Publication detail
Stress field analisys near the semi-infinite crack tip terminating to the interface between two orthotropic materials
PROFANT, T. ŠEVEČEK, O. KOTOUL, M.
Czech title
Stress field analisys near the semi-infinite crack tip terminating to the interface between two orthotropic materials
English title
Stress field analisys near the semi-infinite crack tip terminating to the interface between two orthotropic materials
Type
conference paper
Language
cs
Original abstract
The study of the stress and displacement field near the semi-infinite 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.
Czech abstract
The study of the stress and displacement field near the semi-infinite 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.
English abstract
The study of the stress and displacement field near the semi-infinite 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.
Keywords in English
Psi integral, Semi-infinite Crack, Orthotropic material, Interface,singularity exponent
RIV year
2006
Released
02.01.2006
Publisher
Academy of Sciences of the Czech Republic, Prague
Location
Svratka
ISBN
80-86246-27-2
Book
Engineering Mechanics 2006
Edition number
NEUVEDENO
Pages from–to
304–305
Pages count
2
BIBTEX
@inproceedings{BUT25083,
author="Tomáš {Profant} and Ondřej {Ševeček} and Michal {Kotoul},
title="Stress field analisys near the semi-infinite crack tip terminating to the interface between two orthotropic materials",
booktitle="Engineering Mechanics 2006",
year="2006",
month="January",
pages="304--305",
publisher="Academy of Sciences of the Czech Republic, Prague",
address="Svratka",
isbn="80-86246-27-2"
}