For the accurate analysis and design of microforming process, proper modeling of material behavior at the micro/mesoscale is necessary by considering the size effects. Two size effects are known to exist in metallic materials. One is the “grain size” effect, and the other is the “feature/specimen size” effect. This study investigated the feature/specimen size effect and introduced a scaling model which combined both feature/specimen and grain size effects. Predicted size effects were compared with three separate experiments obtained from previous research: a simple compression with a round specimen, a simple tension with a round specimen, and a simple tension in sheet metal. The predicted results had a very good agreement with the experiments. Quantification of the miniaturization effect has been achieved by introducing two parameters, and , which can be determined by the scaling parameter , to the Hall–Petch equation. The scaling model offers a simple way to model the size effect down to length scales of a couple of grains and to extend the use of continuum plasticity theories to micro/mesolength scales.
Modeling of the Size Effects on the Behavior of Metals in Microscale Deformation Processes
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Kim, G., Ni, J., and Koç, M. (December 4, 2006). "Modeling of the Size Effects on the Behavior of Metals in Microscale Deformation Processes." ASME. J. Manuf. Sci. Eng. June 2007; 129(3): 470–476. https://doi.org/10.1115/1.2714582
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