Новые связанные краевые задачи термоупругости в деформациях
Ключевые слова:
условие совместности Сен-Венана, метод конечных разностей, явные и неявные схемы, метод переменного направленияАннотация
Настоящая работа посвящена формулировке и численному решению связанных краевых задач термоупругости относительно деформаций. Предложены две эквивалентные связанные краевые задачи термоупругости относительно деформаций и температуры. Первая состоит из шести дифференциальных уравнений термоупругости найденных в рамках условий совместности деформаций Сен-Венана и уравнения притока тепла с соответствующими начальными и краевыми условиями. Во втором случае, первые три из шести дифференциальных уравнений термоупругости заменена с тремя продифференцированными уравнения движения. Справедливость сформулированных двух краевых задач термоупругости обоснованы сравнением их численных, полученных по методу прогонки и рекуррентных соотношений, а также решением аналогичной связанной задачи относительно перемещений.
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