Logarithmic spin, logarithmic rate and material frame-indifferent generalized plasticity

Soldatos, Dimitris and Triantafyllou, Savvas P. (2016) Logarithmic spin, logarithmic rate and material frame-indifferent generalized plasticity. International Journal of Applied Mechanics, 8 (5). ISSN 1758-826X

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In this work we present a new rate type formulation of large deformation generalized plasticity which is based on the consistent use of the logarithmic rate concept. For this purpose, the basic constitutive equations are initially established in a local rotationally neutralized configuration which is defined by the logarithmic spin. These are then rephrased in their spatial form, by employing some standard concepts from the tensor analysis on manifolds. Such an approach, besides being compatible with the notion of (hyper)elasticity, offers three basic advantages, namely:(i) The principle of material frame-indifference is trivially satisfied ; (ii) The structure of the infinitesimal theory remains essentially unaltered ; (iii) The formulation does not preclude anisotropic response. A general integration scheme for the computational implementation of generalized plasticity models which are based on the logarithmic rate is also discussed. The performance of the scheme is tested by two representative numerical examples.

Item Type: Article
RIS ID: https://nottingham-repository.worktribe.com/output/804205
Additional Information: Electronic version of an article published as International Journal of Applied Mechanics, 29 August 2016, doi:10.1142/S1758825116500605 ┬ęcopyright World Scientific Publishing Company http://www.worldscientific.com/doi/10.1142/S1758825116500605
Keywords: Generalized plasticity; logarithmic rate; rotationally neutralized configuration; incrementally objective algorithm
Schools/Departments: University of Nottingham, UK > Faculty of Engineering > Department of Civil Engineering
Identification Number: https://doi.org/10.1142/S1758825116500605
Depositing User: Eprints, Support
Date Deposited: 04 Jul 2016 12:33
Last Modified: 04 May 2020 18:05
URI: https://eprints.nottingham.ac.uk/id/eprint/34616

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