Ударные волны в одномерном полубесконечном гиперупругом стержне

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Аннотация

Возбуждение гармонической волны в полубесконечном несжимаемом гиперупругом одномерном стержне (материал по модели Муни–Ривлина) приводит к формированию и распространению фронтов ударных волн, возникающих между полуволнами первоначальной гармонической волны, движущимися с разными скоростями. Фронты ударных волн приводят к поглощению медленно движущихся частей более быстрыми и, следовательно, уменьшают как кинетическую энергию, так и энергию упругой деформации с соответствующим выделением тепла. Для решения геометрически и физически нелинейных уравнений движения используется явная разностная схема Лакса–Вендроффа в сочетании с методом конечных элементов.

Об авторах

С. В. Кузнецов

Институт проблем механики РАН им. А.Ю. Ишлинского; Национальный исследовательский Московский государственный строительный университет (НИУ МГСУ)

Email: kuzn-sergey@yandex.ru
Москва, Россия; Москва, Россия

В. А. Митрошин

Национальный исследовательский Московский государственный строительный университет (НИУ МГСУ)

Email: mitroshin.vasiliy@yandex.ru
Москва, Россия

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