Analysis of Micro-Cracks Using Modified Couple-Stress Elasticity under Anti-Plane Deformation

Publisher: Trans Tech Publications

E-ISSN: 1662-9779|2016|258|182-185

ISSN: 1012-0394

Source: Solid State Phenomena, Vol.2016, Iss.258, 2017-01, pp. : 182-185

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Abstract

Based on the modified couple stress theory the solution to a screw dislocation is obtained, in an isotropic elastic plane, via Fourier integral transform method. The asymptotic analysis of displacement field at the tip of a stationary crack reveals that stress field is not singular. A crack under anti-plane deformation is modeled by the distribution of screw dislocations. The ensuing integral equations are solved numerically to determine the density of dislocation on a crack surface. The dislocation solution is used to study the interaction between two parallel non-collinear micro-cracks.