Fracture of a Circular Disk

What is it about?

The obtained closed algebraic system of equations and limit condition of the crack growth enable to determine the admissible size of the crack for different laws of deformation of interparticle bonds, elastic and geometrical characteristics of the material and the circular disk by means of numerical calculation for any specific circular disk. Distribution of forces in bonds and opening of crack faces is determined directly from the solution of the obtained algebraic systems.

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Why is it important?

The developed calculation method enables to solve the following practically important problems: to estimate the guaranteed resource of the disk with regard to expected deficiency and loading conditions; to set admissible level of deficiency and maximum value of actuating loads that provide sufficient safety margin; to select the disk’s material with a complex of characteristics of fracture toughness.