The dynamic response analysis problem of a thin elasto-plastic flexural plates is solved by a direct domain/boundary element method. The method employs the elastostatic fundamental solution of thin flexural plates in a time domain integral formulation. Thus, the plasticity effect, the inertial load and the external lateral load appear in domain integrals in the boundary integral formulation of the problem. This requires a boundary as well as an interior discretization of the plate. Quadratic isoparametric boundary and interior elements are employed for increased accuracy. The solution is obtained by an explicit time integration scheme employed on the incremental form of the matrix equations of motion. The incremental plastic moments needed to evaluate the plasticity effect are calculated by a finite element methodology to avoid the evaluation of highly singular terms. Numerical examples are presented to illustrate the proposed method and compare it against the finite element method.

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