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Inhomogeneous deformation of a cone of Neo-Hookean material
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2001 Thesis H375.pdf (1.306Mb)
Date
2001
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In this work we investigate, the nonlinear, elastic deformation of a cone made of a Neo-Hookean material. We use a semi-inverse method and assume a specific form of the displacement and the corresponding structure of the pressure field inside the cone. The pressure field has a logarithmic term in it. In the absence of the logarithmic term the deformation was found to be homogeneous, inhomogeneous deformation being possible when the logarithmic term is present in the pressure field. Also the effect of the semi-vertex angle of the cone on the final deformed shape is studied. Non-unidirectional deformations are found to be possible for certain values of the semi-vertex angle of the cone, reminiscent of the analogous problems in fluid mechanics.
URI
http://hdl.handle.net/1969.1/ETD-TAMU-2001-THESIS-H375
Description
Due to the character of the original source materials and the nature of batch digitization, quality control issues may be present in this document. Please report any quality issues you encounter to digital@library.tamu.edu, referencing the URI of the item.
Includes bibliographical references (leaves 47-51).
Issued also on microfiche from Lange Micrographics.
Subject
mechanical engineering.
Major mechanical engineering.
Collections
- Digitized Theses and Dissertations (1922–2004) [16697]
Citation
(2001). Inhomogeneous deformation of a cone of Neo-Hookean material. Master’s thesis, Texas A&M University. Available electronically from http : / /hdl .handle .net /1969 .1 /ETD -TAMU -2001 -THESIS -H375.