5 papers
Comparative study of multiscale computational strategies for materials with discrete microstructures
K. Mikeš, F. Bormann, O. Rokoš +1
The evolution of local defects such as dislocations and cracks often determines the performance of engineering materials. For a proper description and understanding of these phenom…
On the competition between dislocation transmission and crack nucleation at phase boundaries
F. Bormann, R. H. J. Peerlings, M. G. D. Geers
The interaction of dislocations with phase boundaries is a complex phenomenon, that is far from being fully understood. A 2D Peierls-Nabarro finite element (PN-FE) model for studyi…
The Peierls--Nabarro FE model in two-phase microstructures -- a comparison with atomistics
F. Bormann, K. Mikeš, O. Rokoš +1
This paper evaluates qualitatively as well as quantitatively the accuracy of a recently proposed Peierls--Nabarro Finite Element (PN-FE) model for dislocations by a direct comparis…
Application and adaptation of the truncated Newton method for non-convex plasticity problems
F. Bormann, R. H. J. Peerlings, M. G. D. Geers
Small-scale plasticity problems are often characterised by different patterning behaviours ranging from macroscopic down to the atomistic scale. In successful models of such comple…
A computational approach towards modelling dislocation transmission across phase boundary
F. Bormann, R. H. J. Peerlings, M. G. D. Geers +1
To study the nanoscopic interaction between edge dislocations and a phase boundary within a two-phase microstructure the effect of the phase contrast on the internal stress field d…