Надіслати цю статтю Exact solution to the poroelasticity problem for a multilayered rectangular domain
Анотація
Точний розв’язок задачі поропружності для шаруватої прямокутної області
Розглядається поропружний напружений стан шаруватої прямокутної області в термінах крайової задачі теорії поропружності. Запропонований аналітичний метод розв’язання у випадку ідеального контакту між шарами дає змогу побудувати точний розв’язок задачі. Отримані у явному вигляді формули для визначення напружень, переміщень та тиску рідини відкрили можливість проведення всесторонніх числових досліджень, які демонструють залежність напруженого стану від поропружних властивостей матеріалів. Описаний підхід до розв’язання може бути розширено на випадок, коли між шарами задано умови «м’якого» чи «жорсткого» контактів.
Зразок для цитування: N. D. Vaysfeld, Z. Yu. Zhuravlova, “Exact solution to the poroelasticity problem for a multilayered rectangular domain,” Мат. методи та фіз.-мех. поля, 67, №3-4, 118-131 (2024), https://doi.org/10.15407/mmpmf2024.67.3-4.118-131
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