Modelling of the interface between a thin film and a substrate within a strain gradient plasticity framework
2007 (English)In: Journal of the mechanics and physics of solids, ISSN 0022-5096, Vol. 55, no 5, 939-955 p.Article in journal (Refereed) Published
Interfaces play an important role for the plastic deformation at the micron scale. In this paper, two types of interface models for isotropic materials are developed and applied in a thin film analysis. The first type, which can also be motivated from dislocation theory, assumes that the plastic work at the interface is stored as a surface energy that is linear in plastic strain. In the second model, the plastic work is completely dissipated and there is no build-up of a surface energy. Both formulations introduce one length scale parameter for the bulk material and one for the interface, which together control the film behaviour. It is demonstrated that the two interface models give equivalent results for a monotonous, increasing load. The combined influence of bulk and interface is numerically studied and it is shown that size effects are obtained, which are controlled by the length scale parameters of bulk and interface.
Place, publisher, year, edition, pages
2007. Vol. 55, no 5, 939-955 p.
dislocations; constitutive behaviour; strain gradient plasticity
IdentifiersURN: urn:nbn:se:kth:diva-8035DOI: 10.1016/j.jmps.2006.11.001ISI: 000246942500003ScopusID: 2-s2.0-34047123676OAI: oai:DiVA.org:kth-8035DiVA: diva2:13249
QC 201007232008-02-262008-02-262010-11-29Bibliographically approved