Надіслати цю статтю Фундаментальні розв’язки для кусково-однорідного трансверсально-ізотропного пружного простору
Анотація
Проблема побудови фундаментальних розв’язків для кусково-однорідного трансверсально-ізотропного простору зведена до матричної задачі Рімана в просторі узагальнених функцій повільного зростання, для якої запропоновано метод розв’язування. В результаті отримано в явному вигляді вирази для компонент вектора фундаментального розв’язку, а також прості подання для компонент тензора напружень і вектора переміщень у площині з’єднання трансверсально-ізотропних пружних півпросторів, які знаходяться під дією зосереджених нормальних і дотичних сил. Досліджено поля напружень і переміщень у площині з’єднання півпросторів. Зокрема, для деяких комбінацій матеріалів наведено числові значення коефіцієнтів впливу зосереджених сил на напруження і переміщення. Встановлено також умови, при яких відсутні нормальні переміщення в площині з’єднання трансверсально-ізотропних пружних півпросторів.
Зразок для цитування: О. Ф. Кривий, Ю. O. Морозов, “Фундаментальні розв’язки для кусково-однорідного трансверсально-ізотропного пружного простору,” Мат. методи та фіз.-мех. поля, 63, No. 1, 122–132 (2020), https://doi.org/10.15407/mmpmf2020.63.1.122-132
Translation: О. F. Kryvyi, Y. О. Morozov, “Fundamental solutions for a piecewise-homogeneous transversely isotropic elastic space,” J. Math. Sci., 270, No. 1, 143–156 (2023), https://doi.org/10.1007/s10958-023-06337-w
Ключові слова
Посилання
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