Boundary collocation method for multiple defect interactions in an anisotropic finite region

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The modified mapping collocation method is extended for the solution of plane problems of anisotropic elasticity in the presence of multiple defects in the form of holes, cracks, and inclusions under general loading conditions. The approach is applied to examine the stress and strain fields in an anisotropic finite region including an elliptical and a circular hole, an elliptical flexible inclusion, and a line crack. It can be readily incorporated into micro-mechanics modes, capturing the relative importance of the matrix, the fiber/matrix interface, and reinforcement geometry and arrangement while estimating the effective elastic properties of composite materials. The accuracy and robustness of this method is established through comparison with results obtained from finite element analysis.

Original languageEnglish (US)
Pages (from-to)339-355
Number of pages17
JournalInternational Journal of Fracture
Volume94
Issue number4
StatePublished - 1998

Fingerprint

Collocation Method
Crack
Defects
Inclusion
Anisotropic Elasticity
Cracks
Micromechanics
Effective Properties
Plane Problem
Elastic Properties
Reinforcement
Composite Materials
Interaction
Elasticity
Arrangement
Fiber
Finite Element
Robustness
Finite element method
Geometry

Keywords

  • Anisotropy
  • Defect
  • Interaction
  • Multiple

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials

Cite this

Boundary collocation method for multiple defect interactions in an anisotropic finite region. / Madenci, Erdogan; Sergeev, B.; Shkarayev, Sergey V.

In: International Journal of Fracture, Vol. 94, No. 4, 1998, p. 339-355.

Research output: Contribution to journalArticle

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