Publication detail

Validity of the Finite Fracture Mechanics based Asymptotic Analysis for Predictions of Crack Deflection in Thin Layers of Ceramic Laminates

ŠEVEČEK, O. LEGUILLON, D. PROFANT, T. KOTOUL, M.

Original Title

Validity of the Finite Fracture Mechanics based Asymptotic Analysis for Predictions of Crack Deflection in Thin Layers of Ceramic Laminates

Type

conference paper

Language

English

Original Abstract

The work studies and compares different approaches suitable for predictions of the crack deflection (bifurcation) in ceramic laminates containing thin layers under high residual stresses and discuss a suitability and limits of using of the asymptotic analysis for such problems. The thickness of the thin compressive layers where the crack deflection occurs is only one order higher than the crack extension lengths considered within the solution. A purely FEM based calculation of the energy and stress conditions, necessary for the crack propagation, serves as the reference solution to the problem. The asymptotic analysis is used after for calculations of the same quantities (especially of energy release rate – ERR). This concept enables semi-analytical calculations of ERR or changes in potential energy induced by the crack extensions of different lengths and directions. Such approach can save a large amount of simulations and time compared with the pure FEM based calculations. It was found that the asymptotic analysis provides a good agreement for investigations of the crack increments enough far from the adjacent interfaces but for longer extensions (of length above 1/5-1/10 of the distance from the interface) starts more significantly to deviate from the correct solution. Involvement of the higher order terms in the asymptotic solution or other improvement of the model is thus advisable.

Keywords

Asymptotic analysis, FEM, residual stresses, T-stress, crack propagation

Authors

ŠEVEČEK, O.; LEGUILLON, D.; PROFANT, T.; KOTOUL, M.

RIV year

2015

Released

5. 1. 2015

Publisher

Trans Tech Publications

Location

Švýcarsko

ISBN

978-3-03835-235-8

Book

Advances in Fracture and Damage Mechanics XIII

Edition number

1

ISBN

1013-9826

Periodical

Key Engineering Materials (print)

Year of study

627

Number

1

State

Swiss Confederation

Pages from

237

Pages to

240

Pages count

4

BibTex

@inproceedings{BUT111209,
  author="Oldřich {Ševeček} and Dominique {Leguillon} and Tomáš {Profant} and Michal {Kotoul}",
  title="Validity of the Finite Fracture Mechanics based Asymptotic Analysis for Predictions of Crack Deflection in Thin Layers of Ceramic Laminates",
  booktitle="Advances in Fracture and Damage Mechanics XIII",
  year="2015",
  journal="Key Engineering Materials (print)",
  volume="627",
  number="1",
  pages="237--240",
  publisher="Trans Tech Publications",
  address="Švýcarsko",
  doi="10.4028/www.scientific.net/KEM.627.237",
  isbn="978-3-03835-235-8",
  issn="1013-9826"
}