Interpolation scheme for fictitious domain techniques and topology optimization of finite strain elastic problems

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Robust topology optimization of structures with imperfect geometry based on geometric nonlinear analysis (2015, methodology): “Several strategies for solving this problem have been presented in the literature including modified material interpolation schemes [35], an element removal strategy [34] and the element connectivity parameterization method [36].”
Length scale and manufacturability in density-based topology optimization (2016, background): “Recently, an interpolation scheme for nonlinear materials was proposed in [148] where the interpolation is performed between two material potentials rather than between two material properties.”
Current and future trends in topology optimization for additive manufacturing (2018, methodology): “[171], additive hyperelasticity technique by Luo et al.”
Systematic design of 3D auxetic lattice materials with programmable Poisson’s ratio for finite strains (2018, methodology): “low physical density elements, an energy interpolation formulation presented in [34] is employed.”