Determination of the Two-Dimensional Plastic Zone Size and SIF at the Crack Tip Using RKPM<br/>

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Determination of the Two-Dimensional Plastic Zone Size and SIF at the Crack Tip Using RKPM

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 39574 (09)
University: Sharif University of Technology
Department: Civil Engineering
Advisor(s): Mohammadi Shodja, Hossein
Abstract:
It is proposed to obtain the mode I plastic zone size and shape at the crack-tip in a work-hardening material using reproducing kernel particle method (RKPM). RKPM is a meshless technology which has proven very useful for solving problems of fracture mechanics. Ramberg-Osgood stress-strain relation is assumed. In this project the crack-tip stress intensity factor (SIF) before and after formation of the plastic zone will be examined. To impose the essential boundary conditions, penalty method is used. To construct the shape functions in the vicinity of the crack and crack-tip, both the diffraction and visibility methods are employed. The effects of different dilation parameters on SIF under plane stress and plane strain conditions are studied.
Keywords:
Crack ; Plastic Zone ; Meshless Method ; Reproducing Kernel Particle Method (RKPM) ; Stress Intensity Factor ; Crack Tip

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