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http://bura.brunel.ac.uk/handle/2438/2284
Title: | On non-uniqueness in the traction boundary- value problem for a compressible elastic solid |
Authors: | Ogden, R W |
Issue Date: | 1983 |
Publisher: | Brunel University |
Citation: | Maths Technical Papers (Brunel University). September 1983 , pp 1-13 |
Abstract: | For a compressible isotropic elastic solid local and global non-uniqueness of the homogeneous deformation resulting from prescribed dead-load boundary tractions is examined. In particular, for the plane-strain problem with equibiaxial in-plane tension, equations governing the paths of deformation branching from the bifurcation point on a deformation path corresponding to in-plane pure dilatation are derived. Explicit calculations are given for a specific strain-energy function and the stability of the branches is discussed. Some general results are then given for an arbitrary form of strain-energy function. |
URI: | http://bura.brunel.ac.uk/handle/2438/2284 |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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TR_07_83.pdf | 158.18 kB | Adobe PDF | View/Open |
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