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arXiv · 1705.04868

Geometrically nonlinear Cosserat elasticity in the plane: applications to chirality

Sebastian Bahamonde·Christian G. Boehmer·Patrizio Neff
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Abstract

Modelling two-dimensional chiral materials is a challenging problem in continuum mechanics because three-dimensional theories reduced to isotropic two-dimensional problems become non-chiral. 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 non-linear Cosserat type elasticity theory. Our results are in agreement with previously derived equations of motion but can contain additional terms due to our non-linear approach. Plane wave solutions are briefly discussed within this model.

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Sebastian Bahamonde, Christian G. Boehmer, Patrizio Neff. 2017-05-13. Geometrically nonlinear Cosserat elasticity in the plane: applications to chirality. https://doi.org/10.2140/jomms.2017.12.689

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