Publication detail
STRESS SINGULARITY AT AN SEMI-INFINITE CRACK PERPENDICULAR TO THE INTERFACE BETWEEN TWO ORTHOTROPIC MATERIALS
PROFANT, T. ŠEVEČEK, O. KOTOUL, M.
Czech title
STRESS SINGULARITY AT AN SEMI-INFINITE CRACK PERPENDICULAR TO THE INTERFACE BETWEEN TWO ORTHOTROPIC MATERIALS
English title
STRESS SINGULARITY AT AN SEMI-INFINITE CRACK PERPENDICULAR TO THE INTERFACE BETWEEN TWO ORTHOTROPIC MATERIALS
Type
conference paper
Language
cs
Original abstract
The study of the stress and displacement fi eld near the semi-infi nite crack tip terminating perpendicular to the interface between two orthotropic materials is considered in this paper. Using an anisotropic complex method, the present analysis gives singularity exponents as the solution of an eigenvalue problem and as the root of some nonlinear equation. This leads to a closed-form expression for stresses and displacements. The matrix of the eigenvalue problem depends on the number of layers at the singular point, their relative elastic properties and the boundary conditions such as free surface or bonded interface close to the crack tip.The auxiliary solution features stronger singularity and can be used to determination of the generalized intensity factor. The knowledge of the exponent allows to solve the integral equation for the dislocation density and consequently to fi nd the T-stress.
Czech abstract
The study of the stress and displacement fi eld near the semi-infi nite crack tip terminating perpendicular to the interface between two orthotropic materials is considered in this paper. Using an anisotropic complex method, the present analysis gives singularity exponents as the solution of an eigenvalue problem and as the root of some nonlinear equation. This leads to a closed-form expression for stresses and displacements. The matrix of the eigenvalue problem depends on the number of layers at the singular point, their relative elastic properties and the boundary conditions such as free surface or bonded interface close to the crack tip.The auxiliary solution features stronger singularity and can be used to determination of the generalized intensity factor. The knowledge of the exponent allows to solve the integral equation for the dislocation density and consequently to fi nd the T-stress.
English abstract
The study of the stress and displacement fi eld near the semi-infi nite crack tip terminating perpendicular to the interface between two orthotropic materials is considered in this paper. Using an anisotropic complex method, the present analysis gives singularity exponents as the solution of an eigenvalue problem and as the root of some nonlinear equation. This leads to a closed-form expression for stresses and displacements. The matrix of the eigenvalue problem depends on the number of layers at the singular point, their relative elastic properties and the boundary conditions such as free surface or bonded interface close to the crack tip.The auxiliary solution features stronger singularity and can be used to determination of the generalized intensity factor. The knowledge of the exponent allows to solve the integral equation for the dislocation density and consequently to fi nd the T-stress.
Keywords in English
bimaterial, crack, orthotropic
RIV year
2006
Released
02.01.2006
Publisher
Univerzita J.E. Purkyně
Location
Ústí nad Labmem
ISBN
80-7044-782-6
Book
Dynamika tuhých a deformovatelných těles 2006
Pages from–to
175–182
Pages count
8
BIBTEX
@inproceedings{BUT25112,
author="Tomáš {Profant} and Oldřich {Ševeček} and Michal {Kotoul},
title="STRESS SINGULARITY AT AN SEMI-INFINITE CRACK PERPENDICULAR TO THE INTERFACE BETWEEN TWO ORTHOTROPIC MATERIALS",
booktitle="Dynamika tuhých a deformovatelných těles 2006",
year="2006",
month="January",
pages="175--182",
publisher="Univerzita J.E. Purkyně",
address="Ústí nad Labmem",
isbn="80-7044-782-6"
}