Determination of the Elastic Fields of Eliptic Inhomogeneities and Inclusions in Anti-Plane Couple Stress Elasticity Using RKPM

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Tahaei Yaghoubi, Saba | 2012

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Type of Document: M.Sc. Thesis
Language: English
Document No: 41516 (53)
University: Sharif University of Technology, International Campus, Kish Island
Department: Science and Engineering
Advisor(s): Mohammadi Shodja,Hossain
Abstract:
In this research, circular and elliptic inhomogeneities are modeled using a numerical meshless method named RKPM. A newly developed accurate and simple method called augmented corrected collocation method, which was previously applied in order to model material discontinuities in the framework of classical continuum theory, is used in combination with the penalty method, considering couple stress elasticity and in micro or nano scales for the first time, where the classical continuum theory has certain shortcomings in predicting the behavior of materials. Simulating nano-composites subjected to anti-plane stresses and comparing the analytical and numerical results show that the augmented corrected collocation method works accurately in the framework of couple stress elasticity and can be applied practically for the treatment of material discontinuities in ultra small scales.
Keywords:
Materials Discontinuity ; Anti-Plane Problem ; Reproducing Kernel Particle Method (RKPM) ; Augmented Corrected Collocation Method

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