Stress field analisys near the semi-infinite crack tip terminating to the interface between two orthotropic materials

Stress field analisys near the semi-infinite crack tip terminating to the interface between two orthotropic materials

článek ve sborníku ve WoS nebo Scopus

cs

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.

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.

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.

Psi integral, Semi-infinite Crack, Orthotropic material, Interface,singularity exponent

2006

02.01.2006

Academy of Sciences of the Czech Republic, Prague

Svratka

80-86246-27-2

Engineering Mechanics 2006

NEUVEDENO

304–305

2