Hypersingular integral equations for the solution of penny-shaped interface crack problems

Bahattin Kilic, Erdogan Madenci

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Based on the theory of elasticity, previous analytical solutions concerning a penny-shaped interface crack employ the derivative of the crack surface opening displacements as the primary unknowns, thus leading to singular integral equations with Cauchy-type singularity. The solutions to the resulting integral equations permit only the determination of stress intensity factors and energy release rate, and do not directly provide crack opening and sliding displacements. However, the crack opening and sliding displacements are physically more meaningful and readily validated against the finite element analysis predictions and experimental measurements. Therefore, the present study employs crack opening and sliding as primary unknowns, rather than their derivatives, and the resulting integral equations include logarithmic-, Cauchy-, and Hadamard-type singularities. The solution to these singular integral equations permits the determination of not only the complex stress intensity factors but also the crack opening displacements.

Original languageEnglish (US)
Pages (from-to)729-752
Number of pages24
JournalJournal of Mechanics of Materials and Structures
Volume2
Issue number4
StatePublished - Apr 2007

Fingerprint

Interface Crack
Hypersingular Integral Equation
Integral equations
Crack
Cracks
Singular Integral Equation
Stress Intensity Factor
Cauchy
Integral Equations
Singularity
Stress intensity factors
Derivative
Unknown
Energy Release Rate
Surface Crack
Derivatives
Elasticity
Analytical Solution
Logarithmic
Energy release rate

Keywords

  • Crack
  • Hypersingular
  • Interface
  • Penny-shaped

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials

Cite this

Hypersingular integral equations for the solution of penny-shaped interface crack problems. / Kilic, Bahattin; Madenci, Erdogan.

In: Journal of Mechanics of Materials and Structures, Vol. 2, No. 4, 04.2007, p. 729-752.

Research output: Contribution to journalArticle

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