерпретация получаемых результатов. Анализируется значение угла наклона наиболее опасной площадки среза в предельном равновесии для различного уровня напряженного состояния. Показывается, что значение данного угла не является постоянной величиной, а зависит от значений предельных компонент главных напряжений. Рассматриваются частные случаи предлагаемого критерия для идеально сыпучих и идеально связных сред. Указывается на принципиальное отличие критериев Кулона и Мора. Указывается на преимущества предлагаемого критерия перед известным аналогом при его использовании в качестве поверхности текучести (пластического потенциала). Дана физическая интерпретация явлению дилатансии при разрушении твердых тел.

Keywords

КРИТЕРИЙ РАЗРУШЕНИЯ,FAILURE CRITERION,УСЛОВИЯ РАВНОВЕСИЯ,EQUILIBRIUM CONDITIONS,ДИФФЕРЕНЦИАЛЬНОЕ УРАВНЕНИЕ,DIFFERENTIAL EQUATION,ГЛАВНЫЕ НАПРЯЖЕНИЯ,УГОЛ НАКЛОНА ПЛОЩАДКИ СКОЛЬЖЕНИЯ,ANGLE PAD BEARINGS,КРИТЕРИЙ КУЛОНА,COULOMB CRITERION,КРИТЕРИЙ МОРА,CRITERION OF MORALITY,АССОЦИИРОВАННЫЙ ЗАКОН ПЛАСТИЧЕСКОГО ТЕЧЕНИЯ,ASSOCIATED LAW OF PLASTIC FLOW,КОЭФФИЦИЕНТ ДИЛАТАНСИИ,DILATANCY COEFFICIENT,ПЛАСТИЧЕСКОЕ ДЕФОРМИРОВАНИЕ,PLASTIC DEFORMATION,PRINCIPAL STRESSES

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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
gold