Topology and shape optimization for elastoplastic structural response

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Isogeometric Analysis for Topology Optimization with a Phase Field Model (2012, methodology): “For example, this is the case for applications in fluid dynamics [1], heat conduction [45], vibration [58], multiphysics [92] and bioengineering [110]; also topology optimization has been used for shell structures [65, 84] and with different material models as in [88] for elastoplastic structures.”
CONTINUUM TOPOLOGY OPTIMIZATION OF BUCKLING-SENSITIVE STRUCTURES (2002, background): “In accordance with the isodeformation assumption, F A D F B D F D @x @X ( 6 ) where xDXCu.X/.”
Topology optimization of energy absorbing structures with maximum damage constraint (2017, methodology): “[32] eliminated the simplifications used in references [27, 28] to obtain more accurate analytical sensitivities for multiphase material topology optimization with von Mises elastoplasticity.”
Topology optimization of material‐nonlinear continuum structures by the element connectivity parameterization (2007, methodology): “The topological layout in Figure 9(b) is almost identical to that obtained in References [8, 10].”
Analytical sensitivity in topology optimization for elastoplastic composites (2015, background): “In short, the equation for stress sensitivity presented by Maute et al. (1998), Schwarz et al. (2001), and Schwarz and Ramm (2001) does not aim at the sensitivity of stress that satisfies equilibrium equation.”