Hysteretic Finite Elements for the Nonlinear Static and Dynamic Analysis of Structures
Publication: Journal of Engineering Mechanics
Volume 140, Issue 6
Abstract
A new numerical analysis procedure is presented for the nonlinear analysis of structures. The proposed methodology is developed within the framework of the direct stiffness method and the hysteretic formulation of finite elements. The derived numerical scheme relies on the natural evolution of localized inelastic quantities within the element, that is, the plastic deformation evaluated at properly defined collocation points rather than the evaluation of global and varying state matrices. This is accomplished by considering the additive decomposition of the total strain rate into elastic and plastic parts. Using the principle of virtual work, an equilibrium expression is derived in which the total applied load is equilibrated by an elastic internal force vector and an additional term acting as a nonlinear correction to the elastic component. The evolution of the plastic components is based on a smooth multiaxial hysteretic law that is derived within the framework of classical plasticity. Examples are presented that demonstrate the validity of the proposed method and its computational advantages with respect to existing methods of inelastic analysis.
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Acknowledgments
This work was supported by the ΠEBE 2010 programme for basic research of National Technical University of Athens.
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Published In
Journal of Engineering Mechanics
Volume 140 • Issue 6 • June 2014
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Jan 19, 2013
Accepted: Aug 15, 2013
Published ahead of production: Aug 19, 2013
Published online: Jan 22, 2014
Published in print: Jun 1, 2014
Discussion open until: Jun 22, 2014
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