Global bifurcation of anti-plane shear fronts
| Autor: | Chen, Robin Ming, Walsh, Samuel, Wheeler, Miles H. |
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| Rok vydání: | 2020 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s00332-021-09684-7 |
| Popis: | We consider anti-plane shear deformations of an incompressible elastic solid whose reference configuration is an infinite cylinder with a cross section that is unbounded in one direction. For a class of generalized neo-Hookean strain energy densities and live body forces, we construct unbounded curves of front-type solutions using global bifurcation theory. Some of these curves contain solutions with deformations of arbitrarily large magnitude. Comment: 21 pages, 2 figures |
| Databáze: | arXiv |
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