Abstract
Interaction of arbitrarily located system of rectilinear bridged cracks is considered. It is assumed that the mixed boundary conditions are given on the boundary of the circular disk. It is accepted that the fracture zone is a finite length layer containing a material with partially disturbed bonds between its separate structural elements (end zone). Existence of bonds between the cracks surfaces in the end zones is simulated by application of cohesive forces caused by the presence of bonds to the crack surfaces. Limit equilibrium analysis of cracks is formulated, taking account the criterion of the limit traction of the bonds in the material at the edge of the cracks end zone. DOI: https://dx.doi.org/10.5755/j01.mech.21.5.9518
Highlights
Circular disks are widely used in contemporary machines
At the design stage of a disk it is necessary to take into account that there may happen crack initiation in the disk, to perform limit analysis of the disk to establish that the adversely located would-be initial cracks will not grow to critical sizes and will not cause fracture in the course of the estimated lifetime
The size of the initial minimal crack should be considered as a design characteristics of the disk material
Summary
The disk strength issues are very urgent, and undoubtedly the interest to these issues will grow in connection with the existing tendency of development of engineering and energetics. At the design stage of a disk it is necessary to take into account that there may happen crack initiation in the disk, to perform limit analysis of the disk to establish that the adversely located would-be initial cracks will not grow to critical sizes and will not cause fracture in the course of the estimated lifetime. The size of the initial minimal crack should be considered as a design characteristics of the disk material. In a great majority of the existing papers A. Griffits’s model of a crack is used. In the present paper we use a model of a bridged crack [3,4,5]
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