This paper is devoted to developing a mathematical model of dynamic recrystallization phenomena based on the earlier work of K. Hackl and J. Renner  for polycrystalline materials. In this model a variational approach employing a distribution function for dynamic recrystallization processes of polycrystalline materials is presented. It is based on a marching algorithm at the microscale as well as a homogenization procedure to arrive at the macroscale. The newly proposed theory is now used to improve the variational approach. Then this theory is applied within the homogenization procedure. A comparison of the present model with existing phenomenological ones is given. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Proceedings in Applied Mathematics & Mechanics – Wiley
Published: Jan 1, 2017
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