Fracture Parameter Minimization of a Circular Disk with Mixed Conditions on its Boundary
V. M. Mirsalimov1,2
1Azerbaijan Technical University, Baku, AZ1073, Azerbaijan
2Institute of Mathematics and Mechanics, National Academy of Sciences, Azerbaijan, Baku, AZ1141, Azerbaijan
Keywords: круговой диск, смешанные граничные условия, трещины, функция перемещений точек границы диска, минимизация параметров разрушения, circular disk, mixed boundary conditions, cracks, displacement function of disk boundary points, fracture parameter minimization
Abstract
Minimax criterion is used to carry out the theoretical analysis of normal displacement of points at the boundary of a circular disk weakened by arbitrarily placed rectilinear cracks. This paper presents a criterion and method for solving the problem of fracture of the circular disk with mixed conditions on its boundary. A closed system of algebraic equations is constructed, which allows for minimization of stress intensity factors. The normal displacement of points at the boundary of the circular disk, for which the bearing capacity of the disk increases.
|
