Journal
COMPUTATIONAL MATERIALS SCIENCE
Volume 100, Issue -, Pages 144-158Publisher
ELSEVIER
DOI: 10.1016/j.commatsci.2014.12.028
Keywords
Generalized stresses; Gradient term; Additional degree of freedom; Huh-Kang rate form; Asymmetric effects; Cutting simulation; Phase transformation; Transformation-induced plasticity
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Funding
- Deutsche Forschungsgemeinschaft (DFG)
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In this work we extend an existing model for strain rate- and temperature-dependent asymmetric plastic material behavior accompanied by phase transformation with a gradient term of phase fraction based on the concept of generalized stresses as proposed by Gurtin and Forest. To this end a chemical variable, representing the austenite volume fraction, is treated as an extra degree of freedom, and the influence of its first gradient will be studied. A generalized principle of virtual power is postulated involving generalized stresses and used to derive the constitutive equations. The bulk model is formulated within a thermodynamic framework. For the scenario of a cutting process we have a martensite-austenite-martensite transformation. For the asymmetric visco-plastic part we use a modified strain rate form (Huh-Kang form) with a quadratic dependence of strength on the logarithm of the strain rate as a replacement for the linear dependence of the Johnson-Cook model. Furthermore, two numerical examples are given. Firstly, we identify the material parameters for the material DIN 100Cr6 in a hardened state by using experimental data under tension, compression and torsion taking the SD-effect into account. Secondly, a cutting simulation is investigated to test our model and the different mechanisms are illustrated. (C) 2015 Elsevier B.V. All rights reserved.
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