The Response of Transversely Isotropic Half-Space Stiened by a Surface Thick Plate

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Kaveh, Mohammad | 2017

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Type of Document: M.Sc. Thesis
Language: English
Document No: 50613 (53)
University: Sharif University of Technology, International Campus, Kish Island
Department: Science and Engineering
Advisor(s): Eskandari, Morteza
Abstract:
In this study the axisymmetric and asymmetric problem of interaction between a transversely isotropic half-space and various rst order shear deformation plate theories including Mindlin, Reissner and Vasil'ev are addressed. In order to improve the accuracy of solution, the surface boundary conditions of the half-space are modied.Moreover, the results compared with the exact solution and the most appropriate result is identied. The displacement Green's functions are obtained for both cases, modied and unmodied boundary conditions which can be expressed in a closed form and a numerically evaluated part. The latter is calculated exploiting Built-in numerical interrelation function of Mathematica program. At the end, the limiting cases of covering Kirchhoff thin plate and isotropic half-space are discussed and the results are veried with existing works
Keywords:
Thick Plates ; Transversely Isotropic ; Mindlin Theory ; Kirchhoff Rectangular Plate ; Green Function ; Modified Boundary Conditions ; Boundary Conditions

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