On accurate numerical evaluation of stress intensity factors and T-stress in functionally graded materials

Jeong Ho Kim, Glaucio Paulino

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper revisits the interaction integral method to evaluate both the mixed-mode stress intensity factors and the T-stress in functionally graded materials under mechanical loading. A nonequilibrium formulation is developed in an equivalent domain integral form, which is naturally suitable to the finite element method. Graded material properties are integrated into the element stiffness matrix using the generalized isoparametric formulation. The type of material gradation considered includes continuum functions, such as an exponential function, but the present formulation can be readily extended to micromechanical models. This paper presents a fracture problem with an inclined center crack in a plate and assesses the accuracy of the present method compared with available semi-analytical solutions.

Original languageEnglish (US)
Title of host publicationFunctionally Graded Materials VIII, FGM2004 - Proceedings of the 8th International Symposium on Multifunctional and Functionally Graded Materials, (FGM2004)
Pages403-408
Number of pages6
StatePublished - Dec 1 2005
Event8th International Symposium on Multifunctional and Functionally Graded Materials, FGM2004 - Leuven, Belgium
Duration: Jul 11 2004Jul 14 2004

Publication series

NameMaterials Science Forum
Volume492-493
ISSN (Print)0255-5476

Other

Other8th International Symposium on Multifunctional and Functionally Graded Materials, FGM2004
CountryBelgium
CityLeuven
Period7/11/047/14/04

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Keywords

  • Finite element method
  • Functionally graded materials
  • Generalized isoparametric formulation
  • Interaction integral method
  • Stress intensity factor
  • T-stress

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Kim, J. H., & Paulino, G. (2005). On accurate numerical evaluation of stress intensity factors and T-stress in functionally graded materials. In Functionally Graded Materials VIII, FGM2004 - Proceedings of the 8th International Symposium on Multifunctional and Functionally Graded Materials, (FGM2004) (pp. 403-408). (Materials Science Forum; Vol. 492-493).