Complex Variable Green’s Functions for Crack-Microcracks Interactions

M. Chabaat; H. Ayas

doi:10.4028/www.scientific.net/KEM.465.123

Paper Titles

Elastic-Plastic Stress Singularities of Plane V-Notches in Power-Hardening Materials
p.105

Micro- and Macro-Scale Thermomechanical Modelling of Bulk Deformation in Early-Age Cement-Based Materials
p.111

3D Discrete Dislocation Modelling of High Temperature Plasticity
p.115

Numerical Study of the Influence of the Crack Front Curvature in the Evolution of the Plastic Zone along the CT Specimen Thickness
p.119

Complex Variable Green’s Functions for Crack-Microcracks Interactions
p.123

Numerical Modeling of Macroscopic Behavior of Particulate Composite with Crosslinked Polymer Matrix
p.129

On Mathematical Modelling of the Diffusion Characteristics in the close Vicinity of Two Steels Welded Joint
p.133

Design of Experiments in the Branch of Thermal Spraying
p.137

The Simulation and Modelling of the Crack Path of Biomaterials
p.141

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Complex Variable Green’s Functions for Crack-Microcracks Interactions

Abstract:

In this study, interaction between a main crack and a surrounding layer of micro cracks is considered. A stress field distribution induced during these interactions is obtained using Muskhelshvili’s complex variables formalism which relies on the Green's functions. The effect of amplification and shielding on the resulting stress field is shown, herein, through a study of mode I Stress Intensity Factor (SIF). To quantify these effects, orientations as well as positions of microcracks with respect to the main crack is taken into consideration. Obtained results are compared and agreed with those of other researchers.