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Macroscopic and mesoscopic modeling based on the concept of generalized stresses for cutting simulation
Author(s) -
Cheng Chun,
Mahnken Rolf,
Uhlmann Eckart,
Ivanov Ivan Mitkov
Publication year - 2014
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201410197
Subject(s) - mesoscopic physics , martensite , plasticity , transformation (genetics) , constitutive equation , mechanism (biology) , austenite , phase (matter) , mechanics , materials science , statistical physics , structural engineering , physics , engineering , finite element method , metallurgy , chemistry , microstructure , composite material , biochemistry , quantum mechanics , gene
Abstract Based on the concept of generalized stresses proposed by GURTIN [2] and FOREST et al. [1] macro‐ and meso‐scopic modelling are presented. For the macroscopic modelling we develop a multi‐mechanism model for strain rate and temperature dependent asymmetric plastic material behavior accompanied by phase transformation with consideration of the trip‐strain. Furthermore, we extend the multi‐mechanism model with the gradient of phase fraction, which is considered as an extra degree of freedom. For mesoscopic modelling a phase field model is implemented for describing phase transformations. For the scenario of a cutting process we have a martensite‐austenite‐martensite transformation. A generalized principle of virtual power is postulated involving generalized stresses and used to derive the constitutive equations for both approaches. Furthermore, parameters of the multi‐mechanism model related to visco‐plasticity with SD‐effect and the trip‐strain are identified for the material DIN 100Cr6. In the examples a cutting simulation for testing the multi‐mechanism model and a phase‐transformation simulation are shown. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)