We present a structural topology optimization framework considering material nonlinearity
by means of a tailored hyperelastic formulation. The nonlinearity is incorporated through a
hyperelastic constitutive model, which is capable of capturing a range of nonlinear material
behavior under both plane strain and plane stress conditions. We explore both standard (ie
quadrilateral) and polygonal finite elements in the solution process, and achieve smooth
convergence in both the optimization process and the solution of nonlinear state equations …