10 citations · 25 across the 4 of their papers we have counts for
4 papers
Micropolar continua as projective space of Skyrmions
Yongjo Lee
Micropolar continua are shown to be the generalisation of the nematic liquid crystals through perspectives of order parameters, topological and geometrical considerations. Micropol…
Compatibility conditions of continua using Riemann-Cartan geometry
Christian G. Boehmer, Yongjo Lee
The compatibility conditions for generalised continua are studied in the framework of differential geometry, in particular Riemann-Cartan geometry. We show that Vallée's compatibil…
Chirality in the plane
Christian G. Boehmer, Yongjo Lee, Patrizio Neff
It is well-known that many three-dimensional chiral material models become non-chiral when reduced to two dimensions. Chiral properties of the two-dimensional model can then be res…
Soliton solutions in geometrically nonlinear Cosserat micropolar elasticity with large deformations
Christian G. Boehmer, Yongjo Lee, Patrizio Neff
We study the fully nonlinear dynamical Cosserat micropolar elasticity problem in space with three dimensionals with various energy functionals dependent on the microrotation $\over…