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The effect of internal support conditions to the elastoplastic transient response of Reissner-Mindlin plates

Providakis Konstantinos

Πλήρης Εγγραφή

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Περίληψη

The method of Domain/Boundary Element is used to achieve a dynamic analysis of elastoplastic thick plates resting on internal sup- ports. All possible boundary conditions on the edge of the plate with any interior support con- ditions 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 ro- tatory inertia following Reissner-Mindlin’s defor- mation theory assumptions. The method employs the elastostatic fundamental solution of the prob- lem resulting in both boundary and domain inte- grals due to inertia, plasticity and interior support effect terms. By discretizing the integral equa- tions and integrating the resulting matrix equation of motion by an explicit step-by-step time inte- gration 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 illus- trate the efficiency of the method.

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