Aspects of bifurcation in an isotropic elastic continuum with orthotropic inelastic interface

Summary, in English

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 tractionseparation-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.

• Author: J Utzinger; Andreas Menzel; P Steinmann
• Department/s: Solid Mechanics
• Publishing year: 2008
• Language: English
• Pages: 532-547
• Publication/Series: European Journal of Mechanics. A, Solids
• Volume: 27
• Issue: 4
• Links: http://dx.doi.org/10.1016/j.euromechsol.2007.11.001
• Document type: Journal article
• Publisher: Elsevier
• Topic: Mechanical Engineering
• Status: Published
• ISBN/ISSN/Other: ISSN: 1873-7285