Zaiser M, Sandfeld S (2014)
Publication Language: English
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2014
Publisher: Institute of Physics: Hybrid Open Access
Book Volume: 22
Journal Issue: 6
DOI: 10.1088/0965-0393/22/6/065012
Dislocation systems exhibit well-known scaling properties such as the Taylor relationship between flow stress and dislocation density, and the 'law of similitude' linking the flowstress to the characteristic wavelength of dislocation patterns. Here, we discuss the origin of these properties, which can be related to generic invariance properties of the equations of evolution of discrete dislocation systems, and their implications for a wide class of models of dislocation microstructure evolution. We demonstrate that under certain conditions dislocation simulations carried out at different stress, dislocation density and strain rate can be considered to be equivalent, and we study the range of deformation conditions ('similitude regime') over which this equivalence can be expected to hold. In addition, we discuss restrictions imposed by the stated invariance properties for density-based, non-local or stochastic models of dislocation microstructure evolution, and for dislocation patterns and size effects.
APA:
Zaiser, M., & Sandfeld, S. (2014). Scaling properties of dislocation simulations in the similitude regime. Modelling and Simulation in Materials Science and Engineering, 22(6). https://dx.doi.org/10.1088/0965-0393/22/6/065012
MLA:
Zaiser, Michael, and Stefan Sandfeld. "Scaling properties of dislocation simulations in the similitude regime." Modelling and Simulation in Materials Science and Engineering 22.6 (2014).
BibTeX: Download