Interface tunnel cracks in a composite anisotropic space

Exact solutions of the problem of tunnel cracks in the plane between two anisotropic half-spaces which are in conditions of generalized plane deformation (without the presence of planes of elastic symmetry) are obtained. Using the proposed procedure, which rests on constructed solutions of the Riema...

Full description

Saved in:
Bibliographic Details
Published in:Journal of applied mathematics and mechanics 2008, Vol.72 (4), p.499-507
Main Authors: Krivoi, A.F., Popov, G.Ya
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fracture mechanics (crack, fatigue, damage...)
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Structural and continuum mechanics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Exact solutions of the problem of tunnel cracks in the plane between two anisotropic half-spaces which are in conditions of generalized plane deformation (without the presence of planes of elastic symmetry) are obtained. Using the proposed procedure, which rests on constructed solutions of the Riemann matrix problem in the space of generalized functions of slow growth, the problem is reduced to a system of singular integral equations. Exact solutions of this system are constructed, which enable the conditions for which zones of overlap of the crack surfaces to be obtained, as well as formulae for calculating the dimensions of these zones, and enable the normal fracture stresses and limit values of the stress intensity factors to be determined. The behaviour of these quantities for different combinations of materials of the monoclinic and orthorhombic systems for orthogonal transformations of the principal axes of symmetry is investigated.
ISSN:0021-8928
0021-8928
DOI:10.1016/j.jappmathmech.2008.08.001