app / pair map

engine 0.1, data 2026.09.05-1

Pair map

Feasibility of 25 ceramic-to-alloy joints with a graded interlayer at dT 1 200 K. The map is a mock from Paper 2; the console computes R07 for the 9 pairs seeded in data/ so far.

20 unconditional5 conditionalmock map

Ceramic by alloy

click a cell

IN718

IN625

Hastelloy X

Haynes 230

Ti-6Al-4V

Al2O3

AlN

SiC

Si3N4

ZrO2

Amber outline: conditional on a disputed value (R00 flags it). n from the minimax rule R07 with sigma_c 0.8 GPa.

Selected pair

R05 to R07

Al2O3 to IN718

Steps n

5

Step stress

0.63

GPa

Phi

0.79

unconditionalanchor Mo

Open in stack designer Verdict

Anchor oxides

reactive PVD adhesion layer

MoHfTaZrNbCr

Anchor chosen per pair by the two-floor mechanism of Paper 2: the oxide must wet the ceramic and its CTE must sit inside the staircase. ZrO2 pairs become unconditional once the Cr2O3 CTE dispute is settled; required input: dilatometry .csv on the actual oxide.

Activity0 / 9 steps

01R07quality Cn_min = ceil(M_H Delta alpha Delta T / sigma_c) - 1 = ceil(3.65) - 1 = 3 for Sapphire, c-plane to Inconel 718 (sigma_c 800 MPa, step stress at n_min 0.73 GPa, Phi 0.91).
02R07quality Cn_min = ceil(M_H Delta alpha Delta T / sigma_c) - 1 = ceil(3.57) - 1 = 3 for Sapphire, c-plane to Stainless steel 316L (sigma_c 800 MPa, step stress at n_min 0.71 GPa, Phi 0.89).
03R07quality Cn_min = ceil(M_H Delta alpha Delta T / sigma_c) - 1 = ceil(2.79) - 1 = 2 for Sapphire, c-plane to Nichrome 80/20 (sigma_c 800 MPa, step stress at n_min 0.74 GPa, Phi 0.93).
04R07quality Cn_min = ceil(M_H Delta alpha Delta T / sigma_c) - 1 = ceil(7.23) - 1 = 7 for Alumina, sintered to Inconel 718 (sigma_c 350 MPa, step stress at n_min 0.32 GPa, Phi 0.9).
05R07quality Cn_min = ceil(M_H Delta alpha Delta T / sigma_c) - 1 = ceil(7.16) - 1 = 7 for Alumina, sintered to Stainless steel 316L (sigma_c 350 MPa, step stress at n_min 0.31 GPa, Phi 0.9).
06R07quality Cn_min = ceil(M_H Delta alpha Delta T / sigma_c) - 1 = ceil(5.21) - 1 = 5 for Alumina, sintered to Nichrome 80/20 (sigma_c 350 MPa, step stress at n_min 0.3 GPa, Phi 0.87).
07R07quality Cn_min = ceil(M_H Delta alpha Delta T / sigma_c) - 1 = ceil(6.02) - 1 = 6 for Silicon nitride, sintered to Inconel 718 (sigma_c 700 MPa, step stress at n_min 0.6 GPa, Phi 0.86).
08R07quality Cn_min = ceil(M_H Delta alpha Delta T / sigma_c) - 1 = ceil(5.76) - 1 = 5 for Silicon nitride, sintered to Stainless steel 316L (sigma_c 700 MPa, step stress at n_min 0.67 GPa, Phi 0.96).
09R07quality Cn_min = ceil(M_H Delta alpha Delta T / sigma_c) - 1 = ceil(5.16) - 1 = 5 for Silicon nitride, sintered to Nichrome 80/20 (sigma_c 700 MPa, step stress at n_min 0.6 GPa, Phi 0.86).
awaiting input

mock: simulated measurement. quality C: placeholder, to verifyR00 to R24