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In order to quantitatively evaluate mechanical durability of metal substrates for catalytic converters under heat cycles, thermal stresses and strains were simulated by FEM elastic-plastic analysis. Flat and corrugated sheets constituting honeycomb structures were directly modeled by thick-shell elements without replacing the structures with equivalent solid elements. It was reported that an asymmetric joint structure with “Strengthened Outer Layer” could provide metal substrates with high mechanical durability against heat cycles and the results of analysis in this study could show their high durability. It is important for improvement of mechanical durability to control the location of initial cracks generation and the direction of their propagation.