Надіслати цю статтю Розв’язування основних крайових задач теорії пружності для смуги з використанням функції Вігака
Анотація
Показано, що три основні крайові задачі теорії пружності для смуги можна розв’язати з використанням єдиного підходу, який ґрунтується на використанні методу безпосереднього інтегрування з поданням шуканих компонент тензора напружень та вектора переміщень через визначальну функцію Вігака. Таке подання є вигідним для використання у задачах оптимізації та керування напруженим станом, оскільки забезпечує безпосередню можливість керувати компонентами напружено-деформованого стану з використанням єдиної функції. Показано, що інтегральні умови рівноваги, отримані шляхом інтегрування рівнянь рівноваги з урахуванням впливу межі (тобто заданих – у випадку першої основної задачі, чи реактивних – у випадку другої та третьої основних задач напружень на поздовжніх сторонах смуги) є ефективним критерієм перевірки точності обчислень для трьох основних задач.
Зразок для цитування: Ю. В. Токовий, М. Й. Юзв’як, “Розв’язування основних крайових задач теорії пружності для смуги з використанням функції Вігака”, Мат. методи та фіз.-мех. поля, 67, №3-4, 97-117 (2024), https://doi.org/10.15407/mmpmf2024.67.3-4.97-117
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