Design of materials with prescribed nonlinear properties

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Length scale and manufacturability in density-based topology optimization (2016, methodology): “The above formulation has been utilized for photonic crystal design [145] and [146], for topology optimization in acoustics [32], and for material design in [149].”
Systematic design of 3D auxetic lattice materials with programmable Poisson’s ratio for finite strains (2018, methodology): “This study extends the work in 2D auxetic material design [35] to 3D auxetic material design utilizing a flexible framework for large scale topology optimization based on the Portable, Extensible Toolkit for Scientific Computation (PETSc) [41, 42].”
A systematic approach to identify cellular auxetic materials (2015, background): “The starting point is the observation that the well-known 2D quadratic chiral lattice structure, which shows full auxetic behavior [24, 25], is an eigenmode of the quadratic lattice (see figure 1).”