An efficient elasto-visco-plastic self-consistent formulation: Application to steel subjected to loading path changes
A novel elasto-visco-plastic self-consistent (EVPSC) formulation based on the scheme of the homogeneous effective medium is presented. The constitutive behavior of a polycrystal is described as that of an elasto-visco-plastic effective medium interacting with grains treated as elasto-visco-plastic e...
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Published in | International journal of plasticity Vol. 135; p. 102812 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
New York
Elsevier Ltd
01.12.2020
Elsevier BV |
Subjects | |
Online Access | Get full text |
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Summary: | A novel elasto-visco-plastic self-consistent (EVPSC) formulation based on the scheme of the homogeneous effective medium is presented. The constitutive behavior of a polycrystal is described as that of an elasto-visco-plastic effective medium interacting with grains treated as elasto-visco-plastic ellipsoidal inclusions. The formulation is based on the definition of a unique elasto-visco-plastic compliance, so avoiding the inconsistency arising from assuming superimposed elastic and visco-plastic interaction laws, as made in similar elasto-visco-plastic models. In addition, the elasto-visco-plastic constitutive equation of crystal and aggregate is formulated in terms of stress increments, which leads naturally to a semi implicit solution scheme. The superior numerical stability and computational efficiency of the new incremental EVPSC model (denoted as ΔEVPSC) are demonstrated by applying the model to a 316L austenitic stainless steel and comparing against other elasto-plastic models. The modeling capability for predicting texture, stress-strain response, and Bauschinger effect are demonstrated using a dislocation-density based hardening law applied to low carbon (LC) steel subjected to deformation histories that involve strain-path changes.
•A new efficient elasto-visco-plastic self-consistent formulation is developed.•The computational efficiency of the new model is superior to other similar models.•The new model successfully captured flow behavior under complex loading histories. |
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ISSN: | 0749-6419 1879-2154 |
DOI: | 10.1016/j.ijplas.2020.102812 |