Publication result detail

CONDITIONS FOR CRACK INITIATION IN AN ORTHOTROPIC BI-MATERIAL CORNER DETERMINED BY MEANS OF THE STRAIN ENERGY DENSITY FACTOR

PROFANT, T.; KLUSÁK, J.; KOTOUL, M.

Original Title

CONDITIONS FOR CRACK INITIATION IN AN ORTHOTROPIC BI-MATERIAL CORNER DETERMINED BY MEANS OF THE STRAIN ENERGY DENSITY FACTOR

English Title

CONDITIONS FOR CRACK INITIATION IN AN ORTHOTROPIC BI-MATERIAL CORNER DETERMINED BY MEANS OF THE STRAIN ENERGY DENSITY FACTOR

Type

Paper in proceedings (conference paper)

Original Abstract

A bi-material notch composed of two orthotropic parts is considered. The stress components and the strain energy density are expressed using the Stroh-Eshelby-Lekhnitskii formalism for plane elasticity. The stress singular exponents and corresponding eigenvectors are the solution of the eigenvalue problem leading from the prescribed notch boundary and compatibility conditions. Generally, there is more than one solution of this eigenvalue problem and consequently the stress intensity factors. The potential direction of crack initiation is determined from the local minimum of the mean value of the strain energy density factor in both materials. Following the assumption of the same mechanism of the rupture in the case of the crack and the notch, an expression for the critical values of the stress intensity factor can be obtained.

English abstract

A bi-material notch composed of two orthotropic parts is considered. The stress components and the strain energy density are expressed using the Stroh-Eshelby-Lekhnitskii formalism for plane elasticity. The stress singular exponents and corresponding eigenvectors are the solution of the eigenvalue problem leading from the prescribed notch boundary and compatibility conditions. Generally, there is more than one solution of this eigenvalue problem and consequently the stress intensity factors. The potential direction of crack initiation is determined from the local minimum of the mean value of the strain energy density factor in both materials. Following the assumption of the same mechanism of the rupture in the case of the crack and the notch, an expression for the critical values of the stress intensity factor can be obtained.

Keywords

Orthotropic bi-material notch, composite materials, strain energy density factor, stability criterion

Key words in English

Orthotropic bi-material notch, composite materials, strain energy density factor, stability criterion

Authors

PROFANT, T.; KLUSÁK, J.; KOTOUL, M.

RIV year

2012

Released

21.06.2010

Publisher

National Taiwan University of Science and Technology

Location

Taipei

ISBN

978-986-02-3909-6

Book

Multiscaling of Synthetic and Natural Systems with Self-Adaptive Capability

Pages from

149

Pages to

152

Pages count

4

BibTex

@inproceedings{BUT35323,
  author="Tomáš {Profant} and Jan {Klusák} and Michal {Kotoul}",
  title="CONDITIONS FOR CRACK INITIATION IN AN ORTHOTROPIC BI-MATERIAL CORNER DETERMINED BY MEANS OF THE STRAIN ENERGY DENSITY FACTOR",
  booktitle="Multiscaling of Synthetic and Natural Systems with Self-Adaptive Capability",
  year="2010",
  pages="149--152",
  publisher="National Taiwan University of Science and Technology",
  address="Taipei",
  isbn="978-986-02-3909-6"
}