НПК «Механобр-техника», РФ:

Вайсберг Л. А., научный руководитель, член-кор. РАН, д-р техн. наук

Иванов К. С., научный сотрудник, канд. техн. наук

E-mail (общий): gornyi@mtspb.com

Институт проблем машиноведения РАН, РФ:

Демидов И. В., аспирант

В статье представлен обзор современных методов численного исследования и моделирования динамики сыпучих сред при вибрационных воздействиях. Внимание уделяется характерным режимам — «агрегатным состояниям» сыпучего материала, реализующимся в зависимости от интенсивности вибрационного воздействия и механических характеристик материала. Выделяются три «агрегатных состояния»: упруго-пластичное твердое тело — если взаимное расположение частиц материала меняется слабо, вязкая «гранулярная жидкость» — если преобладают смещения частиц без разрыва контактов, и «гранулярный газ» — когда время контактного взаимодействия между частицами мало по сравнению со временем их свободного пробега. Также выделяются три группы подходов к моделированию: микроскопические — рассматривающие материал на уровне отдельных частиц, статистическая механика/кинетическая теория — обобщающие кинетическую теорию газов для неупругих взаимодействий, феноменологические модели и модели сплошной среды. Для каждой группы моделей указаны диапазоны применимости и возможности методов. Применение описанных подходов проиллюстрировано рядом случаев специфического поведения сыпучих материалов: гранулярном эффекте Лейденфроста, гранулярной конвекции, осциллонах и др.

Настоящий научный проект выполняется в соответствии с соглашением (грантом) с Министерством образования и науки РФ № 14.579.21.0023 от 05.06.2014 г.

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