Analysis of semi-solid response under rapid compression tests using
multi-scale modelling and experiments
multi-scale modelling and experiments
(1. Arts et Métiers ParisTech, CNRS PIMM, 151 Boulevard de l’Hôpital, 75013 Paris, France;
2. Department of Engineering, University of Leicester, University Road, Leicester, LE1 7RH, UK)
2. Department of Engineering, University of Leicester, University Road, Leicester, LE1 7RH, UK)
Abstract: Simulating semi-solid metal forming requires modelling semi-solid behaviour. However, such modelling is difficult because semi-solid behavior is thixotropic and depends on the liquid−solid spatial distribution within the material. In order to better understand and model relationships between microstructure and behavior, a model based on micromechanical approaches and homogenisation techniques is presented. This model is an extension of a previous model established in a pure viscoplastic framework to account for elasticity. Indeed, experimental load−displacement signals reveal the presence of an elastic-type response in the earlier stages of deformation when semi-solids are loaded under rapid compression. This elastic feature of the behaviour is attributed to the response of the porous solid skeleton saturated by incompressible liquid. A good quantitative agreement is found between the elastic-viscoplastic predicted response and the experimental data. More precisely, the strong initial rising part of the load−displacement curve, the peak load and the subsequent fall in load are well captured. The effect of solid fraction on mechanical response is in qualitative agreement with experiments.
Key words: semi-solid metal; aluminium; solid fraction; elastic-viscoplasticity; homogenization