Effects of Rate, Size and Prior Deformation in Microcrystal Plasticity
arXiv:1908.03175
The paper presents a minimal discrete edge dislocation model for sub‑micron crystals, showing how loading rate, specimen size, and prior deformation affect plastic response and avalanche behavior, and explores machine‑learning approaches to predict mechanical properties.
Abstract
Crystal plasticity of sub-micron finite volumes is characterized by the flow of emergent dislocation defects, giving rise to size effects in mechanical properties and avalanche phenomena. In this chapter, we present a minimal model for discrete edge dislocations in a finite volume, that has been benchmarked against experimental data and displays known phenomenological trends. We discuss how this model can explain seemingly disconnected effects of rate, size and prior deformation on microcrystal plasticity. We demonstrate the statistical features of dislocation ensembles for both stress and displacement controlled loading conditions and explore in detail the connection between loading rate and displacement bursts. Finally, we present model studies of machine learning algorithms in microcrystal plasticity that both improve understanding and clarify the range of such methods' usefulness. In this way, we elucidate the role of prior deformation history on micro and nano-sized specimens and we use this understanding to predict the mechanical response of thin films through microstructural observations of pre-existing dislocation configurations.
Chapter 1 of "Mechanics and physics of solids at micro- and nano-scale" book for ICACM. 27 pages, 14 figures