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Cosserat micropolar
elasticity: classical Eringen vs. dislocation form
Ionel-Dumitrel Ghiba, Gianluca Rizzi, Angela Madeo and Patrizio Neff |
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Vol. 18 (2023), No. 1, 93–123
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Abstract |
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We give a comparative presentation of the linear isotropic Cosserat elastic model from two perspectives: the classical Mindlin–Eringen–Nowacki description in terms of a microrotation vector and a new formulation in terms of a skew-symmetric matrix and a curvature energy in dislocation form. We provide the reader with an alternative representation of the energy for the isotropic Cosserat model to ease the comparison with the relaxed micromorphic model and the geometrically nonlinear Cosserat elastic model. |
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Keywords
Cosserat micropolar model, relaxed micromorphic model,
microrotation vector, Cosserat couple modulus, parameter
identification, dislocation density tensor, Nye's formula
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Milestones
Received: 11 July 2022
Revised: 18 November 2022
Accepted: 22 November 2022
Published: 24 March 2023
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Authors |
| Ionel-Dumitrel Ghiba | |
| Department of Mathematics Alexandru Ioan Cuza University of Iaşi Iaşi Romania |
Octav Mayer Institute of Mathematics
of the Romanian Academy Iaşi Branch Iaşi Romania |
| Gianluca Rizzi | |
| Faculty of Architecture and Civil
Engineering Technische Universität Dortmund Dortmund Germany |
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| Angela Madeo | |
| Faculty of Architecture and Civil
Engineering Technische Universität Dortmund Dortmund Germany |
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| Patrizio Neff | |
| Faculty of Mathematics Universität Duisburg-Essen Essen Germany |
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| © 2023 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). |
