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Consideration of processes on the microscale of metallic materials for the development of constitutive models

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Summary

Processes on the microscale determine the macroscopic behaviour of metallic materials and should therefore be considered during the development of constitutive macroscopic equations used for engineering calculations. The article reviews the mathematical formulation of the most significant of these processes, such as dislocation motion due to thermal and mechanical activation and the development of internal structures during plastic deformation. It describes the consideration of these relations in a stochastic model for the inelastic behaviour of metals and shows the comparison between predictions of this model and experimental findings.

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  1. E. A. Steck &  R. Gerdes

    Present address: Institut für Allgemeine Mechanik und Festigkeitslehre, Technische Universität Braunschweig, Gaußstraße 14, D-38106, Braunschweig, Germany

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    Dedicated to Professor Dr.-Ing. E. h. Dr. h. c. mult. E. Stein on the occasion of his 65th birthday

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    Steck, E.A., Gerdes, R. Consideration of processes on the microscale of metallic materials for the development of constitutive models. Acta Mechanica 120, 1–30 (1997). https://doi.org/10.1007/BF01174313

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