Numerical method for stress fields calculation in dissimilar elastic material with initial crack in axially symmetrical geometry

M. Michaeli, F. Assous, A. Golubchik

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This work deals with the crack problem simulation in dissimilar material. We propose a new numerical approach, based on a modified Nitsche's variational formulation, to handle the interface conditions in the Navier-Lame equations between two or more axially symmetrical sub domains, characterized by different material constants. This gives a numerical method easy to implement, that is able to solve problems in domains with cracks, where the stress fields tend to infinity. We present the variational formulation which provides the solution in terms of displacements field in the case of a crack existence for axisymmetric plate domain O made of several different layers characterized by different material properties.

Original languageEnglish
Title of host publication11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013
Pages2134-2137
Number of pages4
DOIs
StatePublished - 2013
Externally publishedYes
Event11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013 - Rhodes, Greece
Duration: 21 Sep 201327 Sep 2013

Publication series

NameAIP Conference Proceedings
Volume1558
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013
Country/TerritoryGreece
CityRhodes
Period21/09/1327/09/13

Keywords

  • Continuous finite element methods
  • Fracture mechanics
  • Nitsches method
  • crack tip
  • stress fields
  • stress intensity factor

Fingerprint

Dive into the research topics of 'Numerical method for stress fields calculation in dissimilar elastic material with initial crack in axially symmetrical geometry'. Together they form a unique fingerprint.

Cite this