Orlik, J.J.Orlik2022-03-042022-03-042010https://publica.fraunhofer.de/handle/publica/22388710.1016/j.compstruct.2009.11.021The theory of the two-scale convergence was applied to homogenization of initial flow stresses and hardening constants in some exponential hardening laws for elasto-plastic composites with a periodic microstructure. The theory is based on the fact that both the elastic and the plastic part of the stress field two-scale converge to a limit, which can be factorized by parts, one of which depends only on the macroscopic, and the other one - only on the microscopic characteristics. The first factor is represented in terms of the homogenized stress tensor and the second factor - in terms of stress concentration tensor, that relates to the micro-geometry and elastic or plastic micro-properties of composite components. The theory was applied to a composite, that consists of the metallic elasto-plastic matrix with Ludwik and Hocket-Sherby hardening law and pure elastic silica inclusions. Results were compared with those of averaging based on the self-consistent methods.en003006519624journal article