Open Access

ARTICLE

The Effect of Internal Support Conditions to the Elastoplastic Transient Response of Reissner-Mindlin Plates

C. P. Providakis¹

1 TechnicalUniversity of Crete, Greece

Computer Modeling in Engineering & Sciences 2007, 18(3), 247-258. https://doi.org/10.3970/cmes.2007.018.247

Abstract

The method of Domain/Boundary Element is used to achieve a dynamic analysis of elastoplastic thick plates resting on internal supports. All possible boundary conditions on the edge of the plate with any interior support conditions such as isolated points (column), lines (walls) or regions (patches) can be treated without practical difficulties. The formulation presented includes the effects of shear deformation and rotatory inertia following Reissner-Mindlin's deformation theory assumptions. The method employs the elastostatic fundamental solution of the problem resulting in both boundary and domain integrals due to inertia, plasticity and interior support effect terms. By discretizing the integral equations and integrating the resulting matrix equation of motion by an explicit step-by-step time integration algorithm, the dynamic inelastic response of the plate can be obtained. Several complicated examples for impacted thick plates with different internal support conditions are presented to illustrate the efficiency of the method.

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Keywords

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