Hysteretic Plate Finite Element
Publication: Journal of Engineering Mechanics
Volume 141, Issue 10
Abstract
A hysteretic plate finite element for inelastic, static and dynamic analysis is presented and its performance is compared with currently used methods. A smooth, 3D hysteretic rate-independent model is utilized generalizing the uniaxial Bouc–Wen model. This is expressed in tensorial form, which incorporates the yield criterion and hardening law. The elastic mixed interpolation of tensorial components with four nodes (MITC4) element is extended by considering as additional hysteretic degrees of freedom the plastic strains at the Gauss points of each layer interface, which evolve following Bouc–Wen equations. Incorporating hysteretic relations directly into the element’s formulation is proved computationally advantageous and enables a better identification of the involved parameters in cyclic loading. The solution advances by establishing the equilibrium of external and internal forces on the basis of the initially computed stiffness and hysteretic structural matrices, thereby avoiding Gauss integration at every iteration of Newmark’s method steps, over the volume of each element. The additional evolution equations decoupled at every Gauss point are integrated tracing the elastoplastic path. Numerical results are presented that validate the proposed method, demonstrating the efficacy, accuracy and generality of the proposed approach.
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Published In
Journal of Engineering Mechanics
Volume 141 • Issue 10 • October 2015
Copyright
© 2015 American Society of Civil Engineers.
History
Received: Oct 12, 2014
Accepted: Dec 15, 2014
Published online: May 7, 2015
Published in print: Oct 1, 2015
Discussion open until: Oct 7, 2015
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