| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 7174768 | International Journal of Non-Linear Mechanics | 2011 | 5 Pages |
Abstract
⺠A general implicit solution for determining volume-preserving transformations in the n-dimensional Euclidean space is obtained. ⺠For n = 2, it corresponds to the classical definition of a potential stream function in a canonical transformation. ⺠For n = 3, it defines a more general class of isochoric transformations, if compared to existing methods based on multiple potentials. ⺠This representation method is suitable for determining three-dimensional isochoric perturbations in bifurcation theory. ⺠Applications in non-linear elasticity are envisaged for determining complex instability patterns for soft elastic materials.
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Authors
P. Ciarletta,