Bahamonde, S;
Böhmer, CG;
Neff, P;
(2017)
Geometrically nonlinear Cosserat elasticity in the plane: applications to chirality.
Journal of Mechanics of Materials and Structures
, 12
(5)
pp. 689-710.
10.2140/jomms.2017.12.689.
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Abstract
Modeling two-dimensional chiral materials is a challenging problem in continuum mechanics because three-dimensional theories reduced to isotropic two-dimensional problems become nonchiral. Various approaches have been suggested to overcome this problem. We propose a new approach to this problem by formulating an intrinsically two-dimensional model which does not require references to a higher dimensional one. We are able to model planar chiral materials starting from a geometrically nonlinear Cosserat-type elasticity theory. Our results are in agreement with previously derived equations of motion but can contain additional terms due to our nonlinear approach. Plane wave solutions are briefly discussed within this model.
| Type: | Article |
|---|---|
| Title: | Geometrically nonlinear Cosserat elasticity in the plane: applications to chirality |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.2140/jomms.2017.12.689 |
| Publisher version: | http://dx.doi.org/10.2140/jomms.2017.12.689 |
| Language: | English |
| Additional information: | This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Cosserat continuum, Geometrically nonlinear micropolar elasticity, Chiral materials, Planar models |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1564937 |
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