Topological design of structures and composite materials with multiobjectives

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Level set topology optimization of structures under stress and temperature constraints (2020, background): “[12] studied the influence of heat conduction in both structural and material designs.”
A Pareto-Optimal Approach to Multimaterial Topology Optimization (2015, methodology): “If the materials are composites, it is well-known that SIMP interpolations can violate Hashin-Shtrikman bounds [27].”
A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, background): “Later, Guest and Prévost (2006a, 2007) and Chen et al. (2009) designed periodic structures for both stiffness and fluid permeability while Chen et al. (2010b) and de Kruijf et al. (2007) designed for stiffness and thermal conductivity.”
Mechanical metamaterials associated with stiffness, rigidity and compressibility: a brief review (2017, background): “Topological optimisation suggests that the response of mechanical metamaterials can be easily tuned by simply changing the shape of the holes with optimal compaction [219].”
Design of three dimensional isotropic microstructures for maximized stiffness and conductivity (2007, background): “As well as having practical application, the objective function we consider is convenient from a theoretical viewpoint due to the cross–property bounds derived by Gibiansky and Torquato (1996). The requirement of isotropy with respect to elasticity has not been seen in previous multifunctional compo”