Použití explicitní L.E.S. metody pro řešení singulárního problému trhliny ležící na rozhraní dvou ortotropních materiálů

Použití explicitní L.E.S. metody pro řešení singulárního problému trhliny ležící na rozhraní dvou ortotropních materiálů

konferenční sborník (ne článek)

cs

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.

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.

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.

L.E.S. nethod, crack, bimaterial interface, FEM

L.E.S. nethod, crack, bimaterial interface, FEM

03.12.2010

VUT v Brně

Brno

978-80-87434-02-4

85–103

18