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Dynamic stress intensity factors due to scattering of harmonic waves by a crack in an infinite medium
Author(s) -
ESLAMI S. H.,
AMINI F.
Publication year - 2008
Publication title -
fatigue and fracture of engineering materials and structures
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.887
H-Index - 84
eISSN - 1460-2695
pISSN - 8756-758X
DOI - 10.1111/j.1460-2695.2008.01281.x
Subject(s) - stress intensity factor , mathematical analysis , harmonic , displacement (psychology) , mathematics , boundary value problem , dynamic stress , mechanics , physics , fracture mechanics , classical mechanics , acoustics , psychotherapist , thermodynamics , psychology , acceleration
An analytical method for calculating dynamic stress intensity factors in the mixed mode (combination of opening and sliding modes) using complex functions theory is presented. The crack is in infinite medium and subjected to the plane harmonic waves. The basis of the method is grounded on solving the two‐dimensional wave equations in the frequency domain and complex plane using mapping technique. In this domain, solution of the resulting partial differential equations is found in the series of the Hankel functions with unknown coefficients. Applying the boundary conditions of the crack, these coefficients are calculated. After solving the wave equations, the stress and displacement fields, also the J ‐integrals are obtained. Finally using the J ‐integrals, dynamic stress intensity factors are calculated. Numerical results including the values of dynamic stress intensity factors for a crack in an infinite medium subjected to the dilatation and shear harmonic waves are presented.