Publication detail

Stress distribution and fracture parameters of orthotropic bi-material notches determination

KREPL, O. KLUSÁK, J. PROFANT, T. HRSTKA, M.

Original Title

Type

abstract

Language

English

Original Abstract

A bi-material notch composed of two orthotropic parts leads to stress singularity different from the single material notch case. The stress field around a bi-material notch inherently covers combined normal and shear modes of loading. Theory of anisotropic elasticity - the Lekhnitskii-Eshelby-Stroh formalism is employed as an elegant method to express the stress and displacement fields. The stress distribution at the notch tip is characterised by exponents of singular terms and general stress intensity factors. The exponents of singularity and corresponding eigenvectors are solution of the eigenvalue problem resulting from the prescribed boundary conditions. The generalised stress intensity factors are calculated by usage of the two state conservation integrals so called Psi-integrals. Based on knowledge of these parameters the minimum value of mean strain energy density factor to predict crack initiation direction is obtained. Then the critical value of generalised stress intensity factor corresponding to the direction of assumed crack initiation is used to establish stability criterion.

Keywords

Linear elastic fracture mechanics, bi-material notch, Lekhnitskii-Eshelby-Stroh formalism, Psi-integral, exponents of singularity

Authors

KREPL, O.; KLUSÁK, J.; PROFANT, T.; HRSTKA, M.

Released

21. 10. 2014

BibTex

@misc{BUT113839,
  author="Ondřej {Krepl} and Jan {Klusák} and Tomáš {Profant} and Miroslav {Hrstka}",
  title="Stress distribution and fracture parameters of orthotropic bi-material notches determination",
  year="2014",
  note="abstract"
}