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

Soldatos, Dimitris; Triantafyllou, Savvas P.

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Authors

Dimitris Soldatos

Savvas P. Triantafyllou



Abstract

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.

Citation

Soldatos, D., & Triantafyllou, S. P. (in press). Logarithmic spin, logarithmic rate and material frame-indifferent generalized plasticity. International Journal of Applied Mechanics, 8(5), https://doi.org/10.1142/S1758825116500605

Journal Article Type Article
Acceptance Date May 9, 2016
Online Publication Date Aug 29, 2016
Deposit Date Jul 4, 2016
Publicly Available Date Aug 29, 2016
Journal International Journal of Applied Mechanics
Print ISSN 1758-8251
Electronic ISSN 1758-826X
Publisher World Scientific
Peer Reviewed Peer Reviewed
Volume 8
Issue 5
DOI https://doi.org/10.1142/S1758825116500605
Keywords Generalized plasticity; logarithmic rate; rotationally neutralized configuration; incrementally objective algorithm
Public URL https://nottingham-repository.worktribe.com/output/804205
Publisher URL http://www.worldscientific.com/doi/10.1142/S1758825116500605
Additional Information Electronic version of an article published as International Journal of Applied Mechanics, 29 August 2016, doi:10.1142/S1758825116500605 ©copyright World Scientific Publishing Company http://www.worldscientific.com/doi/10.1142/S1758825116500605
Contract Date Jul 4, 2016

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