Logarithmic spin, logarithmic rate and material frame-indifferent generalized plasticity
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 i...
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| Format: | Article |
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World Scientific Publishing
2016
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| Online Access: | https://eprints.nottingham.ac.uk/34616/ |
| _version_ | 1848794895085469696 |
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| author | Soldatos, Dimitris Triantafyllou, Savvas P. |
| author_facet | Soldatos, Dimitris Triantafyllou, Savvas P. |
| author_sort | Soldatos, Dimitris |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:23:27Z |
| format | Article |
| id | nottingham-34616 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:23:27Z |
| publishDate | 2016 |
| publisher | World Scientific Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-346162020-05-04T18:05:31Z https://eprints.nottingham.ac.uk/34616/ Logarithmic spin, logarithmic rate and material frame-indifferent generalized plasticity Soldatos, Dimitris Triantafyllou, Savvas P. 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. World Scientific Publishing 2016-08-29 Article PeerReviewed 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 Generalized plasticity; logarithmic rate; rotationally neutralized configuration; incrementally objective algorithm http://www.worldscientific.com/doi/10.1142/S1758825116500605 doi:10.1142/S1758825116500605 doi:10.1142/S1758825116500605 |
| spellingShingle | Generalized plasticity; logarithmic rate; rotationally neutralized configuration; incrementally objective algorithm Soldatos, Dimitris Triantafyllou, Savvas P. Logarithmic spin, logarithmic rate and material frame-indifferent generalized plasticity |
| title | Logarithmic spin, logarithmic rate and material frame-indifferent generalized plasticity |
| title_full | Logarithmic spin, logarithmic rate and material frame-indifferent generalized plasticity |
| title_fullStr | Logarithmic spin, logarithmic rate and material frame-indifferent generalized plasticity |
| title_full_unstemmed | Logarithmic spin, logarithmic rate and material frame-indifferent generalized plasticity |
| title_short | Logarithmic spin, logarithmic rate and material frame-indifferent generalized plasticity |
| title_sort | logarithmic spin, logarithmic rate and material frame-indifferent generalized plasticity |
| topic | Generalized plasticity; logarithmic rate; rotationally neutralized configuration; incrementally objective algorithm |
| url | https://eprints.nottingham.ac.uk/34616/ https://eprints.nottingham.ac.uk/34616/ https://eprints.nottingham.ac.uk/34616/ |