Inelastic transient dynamic analysis of Reissner-Mindlin plates by the D/BEM

A direct domain=boundary element method (D=BEM) for dynamic analysis of elastoplastic Reissner{Mindlin plates in bending is developed. Thus, e ects of shear deformation and rotatory inertia are included in the formulation. The method employs the elastostatic fundamental solution of the problem resulting in both boundary and domain integrals due to inertia and inelasticity. Thus, a boundary as well as a domain space discretization by means of quadratic boundary and interior elements is utilized. By using an explicit time- integration scheme employed on the incremental form of the matrix equation of motion, the history of the plate dynamic response can be obtained. Numerical results for the forced vibration of elastoplastic Reissner{Mindlin plates with smooth boundaries subjected to impulsive loading are presented for illustrating the proposed method and demonstrating its merits.