The geometrically nonlinear Cosserat micropolar shear-stretch energy. Part I: A general parameter reduction formula and energy-minimizing microrotations in 2D

Andreas Fischle, Patrizio Neff

In any geometrically nonlinear quadratic Cosserat-micropolar extended continuum model formulated in the deformation gradient field $F:=\nabla \phi :\Omega \to {\mathrm{GL}}^{+}(n)$ and the mic…