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Inelastic behaviour of polycrystalline metals under complex loading condition. (English) Zbl 0612.73045

In this paper, a simple mechanical model of polycrystal is suggested on the basis of the crystal plasticity. This model incorporates interactions among grains in polycrystal and interactions among slip systems in a crystal grain component. Especially, an equation for a slip strain of slip system is based on a theory of thermo-activation motion of dislocation. In this way, the model can take into account rate (creep) properties and temperature effects as well as an induced plastic anisotropy depending on deformation path, under multi-axial condition. Some computations are done by using the model for typical sets of strain paths and compared with corresponding experimental results of aluminium alloy at \(200^ oC\). The computational results reproduce accurately typical features observed in the experiments.

MSC:

74C15 Large-strain, rate-independent theories of plasticity (including nonlinear plasticity)
74C20 Large-strain, rate-dependent theories of plasticity
74C99 Plastic materials, materials of stress-rate and internal-variable type
82D25 Statistical mechanics of crystals
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