Numerical Analysis of a Plate Containing Multiple Circular Holes Via RKPM

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Soltani Mohammadi, Siavash | 2010

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Type of Document: M.Sc. Thesis
Language: English
Document No: 40291 (53)
University: Sharif University of Technology, International Campus, Kish Island
Department: Science and Engineering
Advisor(s): Mohammdi Shodja, Hossein
Abstract:
In this thesis, some new models have been solved via RKPM method, which is one of the meshfree methods family. These models have never been solved via meshfree methods and their analytical solutions do not exist. At first, the RKPM shape functions and their first derivative formulation in 1D and 2D have been presented and then by using FORTRAN program, the shape functions and their first derivative have been obtained. To verifying the code some functions have been reproduced. In the next step by using the governing equations and penalty method whose formulation exists in chapter 2; some famous examples in linear elasticity have been solved via RKPM to verify the FORTRAN code. At last; some new models with special features which have never been solved via meshless methods have been considered.
Keywords:
Meshless Method ; Reproducing Kernel Particle Method (RKPM) ; Penalty Constraint ; Shape Function ; Essential Boundry Condition ; New Model With Special Feature

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