Optimal tailoring of 2D volume-fraction distributions for heat-resisting functionally graded materials using FDM

By Jin-Rae Cho, D. Ha. 2002

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Dynamic analysis of two-dimensional functionally graded thick hollow cylinder with finite length under impact loading (2009, background): “Cho and Ha [16] optimized the volume fraction distributions of 2D-FGM for relaxing the effective thermal stresses.”
Two-dimensional optimization of material composition of functionally graded materials using meshless analyses and a genetic algorithm (2006, methodology): “Cho and Ha [16] used bilinear elements for the volume fraction field with a coarser mesh than that used for the finite element thermoelastic analysis.”
Elastic-plastic analysis of two-dimensional functionally graded materials under thermal loading (2009, background): “From the investigations of Cho and Ha (2002) and Goupee and Vel (2006) it can be noticed that their investigations aimed at optimizing the volume fractions distributions of conventional FGMs.”
Thermo-elastic optimization of material distribution of functionally graded structures by an isogeometrical approach (2014, methodology): “At the first model problem, we verify the presented results by optimization of a three layered Ni–Al2O3 FGM square plate for which the optimal results of other numerical methods such as finite elements (Cho and Ha, 2002b) and meshless method (Goupee and Vel, 2006b) are available in the literature.”