Table 1 Material properties and cohesive zone parameters.

LuPO₄

E = 193.4 GPa; ν = 0.29

C₁₁ = 326.9; C₁₂ = 32.6; C₁₃ = 111; C₂₂ = 282.9; C₃₃ = 403.8; C₄₄ = 80.4; C₆₆ = 31.9

1000 N/μm²

0.01 μm

0.0016 N/μm²

Lu₂SiO₅

E = 148.6 GPa; ν = 0.24

C₁₁ = 240; C₁₂ = 67; C₁₃ = 86; C₁₅ = 9; C₂₂ = 221; C₂₃ = 49; C₂₅ = − 20; C₃₃ = 194; C₃₅ = − 35; C₄₄ = 52; C₄₆ = 11; C₅₅ = 81; C₆₆ = 71

1000 N/μm²

0.01 μm

0.0015 N/μm²

CMAS

E = 104.5 GPa; ν = 0.26

–

1000 N/μm²

0.01 μm

0.0008 N/μm²

CMAS-grain Interface

–

–

1000 N/μm²

0.01 μm

0.0004 N/μm²

Grain Boundaries

–

–

1000 N/μm²

0.01 μm

T_max × {0.785 + 0.215sin(4θ)}*