Figure 3
(a) Analytical model (black solid line) and FE results of the eigenmodes of hexagonal network reinforced composites as a function of thickness to cell size ratio \({t}/{H}\) and shear modulus ratio \(\frac{{{\boldsymbol{\mu }}}_{1}}{{{\boldsymbol{\mu }}}_{0}}\); (b) FE results of the instability patterns of the hexagonal network reinforced composites. (Type I pattern is local repeating patterns (hollow symbols), and Type II pattern is global alternating patterns (solid symbols)); (c) summary of the two types of wrinkling patterns from numerical simulations. The details of material and geometric property of each case are follows: case 1(\(\frac{{\boldsymbol{t}}}{{\boldsymbol{H}}}=\frac{1}{60},\frac{{{\boldsymbol{\mu }}}_{1}}{{{\boldsymbol{\mu }}}_{0}}=50\)), case 2(\(\frac{{\boldsymbol{t}}}{{\boldsymbol{H}}}=\frac{1}{30},\frac{{{\boldsymbol{\mu }}}_{1}}{{{\boldsymbol{\mu }}}_{0}}=100\)), case 3(\(\frac{{\boldsymbol{t}}}{{\boldsymbol{H}}}=\frac{1}{15},\frac{{{\boldsymbol{\mu }}}_{1}}{{{\boldsymbol{\mu }}}_{0}}=100\)), case 4(\(\frac{{\boldsymbol{t}}}{{\boldsymbol{H}}}=\frac{2}{15},\frac{{{\boldsymbol{\mu }}}_{1}}{{{\boldsymbol{\mu }}}_{0}}=50\)), case 5(\(\frac{{\boldsymbol{t}}}{{\boldsymbol{H}}}=\frac{1}{15},\frac{{{\boldsymbol{\mu }}}_{1}}{{{\boldsymbol{\mu }}}_{0}}=1000\)), case 6(\(\frac{{\boldsymbol{t}}}{{\boldsymbol{H}}}=\frac{1}{15},\frac{{{\boldsymbol{\mu }}}_{1}}{{{\boldsymbol{\mu }}}_{0}}=50\)).
