“…A thicker Cr 2 O 3 layer was formed on the surface after 1473 K steam oxidation for 240 min. A criterion for the scale failure is given in the following equation [
34,35 ] :
where E is the elastic modulus, v is the Poisson's ratio, h is the scale thickness, σ is the equal biaxial residual stress of the scale, and G c is the work per unit area required for decohesion at the oxide–metal interface. The formation of a surface Cr 2 O 3 layer results in a large volume expansion, which leads to the accumulation of growth stress (the Pilling–Bedworth ratio for Cr 2 O 3 /Cr is 2.07).…”