A vacuum vessel wall with a postulated crack is modeled by using the t
wo-dimensional solid finite elements. The J-integral value, a criterio
n of fracture mechanics, is calculated to estimate the integrity of th
e vacuum vessel wall with a postulated crack. The analytical results s
how that the J-integral value of a crack having a quarter depth of the
wall width is considerably less than the fracture toughness JIC when
the membrane stress is less than the 0.2% proof stress of the unirradi
ated material, even if the vacuum vessel is irradiated to 3 dpa. This
means that a shallow crack in the vacuum vessel wall does not become c
ritical in the design load.