Practical measures of three-dimensional stretchability on stretchable displays

Figures & data

Figure 1. Example of controlled generation of three-dimensional stretching (a) before stretching and (b) after stretching.

Figure 2. Schematic cross-sectional view to explain the proposed measures of three-dimensional stretchability.

Table 1. Twenty-one configurations of controlled generation of three-dimensional stretching.

No.	Diameter of sphere $2r_{\mathrm{sph}}$	Gap $d_{\mathrm{gap}}$	Height $h$	No.	Diameter of sphere $2r_{\mathrm{sph}}$	Gap $d_{\mathrm{gap}}$	Height $h$
1	25	5	5	12	45	7	10
2	25	5	7.5	13	45	10	5
3	25	5	10	14	45	10	7.5
4	35	5	5	15	45	10	10
5	35	5	7.5	16	55	5	5
6	35	5	10	17	55	5	7.5
7	45	5	5	18	55	5	10
8	45	5	7.5	19	65	5	5
9	45	5	10	20	65	5	7.5
10	45	7	5	21	65	5	10
11	45	7	7.5

Figure 3. Graphs of $\mathrm{Stre}{t}_{3DL1}$ and $\mathrm{Stre}{t}_{3DL2}$ versus $\mathrm{Stre}{t}_{3DL\mathrm{Ref}}$.

Figure 4. Graphs of $\mathrm{Stre}{t}_{3DA1}$ and $\mathrm{Stre}{t}_{3DA2}$ versus $\mathrm{Stre}{t}_{3DA\mathrm{Ref}}$.

Figure 5. Percent errors of $\mathrm{Stre}{t}_{3\mathrm{DL}1}$ and $\mathrm{Stre}{t}_{3\mathrm{DL}2}$ versus $\mathrm{Stre}{t}_{3\mathrm{DLRef}}$.

Figure 6. Percent errors of $\mathrm{Stre}{t}_{3\mathrm{DA}1}$ and $\mathrm{Stre}{t}_{3\mathrm{DA}2}$ versus $\mathrm{Stre}{t}_{3\mathrm{DARef}}$.

Figure 7. Effects of changing values of the gap on $\mathrm{Stre}{t}_{3DL2}$. $r_{\mathrm{sph}}=45\text{mm}\text{for}\text{three}\text{cases},h=5,7.5,\text{and}10\text{mm},$ and the values of $d_{\mathrm{gap}}$ are on the graph.

Figure 8. Effects of changing values of the sphere radius on $\mathrm{Stre}{t}_{3DL2}$. $d_{\mathrm{gap}}=5\mathrm{mm},$ $h=10\mathrm{mm}$ and the values of $r_{\mathrm{sph}}$ are on the graph.