ANALÝZA SINGULARITY NAPĚTÍ U TRHLIN NA ROZHRANÍ DVOU ORTOTROPNÍCH MATERIÁLŮ

Stress analysys of the crack tip terminating to the interface of the orthotropic bimaterial

conference paper

Czech

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

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

orthotropic, bimaterial, stress singularity, crack

PROFANT, T.; ŠEVEČEK, O.; KOTOUL, M.

2006

2. 1. 2006

University of West Bohemia in Pilsen

Hrad Nečtiny

80-7043-477-5

Computational Mechanics

483

490

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