Modelling of elastoplastic behaviour of metallic materials with a homogenization approach: a self-consistent model based on dislocation densities. (English) Zbl 1329.74239

Summary: A self-consistent scheme taking into account the intragranular microstructure is applied for the micromechanical modelling of the elastoplastic material behaviour during monotonic and sequential loading paths. The intragranular description used in the model is initially based on experimental observations of the dislocations evolution in body-centred cubic polycrystals. We have extended this description to face-centred cubic materials. For each crystallite, three internal variables are introduced to describe the microstructural features allowing to determine the mechanical characteristics of the grain. Next, a meso-macro transition using an elastoplastic self-consistent model is used to deduce the polycrystal behaviour from the grain one. A correct agreement is observed between simulations and experimental results at the mesoscopic and the macroscopic levels.


74Q05 Homogenization in equilibrium problems of solid mechanics
74C05 Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)


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