Determination of the Plastic Zone at the Tip of a Crack in Pressure-Sensitive Materials Using RKPM

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Malgard, Afsaneh | 2012

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Type of Document: M.Sc. Thesis
Language: English
Document No: 43590 (53)
University: Sharif University of Technology, International Campus, Kish Island
Department: Science and Engineering
Advisor(s): Mohammadi Shoja, Hossein; Jahanshahi, Mohsen
Abstract:
This project presents an outline of the crack tip stress fields in the presence of a plastic enclave around a growing fatigue crack using RKPM and Drucker-Prager criterion for pressure sensitive materials such as concrete and rock. Two distinguished features of RKPM are the arbitrarily high order smoothness and the interpolation property of the shape function which has kronecker delta property at the associated nodes. This method has proved to handle extreme material deformation and moving discontinuities. For the frictional materials such as rock in geotechnical engineering, a non-associated or associated Drucker- Prager plasticity model is appropriate for modeling its constitutive behavior. It is important, since such stress states frequently occur in critical regions and crack in initiation under such stress condition often acts as a precursor and brittle collapse of concrete structures
Keywords:
Pressure Sensitive Material ; Plasticity ; Crack ; Reproducing Kernel Particle Method (RKPM) ; Drucker-Prager Yield Surface

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