Publication detail
Použití explicitní L.E.S. metody pro řešení singulárního problému trhliny ležící na rozhraní dvou ortotropních materiálů
DAMBORSKÝ, P. PROFANT, T.
Czech title
Použití explicitní L.E.S. metody pro řešení singulárního problému trhliny ležící na rozhraní dvou ortotropních materiálů
English title
Použití explicitní L.E.S. metody pro řešení singulárního problému trhliny ležící na rozhraní dvou ortotropních materiálů
Type
conference proceedings
Language
cs
Original abstract
This article deal with problems of cracks in bodies with bimaterial interface. There is analyzed the stress and displacement near the front semi-infinite crack located at the interface between two orthotropic materials. Description of the singular stress field and displacements is obtained using the anisotropic generalized complex potentials of plane elasticity. The present analysis gives singularity exponent ? and -? as the solution of an eigenvalue problem and as the root of some nonlinear equation. 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.
Czech abstract
This article deal with problems of cracks in bodies with bimaterial interface. There is analyzed the stress and displacement near the front semi-infinite crack located at the interface between two orthotropic materials. Description of the singular stress field and displacements is obtained using the anisotropic generalized complex potentials of plane elasticity. The present analysis gives singularity exponent ? and -? as the solution of an eigenvalue problem and as the root of some nonlinear equation. 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.
English abstract
This article deal with problems of cracks in bodies with bimaterial interface. There is analyzed the stress and displacement near the front semi-infinite crack located at the interface between two orthotropic materials. Description of the singular stress field and displacements is obtained using the anisotropic generalized complex potentials of plane elasticity. The present analysis gives singularity exponent ? and -? as the solution of an eigenvalue problem and as the root of some nonlinear equation. 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.
Keywords in Czech
L.E.S. nethod, crack, bimaterial interface, FEM
Keywords in English
L.E.S. nethod, crack, bimaterial interface, FEM
Released
03.12.2010
Publisher
VUT v Brně
Location
Brno
ISBN
978-80-87434-02-4
Pages from–to
85–103
Pages count
18
BIBTEX
@proceedings{BUT66039,
author="Petr {Damborský} and Tomáš {Profant},
title="Použití explicitní L.E.S. metody pro řešení singulárního problému trhliny ležící na rozhraní dvou ortotropních materiálů",
year="2010",
month="December",
pages="85--103",
publisher="VUT v Brně",
address="Brno",
isbn="978-80-87434-02-4"
}