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Journal Articles Finite Elements in Analysis and Design Year : 2015

Adaptive zooming method for the analysis of large structures with localized nonlinearities

Abstract

Simulating concrete cracking requires nonlinear modelling applied on a refined mesh if a correct evaluation of crack properties needs to be achieved. Therefore, it is rather costly and even sometimes impossible when large reinforced concrete structures are considered. Alternative solutions have therefore to be proposed. This contribution presents a structural zooming method for the simulation of large reinforced concrete structures with localized nonlinearities. Our method is based on static condensation (Guyan 1965) and provides an adaptive framework for performance-oriented use of this method in nonlinear simulations. In particular, it only simulates the behavior of nonlinear interesting zones (detected by adapted criteria). The areas where refined modelling is not required are replaced by their equivalent stiffnesses. The linearity criteria, depending on the chosen mechanical models, are also used to activate new interesting zones during the simulation. This method substantially decreases the computational cost on both presented test cases (a two-dimensional concrete beam and a three-dimensional reinforced concrete building).
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Dates and versions

hal-01221709 , version 1 (16-04-2021)

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Antoine Llau, Ludovic Jason, Frédéric Dufour, Julien Baroth. Adaptive zooming method for the analysis of large structures with localized nonlinearities. Finite Elements in Analysis and Design, 2015, 106, pp.73-84. ⟨10.1016/j.finel.2015.07.011⟩. ⟨hal-01221709⟩
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