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A numerical framework for rheological models based on the decomposition of the deformation rate tensor
Author(s) -
Donner Hendrik,
Ihlemann Jörn
Publication year - 2016
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201610148
Subject(s) - rheology , simple shear , tensor (intrinsic definition) , decomposition , deformation (meteorology) , simple (philosophy) , shear rate , shear (geology) , ode , cauchy stress tensor , materials science , mathematics , mathematical analysis , geometry , chemistry , composite material , philosophy , organic chemistry , epistemology
In this contribution, the rheological models based on the decomposition of the deformation rate tensor, as proposed by Palmow (1984), is combined with the numerical solution of objective tensorial ODEs as published by Rashid (1993). The resulting framework is suitable to model the complex inelastic properties of many materials at large strains. As an example, the Schwedoff model, which is appropriate for the simulation of metal forming processes, is analyzed within a cyclic simple shear test. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)