Publication detail
Stress analysys of the crack tip terminating to the interface of the orthotropic bimaterial
PROFANT, T. ŠEVEČEK, O. KOTOUL, M.
Czech title
ANALÝZA SINGULARITY NAPĚTÍ U TRHLIN NA ROZHRANÍ DVOU ORTOTROPNÍCH MATERIÁLŮ
English title
Stress analysys of the crack tip terminating to the interface of the orthotropic bimaterial
Type
conference paper
Language
cs
Original abstract
The contribution deals with a calculation of the stress and displacement field near the semi-infinite crack tip terminating perpendicular to the interface between two orthotropic materials. Using an anisotropic complex method, the present analysis gives singularity exponents and as the solution of an eigenvalue problem and as the root of some nonlinear equation. 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. While the is associated to the singular solution of the semi-infinite crack problem, the is associated to the auxiliary solution. The auxiliary solution features stronger singularity and can be used to determination of the generalized intensity factor by the -integral. The knowledge of the exponent allows to solve the integral equation for the dislocation density and consequently to find the T-stress
Czech abstract
The contribution deals with a calculation of the stress and displacement field near the semi-infinite crack tip terminating perpendicular to the interface between two orthotropic materials. Using an anisotropic complex method, the present analysis gives singularity exponents and as the solution of an eigenvalue problem and as the root of some nonlinear equation. 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. While the is associated to the singular solution of the semi-infinite crack problem, the is associated to the auxiliary solution. The auxiliary solution features stronger singularity and can be used to determination of the generalized intensity factor by the -integral. The knowledge of the exponent allows to solve the integral equation for the dislocation density and consequently to find the T-stress
English abstract
The contribution deals with a calculation of the stress and displacement field near the semi-infinite crack tip terminating perpendicular to the interface between two orthotropic materials. Using an anisotropic complex method, the present analysis gives singularity exponents and as the solution of an eigenvalue problem and as the root of some nonlinear equation. 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. While the is associated to the singular solution of the semi-infinite crack problem, the is associated to the auxiliary solution. The auxiliary solution features stronger singularity and can be used to determination of the generalized intensity factor by the -integral. The knowledge of the exponent allows to solve the integral equation for the dislocation density and consequently to find the T-stress
Keywords in English
orthotropic, bimaterial, stress singularity, crack
RIV year
2006
Released
02.01.2006
Publisher
University of West Bohemia in Pilsen
Location
Hrad Nečtiny
ISBN
80-7043-477-5
Book
Computational Mechanics
Pages from–to
483–490
Pages count
8
BIBTEX
@inproceedings{BUT25093,
author="Tomáš {Profant} and Oldřich {Ševeček} and Michal {Kotoul},
title="ANALÝZA SINGULARITY NAPĚTÍ U TRHLIN NA ROZHRANÍ DVOU ORTOTROPNÍCH MATERIÁLŮ",
booktitle="Computational Mechanics",
year="2006",
month="January",
pages="483--490",
publisher="University of West Bohemia in Pilsen",
address="Hrad Nečtiny",
isbn="80-7043-477-5"
}