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A general and advanced boundary element transient analysis of elastoplastic plates

Providakis Konstantinos

Πλήρης Εγγραφή

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Περίληψη

A direct boundary element approach is developed for the determination of the transient response of thin elastoplastic flexural plates of arbitrary shape, and simple or double connectivity. All kinds of boundary conditions (uniform or mixed) are treated, and the effects of corners and internal supports are considered. The method employs the static fundamental solution of the problem and this creates not only boundary integrals but surface integrals as well owing to the presence of the plasticity effect, the inertial and external lateral load. Thus, boundary as well as domain (interior) elements are used in the space descretization of the problem. Linear isoparametric elements with a Hermitian interpolation for the deflection and quadratic isoparametric elements are employed for the boundary and interior descretization, respectively. Subsequently, using an explicit time integration scheme employed on the incremental form of the matrix equation of motion, the solution is obtained. Several examples are presented to illustrate the efficiency and accuracy of the proposed method.

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