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Non‐oscillatory and non‐singular asymptotic solutions to stress fields at interface cracks
Author(s) -
Lei W.S.
Publication year - 2017
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/ffe.12624
Subject(s) - gravitational singularity , stress field , stress (linguistics) , interface (matter) , singularity , homogeneous , fracture (geology) , asymptotic analysis , materials science , tension (geology) , matrix (chemical analysis) , mathematical analysis , mechanics , shear (geology) , mathematics , structural engineering , physics , engineering , finite element method , composite material , statistical physics , compression (physics) , linguistics , philosophy , bubble , maximum bubble pressure method
This work concerns the complex oscillatory singularities revealed in Williams's asymptotic solutions to stress fields around arbitrary interface cracks, which are the foundation of phenomenological interface fracture mechanics. First, we highlight the fatal discrepancy between the asymptotic stress fields for cracks in a homogeneous material obtained by assigning an identical material on both regions embracing an interface crack, and the solutions directly derived from cracks in a single material. Next, following a brief introduction to Williams's formulation process, we adopt the method of repeatedly eliminating variables instead of solving the determinant equation for the coefficient matrix to reformulate the asymptotic analysis of stress fields at arbitrary interface cracks. The resultant stresses get rid of oscillatory character. Further, under two specific loading conditions, namely, remotely uniaxial tension or shear, non‐oscillatory and non‐singular asymptotic solutions to stress fields around interface cracks are obtained.