Modeling Material Discontinuities Via An Augmented RKPM and Performance of GRKPM in Fracture Mechanics

Please enable javascript in your browser.

Khezri, Mani | 2009

1225 Viewed

Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 39633 (09)
University: Sharif University of Technology
Department: Civil Engineering
Advisor(s): Mohammadi Shodja, Hossein
Abstract:
During the past decade, element free methods have achieved great successes. One of these methods is the so called RKPM which has a suitable structure for use in fracture mechanics problems. Despite all characteristic abilities of element free methods; these methods due to their higher order continuous differentiable approximations fail to model discontinuous material properties of the subjected domains. In this study by improving the collocation method in RKPM treatment of such conditions have been achieved. Also in this study performance of a new meshfree method in fracture mechanics problems has been analyzed. GRKPM is one of these methods which its suitable accuracy and convergence has been proved in some problems. In this research this method for the first time has been used for solving some benchmark problems of fracture mechanics such as determination of stress intensity factors near crack tips and its performance and results have been analyzed
Keywords:
Crack ; Stress Intensity Factor ; Reproducing Kernel Particle Method (RKPM) ; Element Free Galerkin Method (EFGM) ; Fracture Mechanics ; Materials Discontinuity ; Gradient Reproducing Kernel Particle Method