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

Jalil P. Vafa; Shahriar J. Fariborz

doi:10.4028/www.scientific.net/SSP.258.182

Paper Titles

Fan-Hinged Shear as a Unique Mechanism of Dynamic Shear Ruptures
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Multi-Parameter Based Stress Distribution in Vicinity of Sharp Material Inclusion Tip
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The Effect of Residual Stress on the Process of Crack Growth Rate Determination in Polymer Pipes
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Study of Influence of Residual Stresses on Crack Propagation in Particulate Ceramic Composites
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Analysis of Micro-Cracks Using Modified Couple-Stress Elasticity under Anti-Plane Deformation
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Prediction of the Traction Separation Law of Ceramics Using Iterative Finite Element Modelling
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Influence of Particle Attributes on Residual Stresses in Particulate Ceramic Composites
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Model of the Damaged Medium for the Assessment of Resource Characteristics of Structural Alloys for Degradation Mechanisms that Combine Fatigue and Creep of Material
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Modeling of Deformation and Failure of Heat-Resistant Alloys under Cyclic Thermal-Mechanical Loading
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Analysis of Micro-Cracks Using Modified Couple-Stress Elasticity under Anti-Plane Deformation

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.