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An algorithm for stable transient solutions was developed for a non‐linear constitutive model for void growth and nucleation with elasto‐plastic deformation of plate structures under bending loads. The Gurson model was used for void growth and plastic deformation. The constitutive model was incorporated into a plate element which includes both transverse shear and normal deformations. Numerical examples were provided to test the algorithm and to show the effects of the transverse normal deformation and void on plastic strains in plate structures.

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