The non-linear buckling behavior of cross scored reverse type rupture discs, subjected to pressure on convex, is investigated with the finite element method. The tracing of nonlinear paths in the load-displacement response for the buckling and post buckling of reverse rupture discs uses the arc-length orthogonality method. The geometric imperfection is considered as a linear combination of the first buckling mode by using the method of wave-distributed imperfection. At first, the influence of negative-curvature zone on the buckling behavior of structure is studied. It is found that initial buckling occurs at the zone near the pole when the ratio of hold-down radius to orifice diameter ru/d is from 1.43×10-3 to 9.05×10-3. The influence is negligible in respect that the buckling pressure is nearly fixed. When ru/d is greater than 9.05×10-3, initial buckling occurs at negative-curvature zone near the periphery. At this time, the buckling pressure decreases as the increase of ru/d. Then, the correlations between buckling pressure and similarity criterions such as thickness to diameter ratio, dimensionless pre-deflection are explored. Finally, the influence of normalized notch depths sc/s0 (sc is remaining thickness in grooves) on the buckling pressure of rupture discs is studied. It is found that there is a linear relationship between the buckling pressure and sc/s0.
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