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dc.contributor.advisor Carroll, Michael M.
dc.creatorErdemir Ungor, Esen
dc.date.accessioned 2011-07-25T02:05:04Z
dc.date.available 2011-07-25T02:05:04Z
dc.date.issued 2010
dc.identifier.urihttps://hdl.handle.net/1911/61996
dc.description.abstract The primary purpose of this study is to identify solutions for deformations and motions in compressible non-linear elasticity. The research study mainly focuses on the mathematical theory of deformations and motions of non-linearly elastic compressible hollow spheres and hollow cylinders reinforced with inextensible fibers in the radial direction. Static and dynamic solutions for both unstressed and everted cases are presented for the hollow spheres and hollow cylinders of isotropic elastic materials that are radially inextensible. Different strain energy density functions are then applied for further demonstration to the extent allowed by the analytical approach. This thesis is concerned with the mathematical theory of non-linear elasticity and no discussion of shell or membrane theories, or of numerical methods is included. The setting is purely isothermal and no reference is made to thermodynamics. Attention is confined to twice-continuously differentiable deformations; discontinuities are not considered.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.subjectMechanical engineering
dc.title Deformations and motions in compressible non-linear elasticity
dc.type.genre Thesis
dc.type.material Text
thesis.degree.department Mechanical Engineering
thesis.degree.discipline Engineering
thesis.degree.grantor Rice University
thesis.degree.level Doctoral
thesis.degree.name Doctor of Philosophy
dc.identifier.citation Erdemir Ungor, Esen. "Deformations and motions in compressible non-linear elasticity." (2010) Diss., Rice University. https://hdl.handle.net/1911/61996.


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