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The stress state of the finite cylinder with the circular cracks
Author(s) -
Vaysfeld Natalya,
Protserov Yuriy
Publication year - 2016
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201610080
Subject(s) - torsion (gastropod) , cylinder , shear stress , boundary value problem , geometry , stress intensity factor , stress (linguistics) , shear (geology) , materials science , mathematics , mechanics , mathematical analysis , physics , composite material , anatomy , fracture mechanics , medicine , linguistics , philosophy
The axysimmetrical torsion problem for a finite cylinder with an arbitrary quantity of the cylindrical layers is solved. The cylinder is weaked by the parallel circular cracks in the first internal layer. The stated boundary valued problem problem is reduced to the system of the integro‐duferential equations solving with the help of the orthogonal polinomials method. The stress intensity factors (SIF) are obtained. The dependences of SIF values from the cracks' sizes, their location, and ratio of the layers' shear moduluses are concretized for the case of the two layers. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)