An iterative BEM for the dynamic analysis of interface crack contact problems

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Abstract

The multiparametric algorithm for solving a fracture dynamics problem is presented in the paper. The linear crack between two dissimilar elastic isotropic half-spaces under normal tension-compression load is considered. The system of boundary integral equations for displacements and tractions is derived from the dynamic Somigliana identity. The crack closure is taken into account by imposing the constraints to the normal components of contact force and displacement discontinuity vectors. The convergence of the algorithm is investigated in detail. The study of the effect of frequency of the loading on the stress intensity factors for opening and transverse shear modes is carried out.

Original languageEnglish
Pages (from-to)735-749
Number of pages15
JournalEngineering Analysis with Boundary Elements
Volume35
Issue number5
Early online date26 Jan 2011
DOIs
Publication statusPublished - May 2011

Fingerprint

Interface Crack
Contact Problem
Dynamic Analysis
Dynamic analysis
Displacement Discontinuity
Crack Closure
Cracks
Crack closure
Boundary integral equations
Contact Force
Dynamic Problem
Boundary Integral Equations
Stress Intensity Factor
Stress intensity factors
Half-space
Crack
Transverse
Compression

Keywords

  • Fracture dynamics
  • Boundary integral equations
  • Interface crack
  • Contact interaction

Cite this

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title = "An iterative BEM for the dynamic analysis of interface crack contact problems",
abstract = "The multiparametric algorithm for solving a fracture dynamics problem is presented in the paper. The linear crack between two dissimilar elastic isotropic half-spaces under normal tension-compression load is considered. The system of boundary integral equations for displacements and tractions is derived from the dynamic Somigliana identity. The crack closure is taken into account by imposing the constraints to the normal components of contact force and displacement discontinuity vectors. The convergence of the algorithm is investigated in detail. The study of the effect of frequency of the loading on the stress intensity factors for opening and transverse shear modes is carried out.",
keywords = "Fracture dynamics, Boundary integral equations, Interface crack, Contact interaction",
author = "Maryna Menshykova and Oleksandr Menshykov and Igor Guz",
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AU - Menshykova, Maryna

AU - Menshykov, Oleksandr

AU - Guz, Igor

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N2 - The multiparametric algorithm for solving a fracture dynamics problem is presented in the paper. The linear crack between two dissimilar elastic isotropic half-spaces under normal tension-compression load is considered. The system of boundary integral equations for displacements and tractions is derived from the dynamic Somigliana identity. The crack closure is taken into account by imposing the constraints to the normal components of contact force and displacement discontinuity vectors. The convergence of the algorithm is investigated in detail. The study of the effect of frequency of the loading on the stress intensity factors for opening and transverse shear modes is carried out.

AB - The multiparametric algorithm for solving a fracture dynamics problem is presented in the paper. The linear crack between two dissimilar elastic isotropic half-spaces under normal tension-compression load is considered. The system of boundary integral equations for displacements and tractions is derived from the dynamic Somigliana identity. The crack closure is taken into account by imposing the constraints to the normal components of contact force and displacement discontinuity vectors. The convergence of the algorithm is investigated in detail. The study of the effect of frequency of the loading on the stress intensity factors for opening and transverse shear modes is carried out.

KW - Fracture dynamics

KW - Boundary integral equations

KW - Interface crack

KW - Contact interaction

U2 - 10.1016/j.enganabound.2010.12.005

DO - 10.1016/j.enganabound.2010.12.005

M3 - Article

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JO - Engineering Analysis with Boundary Elements

JF - Engineering Analysis with Boundary Elements

SN - 0955-7997

IS - 5

ER -