Equistrong hole shape for crack growth deceleration under longitudinal shear

The problem of finding an equistrong hole shape in crack tip and its effect on crack development is considered. A criterion and method for the problem solution to prevent brittle fracture of solid weakened by longitudinal shear crack is proposed. Using the perturbation method and the conformal mappi...

Повний опис

Збережено в:
Бібліографічні деталі
Дата:2018
Автор: Калантарлы, Н. М.
Формат: Стаття
Мова:Russian
Опубліковано: Інститут енергетичних машин і систем ім. А. М. Підгорного Національної академії наук України 2018
Теми:
Онлайн доступ:https://journals.uran.ua/jme/article/view/117207
Теги: Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
Назва журналу:Journal of Mechanical Engineering

Репозитарії

Journal of Mechanical Engineering
Опис
Резюме:The problem of finding an equistrong hole shape in crack tip and its effect on crack development is considered. A criterion and method for the problem solution to prevent brittle fracture of solid weakened by longitudinal shear crack is proposed. Using the perturbation method and the conformal mapping to parametric plane, the problem in each approximation is reduced to boundary value problem for analytic function. In each approximation, the solution of the boundary value problem for analytic function in the class of everywhere bounded functions (stresses) is obtained in closed form. The reduction of the stress concentration on the hole’s contour in the crack tip is done by the method of least squares. To determine expansion coefficients of the Fourier series of the required hole shape function and the optimal value of circumferential tangential stress in surface layer of the hole an infinite linear system of algebraic equations is obtained for elastic material. The condition of brittle fracture is obtained.