Elastic Analysis of a Functionally Graded Solid with Quadratic Variation under Various Types of Loading

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Ahmadi, Mahsa | 2017

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Type of Document: M.Sc. Thesis
Language: English
Document No: 51076 (53)
University: Sharif University of Technology, International Campus, Kish Island
Department: Science and Engineering
Advisor(s): Eskandari, Morteza
Abstract:
In this study, elastic analysis of a functionally graded full-space with quadratic variations under various types of loading is addressed. The elastic responses of the medium are obtained in closed-form under various types of loading including point load, concentrated moment, distributed patch load of rectangular and circular shape, normal ring load, and concentrated torsion. The displacement fields are derived by virtue of the appropriate Green’s functions corresponding to the FGMs with a quadratic variation of elastic moduli and constant poisons ratio of = 0.25 .For the special case of homogeneous medium, the results are verified with available solutions. Furthermore, effects of degree of inhomogeneity and load type on results are highlighted
Keywords:
Elastic Response ; Functionally Graded Materials (FGM) ; Static Loading ; Heterogeneous Media ; Quadratic Variation

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