Utzinger, J., Menzel, A., Steinmann, P. and Benallal, A. (2008) Aspects of bifurcation in an isotropic elastic continuum with orthotropic inelastic interface. European Journal of Mechanics - A/Solids, 27(4), pp. 532-547. (doi: 10.1016/j.euromechsol.2007.11.001)
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Abstract
This manuscript investigates possible bifurcations into stationary wave-type solutions in situations where an isotropic elastic bulk is bonded by a non-coherent orthotropic interface to a rigid substrate. The interface is characterised by a traction–separation-law capturing elastic and inelastic material behaviour. Based on an ansatz for stationary waves at the surface of the bulk being connected to the interface, a bifurcation condition is elaborated. Thereby, the orthotropy of the interface is taken into account by considering the fully three-dimensional elastic half space and allowing for arbitrary orientations of the stationary wave-type solutions with respect to the interface co-ordinate system. The bifurcation condition is studied under the assumption of prevailing ellipticity in the bulk for a number of different examples. The results are graphically explored.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Steinmann, Professor Paul |
| Authors: | Utzinger, J., Menzel, A., Steinmann, P., and Benallal, A. |
| College/School: | College of Science and Engineering > School of Engineering > Infrastructure and Environment |
| Journal Name: | European Journal of Mechanics - A/Solids |
| Publisher: | Elsevier |
| ISSN: | 0997-7538 |
| ISSN (Online): | 1873-7285 |
| Published Online: | 29 November 2007 |
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