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

Utzinger, J; Menzel, Andreas LU and Steinmann, P (2008) In European Journal of Mechanics. A, Solids 27(4). p.532-547
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 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... (More)
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. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
European Journal of Mechanics. A, Solids
volume
27
issue
4
pages
532 - 547
publisher
Elsevier
external identifiers
  • wos:000257244900002
  • scopus:44649140939
ISSN
1873-7285
DOI
10.1016/j.euromechsol.2007.11.001
language
English
LU publication?
yes
id
d4d855ad-c89f-4e0b-b191-2163b8d6148d (old id 1515216)
date added to LUP
2009-12-10 10:59:06
date last changed
2017-08-20 03:30:40
@article{d4d855ad-c89f-4e0b-b191-2163b8d6148d,
  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 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       = {Utzinger, J and Menzel, Andreas and Steinmann, P},
  issn         = {1873-7285},
  language     = {eng},
  number       = {4},
  pages        = {532--547},
  publisher    = {Elsevier},
  series       = {European Journal of Mechanics. A, Solids},
  title        = {Aspects of bifurcation in an isotropic elastic continuum with orthotropic inelastic interface},
  url          = {http://dx.doi.org/10.1016/j.euromechsol.2007.11.001},
  volume       = {27},
  year         = {2008},
}