Sandfeld S, Thawinan E, Wieners C (2015)
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2015
Publisher: Elsevier
Book Volume: 72
Pages Range: 1-20
DOI: 10.1016/j.ijplas.2015.05.001
Micro-plasticity theories and models are suitable to explain and predict mechanical response of devices on length scales where the influence of the carrier of plastic deformation - the dislocations - cannot be neglected or completely averaged out. To consider these effects without resolving each single dislocation a large variety of continuum descriptions has been developed, amongst which the higher-dimensional continuum dislocation dynamics (hdCDD) theory by Hochrainer et al. (Phil. Mag. 87, pp. 1261-1282) takes a different, statistical approach and contains information that are usually only contained in discrete dislocation models. We present a concise formulation of hdCDD in a general single-crystal plasticity context together with a discontinuous Galerkin scheme for the numerical implementation which we evaluate by numerical examples: a thin film under tensile and shear loads. We study the influence of different realistic boundary conditions and demonstrate that dislocation fluxes and their lines' curvature are key features in small-scale plasticity.
APA:
Sandfeld, S., Thawinan, E., & Wieners, C. (2015). A link between microstructure evolution and macroscopic response in elasto-plasticity: Formulation and numerical approximation of the higher-dimensional continuum dislocation dynamics theory. International Journal of Plasticity, 72, 1-20. https://dx.doi.org/10.1016/j.ijplas.2015.05.001
MLA:
Sandfeld, Stefan, E Thawinan, and C Wieners. "A link between microstructure evolution and macroscopic response in elasto-plasticity: Formulation and numerical approximation of the higher-dimensional continuum dislocation dynamics theory." International Journal of Plasticity 72 (2015): 1-20.
BibTeX: Download