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|Title:||On non-uniqueness in the traction boundary- value problem for a compressible elastic solid|
|Authors:||Ogden, R W|
|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.|
|Appears in Collections:||Dept of Mathematics Research Papers|
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