Torsion problem for elastic multilayered finite cylinder with circular crack

doi:10.1007/s10483-017-2173-7

Abstract

Abstract:

An axisymmetric tangent stress is applied to a lateral surface of a multilayered elastic finite cylinder with a fixed bottom face. The problem is solved for an arbitrary number of layers. The layers are coaxial, and the conditions of an ideal mechanical contact are fulfilled between them. A circular crack is situated parallel to the cylinder's faces in the internal layer with branches free from stress. The upper face of the cylinder is also free from stress. Concretization of the problem is done on examples of two-and three-layered cylinders. An analysis of cylinders' stress state is conducted and the stress intensity factor is evaluated depending on the crack's geometry, its location and ratio of the shear modulus. Advantages of the proposed method include reduction of the solution constants' number regardless of the number of layers, and presentation of the mechanical characteristics in a form of uniformly convergent series.

Key words: multilayered cylinder, integral transformation, circular crack, singular integral equation

2010 MSC Number:

O343

Y. PROTSEROV, N. VAYSFELD. Torsion problem for elastic multilayered finite cylinder with circular crack. Applied Mathematics and Mechanics (English Edition), 2017, 38(3): 423-438.

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