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Researcher: Varun Kumar
Guide(s): Dr. Ranjit Singh/Dr. Sanjay Mishra
University: Lovely Professional University
Completed Date: 07-05-2016
Abstract: The theory of the elasticity undoubtedly can be regarded as one of the most important newlinebranch of solid mechanics which deals with the stresses and deformations produced in newlineelastic media under the action of external forces or due to temperature gradients. Hooke s newlinelaw forms the core of entire theory of elasticity. But its failure to explain response of newlinematerials like polymers, fibrous materials, coarse grains or any material in which its newlinemicrostructure plays important role, lead many researchers to focus on new theory which newlinecan remain consistent with experimental observations. Breakthrough achievement in this newlineregard can be considered as development of micropolar theory of elasticity. Micropolar newlinetheory assumes materials to be made up of small dumb-well like interconnected newlinemolecules, which can undergo rotational motion independently in addition to translational newlinemotion. Later on, this theory was extended to include thermal and electromagnetic effects newlineto explain the elastic response of material subjected to thermal or magnetic source. This newlinethesis comprises of five chapters containing the detailed analysis of elastic media newlinesubjected to different sources. Response of homogenous isotropic media placed in newlinemagnetic field and subjected to thermal and mechanical sources has been investigated in newlinethis study. Integral transformations have been applied to simplify system of partial newlinedifferential equations. Use of numerical inversion technique has been done to obtain the newlinesolution in physical domain from frequency domain. Graphical analysis has been done at newlinethe end of each chapter to explain the outcome of study. First chapter contains brief newlinedevelopments in the theory of elasticity. Starting from Galileo s study to two major newlinebreakthroughs in the history of elasticity namely; Hooke s law and Navier s general equations and then recent developments in this field. It acknowledges the contribution of newlinemodern elasticians like Eringen and Nowacki. Second chapter contains solution of an axisymmetric newlineproblem in infinite space using Laplace and
Appears in Departments:Department of Mathematics

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02_declaration.pdf21.18 kBAdobe PDFView/Open
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06_acknowledgement.pdf397.84 kBAdobe PDFView/Open
07_table of contents.pdf27.69 kBAdobe PDFView/Open
08_table of figures.pdf349.51 kBAdobe PDFView/Open
09_nomenclature.pdf213.8 kBAdobe PDFView/Open
10_chap-1.pdf744.52 kBAdobe PDFView/Open
11_chap-2.pdf1.94 MBAdobe PDFView/Open
12_chap-3.pdf1.74 MBAdobe PDFView/Open
13_chap-4.pdf2.05 MBAdobe PDFView/Open
14_chap-5.pdf2.17 MBAdobe PDFView/Open
15_bilbliography.pdf3.17 MBAdobe PDFView/Open
16_publications.pdf859.7 kBAdobe PDFView/Open

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