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Lifetimes of DPF under various thermal stress cycles were calculated based on the slow crack growth theory and expected lifetimes were investigated in relation to maximum temperature during regenerations. The fatigue characteristics of porous honeycomb structures follow the slow crack growth theory. Maximum thermal stress was calculated from temperature distributions of failed DPF. The ratio of 4-point bending strength to maximum thermal stress was used as a correction factor. The thermal stress was calculated from various temperature distributions and then modified with the correction factor. These results were compared with the fatigue characteristics obtained from 4-point bending fatigue tests.