Publication detail

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

PROFANT, T. ŠEVEČEK, O. KOTOUL, M.

Original Title

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

English Title

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

Type

conference paper

Language

Czech

Original Abstract

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.

English abstract

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.

Key words in English

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

Authors

PROFANT, T.; ŠEVEČEK, O.; KOTOUL, M.

RIV year

2006

Released

2. 1. 2006

Publisher

Academy of Sciences of the Czech Republic, Prague

Location

Svratka

ISBN

80-86246-27-2

Book

Engineering Mechanics 2006

Edition

první

Edition number

NEUVEDENO

Pages from

304

Pages to

305

Pages count

2

BibTex

@inproceedings{BUT25083,
  author="Tomáš {Profant} and Ondřej {Ševeček} and Michal {Kotoul}",
  title="Stress field analisys near the semi-infinite crack tip terminating to the interface between two orthotropic materials",
  booktitle="Engineering Mechanics 2006",
  year="2006",
  series="první",
  pages="304--305",
  publisher="Academy of Sciences of the Czech Republic, Prague",
  address="Svratka",
  isbn="80-86246-27-2"
}