Aspects of bifurcation in an isotropic elastic continuum with orthotropic inelastic interface
(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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1515216
- author
- Utzinger, J ; Menzel, Andreas LU and Steinmann, P
- organization
- publishing date
- 2008
- 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
- 2016-04-01 11:42:58
- date last changed
- 2022-03-20 17:55:19
@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}},
doi = {{10.1016/j.euromechsol.2007.11.001}},
volume = {{27}},
year = {{2008}},
}