Fig. 20
![(a) Phononic band structure and (b) density of states (DOS) calculated using full model (matrix size: 4050 × 4050) and reduced Bloch mode expansion model (matrix size: 24 × 24). The IBZ, eigenvector selection points, and a schematic of the 2D unit cell are shown as insets in (a). The stiff/dense material phase is shown in black, and the compliant/light material phase is shown in white. (c) Computational efficiency: ratio of RBME model to full model calculation times r versus number of sampled κ-points along the border of the IBZ nκ (for two 2D FE meshes and a two-point expansion scheme). The number of elements is denoted by nel (adapted from Ref. [309] with permission from the Royal Society).](https://asmedc.silverchair-cdn.com/asmedc/content_public/journal/appliedmechanicsreviews/66/4/10.1115_1.4026911/10/amr_066_04_040802_f020.png?Expires=1716570630&Signature=PL7yHrFFL-R-zkaxWPITHIQbb1D1HLHvuT5Wi5UC4AJupel31IzME1OHBlY~vcRJMRBhO-d5ZU~Stkj6C-5Rtsi7ylMCnB7ZJd4j1kGBXtLtU8pnOgoICExQujIB2Q1Mxp5HnxHqg5F-tMBHRYr1SLUVioC5uYuDRcwXl~dzueVZgRxGiIgsDuhNM3rSTxg-ztnFSsMB5JDCFNO8JHpKiu-irQn-BTIk8Szs2KSYRRNrUrFz1c0363JFVH65tEqi0ZD6BPCmbKm9t97~bvElHpfg~MpmIZWYl2ttKz8DDf~UjAi-HacP7i6uCBT4m5oHC9zG4PJggyAf8Biyis~82A__&Key-Pair-Id=APKAIE5G5CRDK6RD3PGA)
(a) Phononic band structure and (b) density of states (DOS) calculated using full model (matrix size: 4050 × 4050) and reduced Bloch mode expansion model (matrix size: 24 × 24). The IBZ, eigenvector selection points, and a schematic of the 2D unit cell are shown as insets in (a). The stiff/dense material phase is shown in black, and the compliant/light material phase is shown in white. (c) Computational efficiency: ratio of RBME model to full model calculation times r versus number of sampled κ-points along the border of the IBZ nκ (for two 2D FE meshes and a two-point expansion scheme). The number of elements is denoted by nel (adapted from Ref. [309] with permission from the Royal Society).
